what value of x makes the equation 33xx = 11 true
Answers
Therefore, the values of x that make the equation 33x² = 11 true are x = 1/√3 or x = -1/√3.
What is equation?In mathematics, an equation is a statement that asserts the equality of two expressions, often separated by an equal sign. An equation typically has one or more variables, which are values that can change or vary, and one or more constants, which are values that are fixed. The goal of solving an equation is to find the values of the variables that make the equation true. Equations can be used to model relationships between different quantities, and they are a fundamental tool in many areas of mathematics, science, engineering, and economics.
Here,
To solve the equation 33x² = 11, we need to isolate the variable x on one side of the equation.
First, we can divide both sides of the equation by 33:
33x²/33 = 11/33
Simplifying this gives:
x² = 1/3
To solve for x, we can take the square root of both sides of the equation:
√(x²) = √(1/3)
Simplifying this gives:
|x| = 1/√3
So, x could be either positive or negative:
x = 1/√3 or x = -1/√3
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Related Questions
if there are 2 boards on a shelf one is 234 in the other is 246 in what is the total legth of the boards
Answers
The lengths of the two boards (234 inches and 246 inches) and adding them together, we find that the combined length of the boards is 480 inches.
To find the total length of the two boards, you need to add their individual lengths together.
Step 1: Identify the length of each board. The first board is 234 inches long, and the second board is 246 inches long.
Step 2: Add the lengths of the boards together.
234 (length of first board) + 246 (length of second board) = 480
So, the total length of the two boards on the shelf is 480 inches. This means that if you were to place the two boards end-to-end, they would cover a distance of 480 inches.
In summary, by identifying the lengths of the two boards (234 inches and 246 inches) and adding them together, we find that the combined length of the boards is 480 inches. This calculation helps us understand the total amount of space the boards would occupy if placed side by side.
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GIVING 30 PONTS!! PLEASE ANSWER ALL 4!! NO LINKS
Answers
Answer:
See below
Step-by-step explanation:
The measure of all the arcs can be obtained by using 'Central angle and its corresponding arc theorem'.
1. The measure of arc AD is \( \boxed {105}\degree \)
2. The measure of arc ABC is \( \boxed {205}\degree \)
3. The measure of arc ADB is \( \boxed {190}\degree \)
4. The measure of arc BD is \( \boxed {85}\degree \)
A surfer recorded the following values for how far the tide rose, in feet, up the beach over a 15-day period.
2, 7, 8, 9, 12, 13, 14, 15, 16, 18, 20, 20, 21, 24, 25
Which of the following histograms best represents the data collected?
A histogram titled Tides For 15 Days with an x-axis labeled Measurement In Feet with intervals of 1 to 5, 6 to 10, 11 to 15, 16 to 20, and 21 to 25. The y-axis is labeled Frequency and starts at 0 with tick marks every one unit up to 7. There is a shaded bar above 1 to 5 that stops at 2, above 6 to 10 that stops at 4, above 11 to 15 that stops at 2, above 16 to 20 that stops at 4, and above 21 to 25 that stops at 3.
A histogram titled Tides For 15 Days with an x-axis labeled Measurement In Feet with intervals of 1 to 5, 6 to 10, 11 to 15, 16 to 20, and 21 to 25. The y-axis is labeled Frequency and starts at 0 with tick marks every one unit up to 7. There is a shaded bar above 1 to 5 that stops at 1, above 6 to 10 that stops at 4, above 11 to 15 that stops at 5, above 16 to 20 that stops at 1, and above 21 to 25 that stops at 4.
A histogram titled Tides For 15 Days with an x-axis labeled Measurement In Feet with intervals of 1 to 5, 6 to 10, 11 to 15, 16 to 20, and 21 to 25. The y-axis is labeled Frequency and starts at 0 with tick marks every one unit up to 7. There is a shaded bar above 1 to 5 that stops at 1, above 6 to 10 that stops at 5, above 11 to 15 that stops at 4, above 16 to 20 that stops at 2, and above 21 to 25 that stops at 3.
