What is the inverse of the function f(x) = 2x - 10?
Answers
explanation:
Related Questions
Show your work: 1/2x = 10
Answers
think of it as 1/2 • x = 10
then multiple both sides by 2
1 • x = 20
so x=20
You want to buy a house in 5 years and put aside money in a CD for that purpose. The house will cost $425,000 and the CD pays 5%, compounded monthly. How much did you pay for the CD to have that amount in 5 years?
Answers
The formula to calculate the money in the CD after t months would be:
\(P(1+0.05)^t\)Where P is the principal.
We know that at the end, we will have $425,000 , and that will be after 60 months. Thereby,
\(425000=P(1.05)^{60}\)Solving for P,
\(\begin{gathered} 425000=P(1.05)^{60} \\ \rightarrow\frac{425000}{(1.05)^{60}}=P \\ \\ \rightarrow22750.60 \end{gathered}\)Thereby, if the interest were compounded monthly, we would need to put $22,750.60 into the CD
Katye received 15 gifts and a total of $100 in cash for her birthday. She buys one book that costs $23, and she wants to donate $10 to each of several local charities. How much money will Katye have left over if she donates to as many charities as possible?Describe steps you would use to solve the problem. You do not need to find the answer.
Answers
Answer:
To solve this problem, we need to subtract the cost of the book and the total amount donated to charities from the total amount of cash Katye received for her birthday. Here are the steps:
Add up the value of the gifts Katye received:
Total value of gifts = (value of gift 1) + (value of gift 2) + ... + (value of gift 15)
Add up the value of the cash Katye received:
Total cash = $100
Subtract the cost of the book from the total cash:
Cash remaining after buying the book = $100 - $23
Determine the maximum number of $10 donations that Katye can make:
Maximum number of $10 donations = (cash remaining after buying the book) / $10
Multiply the maximum number of donations by $10 to get the total amount donated:
Total amount donated = (maximum number of $10 donations) x $10
Subtract the cost of the book and the total amount donated from the total cash:
Cash remaining = $100 - $23 - (total amount donated)
The final answer will be the cash remaining after these calculations
Is 5(x + 2y) equivalent to 5x + 10y
Answers
5(x + 2y) is equivalent to 5x + 10y.
Is 5(x + 2y) equivalent to 5x + 10y?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
5(x + 2y)
Open parentheses
= 5x + 10y
Therefore, it is equal.
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Alejandro kicks a football. The graph below shows the height of the football hh in meters after tt seconds. What is the football’s greatest height?
Answers
Answer:
The answer will be 30.625 m
The plot below shows the amount of time Mira spent on
5
55 math problems.
All measurements are rounded to the nearest
1
4
4
1
start fraction, 1, divided by, 4, end fraction minute.
A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten. An unlabeled tick mark appears between each labeled tick mark. Dots are plotted as follows: 2 dots above the unlabeled tick mark between eight and eight and a half and 3 dots above nine and a half.
A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten.
If Mira had spent the same total amount of time, but spent an equal amount of time on each problem, how many minutes would each problem have taken?
Answers
If Mira had spent the same total amount of time but an equal amount of time on each problem, each problem would have taken around 2.36 minutes.
In the given plot, Mira spent varying amounts of time on each of the 55 math problems. To find out how many minutes each problem would have taken if Mira had spent an equal amount of time on each problem, we need to calculate the total time she spent and divide it by the number of problems.
Looking at the plot, we can estimate the total time Mira spent by counting the dots above each tick mark and multiplying them by the corresponding time interval. Let's break it down step by step:
The tick marks on the plot are at 7, 7.5, 8, 8.5, 9, 9.5, and 10 minutes per problem.
There are 2 dots above the unlabeled tick mark between 8 and 8.5 minutes per problem. We can assume it represents 8.25 minutes.
There are 3 dots above the 9.5 minutes per problem tick mark.