A histogram titled Tides For 15 Days with an x-axis labeled Measurement In Feet with intervals of 1 to 5, 6 to 10, 11 to 15, 16 to 20, and 21 to 25. The y-axis is labeled Frequency and starts at 0 with tick marks every one unit up to 7. There is a shaded bar above 1 to 5 that stops at 1, above 6 to 10 that stops at 3, above 11 to 15 that stops at 4, above 16 to 20 that stops at 4, and above 21 to 25 that stops at 3.
Answers
The correct histogram that best represents the data collected a skewed right histogram.
What is Histogram :A histogram is a graphic representation of a frequency distribution with grouped continuous classes. A series of rectangles with bases equal to the distances between class boundaries and areas proportional to frequencies in the associated classes make up the area diagram.
The correct histogram that best represents the data collected is:
Tides For 15 Days is a histogram with the intervals 1 to 5, 6 to 10, 11 to 15, 16 to 20, and 21 to 25 on the x-axis and Measurement In Feet on the y-axis. The y-axis is labeled Frequency and starts at 0 with tick marks every one unit up to 7. There is a shaded bar above 1 to 5 that stops at 1, above 6 to 10 that stops at 5, above 11 to 15 that stops at 4, above 16 to 20 that stops at 2, and above 21 to 25 that stops at 3.
This histogram correctly represents the distribution of the data, with the majority of the values falling between 6 to 20 feet. The interval 1 to 5 feet has only one value, the interval 6 to 10 feet has the highest frequency with five values, the interval 11 to 15 feet has four values, the interval 16 to 20 feet has two values, and the interval 21 to 25 feet has three values. This distribution shows a skewed right histogram.
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Investment question Part 2: $3,500 is invested at 7%. How much money
will be in the account after 17 years?
Answers
Answer:
$7665
Explanation:
simple interest: principal * rate (%) * time (years)
Given:
principal: $3,500
rate: 7%
time: 17 years
Solve for interest received:
3,500 * 7% * 17
$4165
Total money in account:
$4165 + $3,500
$7665
Mario is 68.5 inches tall. Tyler is 63.25 inches tall. How much taller is Mario than Tyler
Answers
Answer:
5.25inches
Step-by-step explanation:
difference in height = 68.5-63.25 =5.25
Height of Mario Hm = 68.5 inches
Height of Tyler Ht = 63.25 inches
Evidently, Hm > Ht
Now difference = Hm - Ht = 68.5 - 63.25
= 5.25 inches
Answer: Mario is 5.25 inches taller than Tyler.
Write an equation for the nth term of the arithmetic sequence 30,23,16,9,2
Answers
Answer
an=a1+(n-1)d
Step-by-step explanation:
a2-a=9_2=7
a3-a2=16-9=7
a4-a3=23-16=7
a5-a4=30-23=7
A concession stand sells smoothies. At the end of the day they had sold 14 strawberry,
18 banana, 8 grape, and 6 orange. Tell which ratio is greater, strawberry to orange or
banana to grape.
A. Banana to grape
B. Strawberry to orange
Answers
Answer:
A. Banana to grape this should be right
What happens if the red lines are NOT parallel. Which angle types are still congruent? (Please help...thanks)
Answers
Answer:
When the red lines in a geometric figure are not parallel, the congruency of angles may vary. Vertical angles formed by the intersection of non-parallel lines are always congruent, while corresponding angles and alternate interior angles may or may not be congruent. The congruency of angles depends on the specific relationship between the angles and the lines in the figure, and further analysis of the figure would be necessary to determine which angles are congruent.
PLEASE BE QUICK IM TIMED
Answers
Answer:
A. x < - 3
Step-by-step explanation:
-4x + 6 > 18
−4x > 18−6
−4x > 12
x <− 12/4
x < - 3
What are the MRSs? Determine if there is a diminishing MRS
a. U(x,y)=3x+y
b. U(x,y)=x.y
c. U(x,y)=x⋅y
d. U(x,y)=x2−y2
e. U(x,y)=x+yx.y 3.
Consider each of a. U(x,y)=x0.1y0.4 b. U(x,y)=min(αx,βy) c. U(x,y)=αx+βy calculate the following i. Demand curves for x and y ii. Indirect utility function iii. (Indirect) expenditure function iv. Show that the demand curve is homogeneous in degree zero in terms of income and prices
Answers
a. The MRS is constant (not diminishing) at 1/3.
U(x,y) = 3x + y
The MRS for this utility function can be found by taking the partial derivative of x concerning y:
MRS = ∂U/∂y / ∂U/∂x = 1 / 3
The MRS is constant (not diminishing) at 1/3.
b. The MRS is diminishing because as y increases, the MRS decreases.
U(x,y) = x * y
The MRS for this utility function can be found by taking the partial derivative of x concerning y:
MRS = ∂U/∂y / ∂U/∂x = 1 / y
The MRS is diminishing because as y increases, the MRS decreases.
c. The MRS is diminishing because as y increases, the MRS decreases.
U(x,y) = x * y
The MRS for this utility function can be found by taking the partial derivative of x concerning y:
MRS = ∂U/∂y / ∂U/∂x = 1 / y
Similar to the previous case, the MRS is diminishing because as y increases, the MRS decreases.
d. The MRS depends on the ratio of y to x and can vary.
U(x,y) = x^2 - y^2
The MRS for this utility function can be found by taking the partial derivative of x concerning y:
MRS = ∂U/∂y / ∂U/∂x = -2y / 2x = -y / x
The MRS depends on the ratio of y to x and can vary. It is not necessarily diminishing.
e. The MRS depends on the values of x and y and can vary.
U(x,y) = x + y / (x * y)
The MRS for this utility function can be found by taking the partial derivative of x concerning y:
MRS = ∂U/∂y / ∂U/∂x = -1 / (y^2) + 1 / (x^2 * y)
The MRS depends on the values of x and y and can vary. It is not necessarily diminishing.
Now let's move on to the second part of the question:
For parts a, b, and c, we need more specific information about the utility functions, such as the values of α and β, to calculate the demand curves for x and y, the indirect utility function, and the expenditure function.
To show that the demand curve is homogeneous in degree zero in terms of income and prices, we need the specific functional form of the utility functions and information about the prices of x and y. Please provide the necessary details for parts A, b, and c to continue the analysis.
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PLS HELPP I NEED AN ANSWER ASAP ILL GIVE BEAINLIEST
Answers
The top right graph could show the arrow's height above the ground over time.
Which graph models the situation?The initial and the final height are both at eye level, which is the reference height, that is, a height of zero.
This means that the beginning and at the end of the graph, it is touching the x-axis, hence either the top right or bottom left graphs are correct.
The trajectory of the arrow is in the format of a concave down parabola, hitting it's maximum height and then coming back down to eye leve.
Hence the top right graph could show the arrow's height above the ground over time.
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A website reports that 70% of its users are from outside a certain country. Out of their usersfrom outside the country, 60% of them log on every day. Out of their users from inside the country,80% of them log on every day.
(a) What percent of all users log on every day? Hint: Use the equation from Part 1 (a).
(b) Using Bayes’ Theorem, out of users who log on every day, what is the probability that theyare from inside the country?
Answers
The probability that a user who logs on every day is from inside the country is 36.36%.
(a) To find the percent of all users who log on every day, we need to calculate the weighted average of the percentage of users who log on every day from outside the country and inside the country. Let's call this percentage "x".
x = 0.7 * 0.6 + 0.3 * 0.8
x = 0.42 + 0.24
x = 0.66
Therefore, 66% of all users log on every day.
(b) Bayes' Theorem states that the probability of an event A happening given that event B has occurred is equal to the probability of B given A multiplied by the probability of A, divided by the probability of B.
Let's define event A as a user being from inside the country and event B as a user logging on every day. We want to find the probability of A given B.
P(A|B) = P(B|A) * P(A) / P(B)
We already know P(B|A) = 0.8 (the probability of a user logging on every day given that they are from inside the country). We also know P(A) = 0.3 (the probability of a user being from inside the country). We just calculated P(B) in part (a) as 0.66.
P(A|B) = 0.8 * 0.3 / 0.66
P(A|B) = 0.3636
Therefore, the probability that a user who logs on every day is from inside the country is 36.36%.
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The number of traffic accidents on successive days are independent Poisson random variables with mean 2.
(a) Find the probability that 3 of the next 5 days have two accidents.
Answers
The probability that 3 of the next 5 days have two accidents is approximately 0.225. We can use the Poisson distribution to model the number of traffic accidents on each day, with a mean of 2. Let X be the number of accidents on a single day, then X ~ Poisson(2).
(a) To find the probability that 3 of the next 5 days have two accidents, we can use the binomial distribution since we are interested in the number of successes (days with two accidents) in a fixed number of trials (5 days). Let Y be the number of days with two accidents in 5 days, then Y ~ Binomial(5, P), where P is the probability of having two accidents on a single day.
Since X ~ Poisson(2), we know that P(X = 2) = e^(-2) * 2^2 / 2! = 0.2707 (using the Poisson probability formula). Therefore, P = 0.2707 is the probability of having two accidents on a single day.
Using the binomial probability formula, we can find the probability of having exactly 3 days with two accidents in 5 days:
P(Y = 3) = (5 choose 3) * 0.2707^3 * (1 - 0.2707)^2 = 0.225
Therefore, the probability that 3 of the next 5 days have two accidents is approximately 0.225.
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The value of a home increases by 7%each year. Explain why the value of the home doubles approximately once each decade
Answers
The value of a home increases by 7%each year, by compounding the value of the home doubles approximately once each decade.
What is compounding?Compounding is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. and this continues for t period of time.
It is given by the formula,
A=P(1+r)^t
where A is the value after t period of time,
P is the value of the asset at the beginning, and,
r is the rate of interest.
The value of the home doubles once each decade.
Given to us
The value of a home increases by 7% each year.
As it is given that the value of a home increases by 7% each year, therefore, the value of the home is compounding every year.
We know the formula of compounding,
A=P(1+r)^t
Why does the value doubles?
Now, let's assume a house whose value is 'P' today, therefore, substitute the value of the house in the formula of compounding,
A=P(1+r)^t
Substitute the rate at which the value is increasing,
A=P(1+0.07)^t
We know that in a decade there are 10 years,
A=P(1+0.07)^10=P(1.07)^10
=1.967P
Approximately
=2P
As we can see that the value of the home is almost 2 times the 'P' therefore, twice the value of the home at the beginning.
Hence, the value of the home doubles once each decade.
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Simple question free brainly
0 + (1/2)×(2. 219^2)*9. 81
Answers
The simplified value of the given expression 0 + (1/2)×(2. 219^2)*9. 81 is 24.143810005.
To simplify the expression, we can use the Order of Operations (PEMDAS): 1. Parentheses 2. Exponents 3. Multiplication 4. Division 5. Addition 6. Subtraction. Hence, to simplify the expression 0 + (1/2)×(2.219^2)*9.81, we need to follow the order of operations (PEMDAS).
1. The parentheses must be solved first: (2.219^2) = 4.924361
2. The exponents are solved next: there are none in this expression
3. The multiplication must be carried out next: 4.924361x9.81 = 48.30405741
4. The division is done next: (1/2)x48.30405741 = 24.143810005
5. The addition and subtraction are carried out last: 0 + 24.143810005 = 24.143810005
Therefore, the simplified expression is 24.143810005.
Note: The question is incomplete. The complete question probably is: Simplify the question 0 + (1/2)×(2. 219^2)*9. 81
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the pay rate and hours worked are given below. use this information to determine the following. the gross earnings federal taxes (assuming 18% of gross earnings) state taxes (assuming 4% of gross earnings) social security deduction (assuming 7.05% of gross earnings) total deductions net pay earnings description rate hours current regular $7.50 30.0 $ taxes and deductions fed tax $ state tax $ soc sec $ total deductions $ net pay $
Answers
The gross earnings are $225, federal taxes are $40.50, state taxes are $9, social security deduction is $15.86, total deductions are $65.36, and the net pay is $159.64.
The gross earnings are determined by multiplying the pay rate by the number of hours worked.
Federal taxes, state taxes, and social security deductions are calculated by applying the respective tax rates to the gross earnings.
Total deductions are the sum of federal taxes, state taxes, and social security deductions.
Net pay is obtained by subtracting the total deductions from the gross earnings.
To calculate the gross earnings, we multiply the pay rate of $7.50 by the number of hours worked, which is 30.
Therefore, the gross earnings are $7.50 * 30 = $225.
Next, we can calculate the federal taxes by applying the tax rate of 18% to the gross earnings.
The federal taxes amount to 18% * $225 = $40.50.
Similarly, the state taxes can be calculated by applying the tax rate of 4% to the gross earnings.
The state taxes amount to 4% * $225 = $9.
To determine the social security deduction, we apply the tax rate of 7.05% to the gross earnings.
The social security deduction amounts to 7.05% * $225 = $15.86.
The total deductions are the sum of the federal taxes, state taxes, and social security deduction.
Thus, the total deductions are $40.50 + $9 + $15.86 = $65.36.
Finally, to calculate the net pay, we subtract the total deductions from the gross earnings.
Therefore, the net pay is $225 - $65.36 = $159.64.
In conclusion, the gross earnings are $225, federal taxes are $40.50, state taxes are $9, social security deduction is $15.86, total deductions are $65.36, and the net pay is $159.64.
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suppose that 64% of people own dogs. if you pick two people at random, what is the probability that they both own a dog
Answers
The probability that both people own a dog is approximately 0.4096, or 40.96%.
To solve this problem, we can use the formula for calculating the probability of the intersection of two independent events: P(A and B) = P(A) x P(B).
Let's define A as the event that the first person owns a dog, and B as the event that the second person owns a dog. Since the two people are chosen at random, we can assume that these events are independent.
According to the problem, P(A) = P(B) = 0.64, since 64% of people own dogs. Therefore, the probability of both events occurring is:
P(A and B) = P(A) x P(B) = 0.64 x 0.64 = 0.4096
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Do number 3 am giving brainliest look below
Answers
Answer:
18 cm^2
Step-by-step explanation:
help plssssss help mewith math ok
Answers
Answer: umm jus look up what a histogram is
Step-by-step explanation:
A rectangle has the following vertices: A(-1, 9), B(0, 9), C(0, -8), D(-1, -8). What is the area of rectangle ABCD?
Answers
The area of the rectangle is 17 square units.
How to find the area of the rectangle?The area of a rectangle is the product between the two dimensions (length and width) of the rectangle.
Here we know that the vertices are:
A(-1, 9), B(0, 9), C(0, -8), D(-1, -8)
We can define the length as the side AB, which has a lenght:
L = (-1, 9) - (0, 9) = (-1 - 0, 9 - 9) = (-1, 0) ----> 1 unit.
And the width as BC, which has a length:
L = (0, 9) - (0, -8) = (0 - 0, 9 + 8) = (0, 17) ---> 17 units.
Then the area is:
A = (1 unit)*(17 units) = 17 square units.
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To Buy or To Rent After university, you got a new job. Then you decide to rent a spacious two-story townhouse for $2,000 per month, which included parking but not utilities or cable television. You enjoyed the neighborhood. A while later, the next-door identical townhouse became available. You can purchase it for $350,000. You wonder if this is a good time for you to own your first home. You decide to consult family at a gathering. Members of your family had given you mixed opinions around the buy versus rent debate. Some family suggested that you should buy because the home will appreciate and increase in value over time. Others suggested that rent is better because it gave you flexibility to move and it is cheaper to rent. You could not decide which way to do. In organizing your house after the dinner, you found your notes from Engineering Economics. You remembered that some of the math you learnt can be used for project evaluation. You decided to conduct a financial analysis to help you understand which option is better. If you purchase the home, you will start to pay a maintenance fee of $350 per month. On top of that, you will also need to pay for annual property tax of $3,600, which can be paid monthly. As a first-time buyer, you qualify for 5% down payment. If you choose this option, you will have to include a default insurance of $15,000 as part of your mortgage. To avoid the insurance, you will need to provide 20% of down payment. You will also need about $2,000 for your lawyer to close the deal in either case. You are prequalified for a five-year closed conventional mortgage with an interest rate of 5.5%, compounded semiannually. You hope to amortize the mortgage in 25 years with monthly payments. At the end of the five-year term, you have the option to pay off the mortgage in full without penalty. You are currently earning $5,000 per month and have a saving of $80,000 in the bank account earning 4.5% interest rate, compounded monthly. Your currently spend another $1,500 for living cost, assuming this will stay the same if your purchase. Any unspent amount is being put into your saving account. Your hope is to move to a large home in 5 years regardless. In the event of purchasing, you will sell the home at the market price at the time, plus 5% of the transaction price for retailer, and another $2,000 for legal. Assuming the interest rate are stable, and ignoring inflation, which of the following options should you choose if the house price remains unchanged, and what about the price goes up by 15% ? 1) To rent 2) To buy with 5% down 3) To buy with 20% down Please conduct a financial analysis by calculating the different scenarios, you should state what are some relevant considerations, your assumptions for the financial model, and your recommendations. Particularly, you should explain what cash flows are considered for the analysis, and what are not.
Previous question
Next question
Answers
Based on the financial analysis, the recommended option would be to buy the townhouse with a 20% down payment if the house price remains unchanged or increases by 15%.
The financial analysis takes into account several factors. The cash flows considered include the monthly mortgage payments, maintenance fees, property taxes, closing costs, and potential proceeds from selling the house in the future. The analysis also considers the interest earned on savings and living expenses.
By comparing the costs and potential returns of renting versus buying, it becomes evident that purchasing the townhouse offers better financial prospects. The appreciation in the value of the home over time, along with the equity gained through mortgage payments, can outweigh the expenses associated with owning the property. Additionally, the down payment of 20% eliminates the need for default insurance and reduces the overall interest paid on the mortgage, making it a more favorable option.
Furthermore, owning a home provides the benefit of building equity and stability. It allows for personalization and potential improvements to the property. Although renting offers flexibility, the financial analysis suggests that the long-term benefits of homeownership outweigh the advantages of renting in this scenario.
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A mattress store is having a sale. All mattresses are 30% off. Nate wants to know the sale
price of a mattress that is regularly $1,000.
Which table represents the situation?
Answers
Answer:
sale price is
Step-by-step explanation:
1000x 30/100
1000x0.3
$300.00
$1000-300.00
=700 sale price
Answer:
The one on the upper right (Regular Price: $1000, Sale Price: ? Discount %30)
Step-by-step explanation:
I got it right on the i-Ready quiz!
A triangle is shown.
What is the area of the triangle, in square units?
A. 22.5
B. 22.6
C. 30.25
D. 45
Answers
Answer:
A. 22.5
Step-by-step explanation:
A= h x b/ 2
A = 5 x 9/ 2
A = 45/2
A = 22.5
Your school is choosing new school colors. Which group should you ask to get a random sample of student opinion?
Answers
The number of bacteria in a refrigerated food product is given by N(T) = 307² - 112T+75,
3
When the food is removed from the refrigerator, the temperature is given by T(t) = 3t+1.7, where t is
the time in hours.
Find the composite function N(T(t)):
N(T(t)) =
Find the time when the bacteria count reaches 20082.
Time Needed ==
hours
Answers
The composite function N(T(t)) = 20082.The time when the bacteria count reaches 20082 is approximately 30.28 hours.
To find the composite function N(T(t)), we need to substitute the expression for T(t) into the function N(T).
Given:
N(T) = 307² - 112T + 75
T(t) = 3t + 1.7
Substituting T(t) into N(T), we get:
N(T(t)) = 307² - 112(3t + 1.7) + 75
Simplifying:
N(T(t)) = 307² - 336t - 190.4 + 75
N(T(t)) = 307² - 336t - 115.4
Now let's find the time when the bacteria count reaches 20082.
N(T(t)) = 20082
307² - 336t - 115.4 = 20082
Taking 115.4 to the other side:
\(307^2\) - 336t = 20082 + 115.4
307² - 336t = 20197.4
336t = 307² - 20197.4
Dividing by 336:
t = (307² - 20197.4) / 336
Calculating the value of t:
t ≈ 30.28
Therefore, the time when the bacteria count reaches 20082 is approximately 30.28 hours.
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If ak =(-1)for k = 0,1, 2..., which of the following statements about the infinite series ak is true? ko A The series converges and has sum 0. B The series converges and has sum-1. с The series converges and has sum 1. D The series diverges.
Answers
The series ak diverges.
What is the nature of the series ak?The series ak is defined as ak = -1 for k = 0, 1, 2, ... This means that each term of the series is -1.
Since every term of the series is the same (-1), the series does not approach a specific value as the number of terms increases. Instead, it alternates between -1 and 0. As a result, the series ak does not converge to a finite value, and therefore, it diverges.
When a series diverges, it means that the sum of the terms does not approach a finite value. In the case of the series ak, the terms alternate between -1 and 0, so the sum oscillates between -1 and 0 as more terms are added. Hence, the series does not converge.
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Which expression shows 2/3 + 4/5 written using a common denominator
Answers
Answer:
10/15 + 12/15
Step-by-step explanation:
The LCD would be 15 and whatever you do to the top you do to the bottom
A line of best fit is f(x) ≈ −0. 86x 13. 5 for the set of points in the table. A 2-column table with 7 rows. The first column is labeled x with entries 2, 3, 5, 6, 7, 8, 9. The second column is labeled f(x) with entries 12, 10, 10, 8, 9, 5, 6. Using the equation for the line of best fit, what is a good approximation for the value of the function, f(x), when x = 18? −5 −2 3 12.
Answers
The good approximation for the value of the function, f(x), when x = 18 is -2.
Given
A line of best fit is for the set of points in the table.
What is the linear equation?The standard form of the linear equation is;
\(\rm y =mx+c\)
Where m is the slope of the line and c is the intercept.
Therefore,
By using the equation for the line of best fit, what is a good approximation for the value of the function, f(x), when x = 18 is;
\(\rm f(x) = -0.86x + 13.5\\\\f(18)= -0.86(18)+13.5\\\\f(18)= -15.48 + 13.5 \\\\ f(18)= -1.98\)
Hence, The good approximation for the value of the function, f(x), when x = 18 is -2.
To know more about the Linear function click the link given below.
https://brainly.com/question/2373184
What is the standard form of this expression?
(4y − 9)(2y − 3)
Answers
SECOND TIME ASKING HELP!!!
6. Jackie has n nickels and q quarters in her pocket. The total value of the coins is at least $24.75. Write an inequality that represents how many nickels and quarters Jackie has in her pocket in the space below.
Answers
$24.75 ≤ n + q
The key phrase “at least” lets us know that the lowest amount that Jackie can have is $24.75. We don’t know the quantities of nickels and quarters in this situation, so we keep variables n and q.