Now, let's calculate the total time Mira spent:
(7 * 2) + (7.5 * 2) + (8 * 2) + (8.25 * 2) + (9 * 2) + (9.5 * 3) + (10 * 2) = 129.5 minutes.
Since Mira spent a total of 129.5 minutes on 55 problems, each problem would have taken approximately 2.36 minutes (rounded to two decimal places) if she had spent an equal amount of time on each problem.
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1. Write a polynomial of degree 3 with zeros
x = 3,x= -4, and x = 5.
Answers
The polynomial of degree 3 with zeros at x = 3, x = -4, and x = 5 is P(x) = x^3 - 4x^2 - 17x + 60.
To construct a polynomial of degree 3 with zeros at x = 3, x = -4, and x = 5, we can use the fact that the polynomial can be written as a product of linear factors corresponding to each zero.
The factor corresponding to x = 3 is (x - 3).
The factor corresponding to x = -4 is (x + 4).
The factor corresponding to x = 5 is (x - 5).
To obtain the polynomial, we multiply these factors together:
P(x) = (x - 3)(x + 4)(x - 5)
Expanding this expression gives us:
\(P(x) = (x^2 - 3x + 4x - 12)(x - 5)\)
\(= (x^2 + x - 12)(x - 5)\)
\(= x^3 - 5x^2 + x^2 - 5x - 12x + 60\)
\(= x^3 - 4x^2 - 17x + 60\).
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Which best describes what is happening in section B
Answers
Answer:
Jamal is traveling at a constant speed.
Step-by-step explanation:
because it's a line going straight and not down.
9. CONSTRUCT AN ARGUMENT Determine
if the following statement is true or false.
Construct an argument to defend your
response.
Proportions can only be used to solve
problems where the smaller values are
known and a larger value is unknown.
Answers
Answer:
Step-by-step explanation:
The correct answer is true. If you know that the relationship between quantities is proportional, you can use proportions to find missing quantities.
Question 4 A study has been conducted to compare male and female test performance on a standardised science exam. In this hypothetical study, the researchers reported with a sample size of n = 50, the 95% confidence interval was found to be between 0.15 and 0.55.
What would happen to the 95% confidence interval if the sample size was increased?
The 95% confidence interval would remain the same Cannot be determined from the information provided The 95% confidence interval would decrease The 95% confidence interval would increase
Answers
If the sample size was increased, the 95% confidence interval would decrease. A larger sample size would provide more precise and accurate data, resulting in a narrower confidence interval.
A confidence interval is a range of values within which a population parameter is estimated to lie with a certain level of confidence. It is commonly used in statistical inference to estimate the true value of a population parameter based on a sample from that population.
If the sample size was increased, the 95% confidence interval would likely decrease. This is because a larger sample size typically leads to more precise estimates and less variability in the data, resulting in a narrower confidence interval. However, the exact size of the decrease would depend on various factors such as the amount of variability in the data and the level of statistical significance chosen for the study.
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edge- a line segment where two __ meet
Answers
Hey there!
\(Answer:\boxed{\text{verticles}}\)
Edge - a line segment where two verticals meet.
Hope this helps!
\(\text{-TestedHyperr}\)
Question Forest Fires and Acres Burned Numbers ( in thousands ) of forest fires over the year and the number ( in hundred thousands ) of acres burned for 7 recent years are shown . Number of fires x 62 72 69 58 47 84 Number of acres burned y 51 15 62 42 26 15. find the equation of the regression line. y'=a+bx a=__ b=__ find y' when x is 65
Answers
The equation of the regression line is y = -0.43x + 63.27
How to find the equation of the regression line.To determine the equation of the regression line, we make use of a graphing calculator with the following summary:
Sum of X = 392Sum of Y = 211Mean X = 65.3333Mean Y = 35.1667Sum of squares (SSX) = 807.3333Sum of products (SP) = -347.3333The regression equation is represented as
ŷ = bX + a
So, we have
b = SP/SSX = -347.33/807.33 = -0.43022
a = MY - bMX = 35.17 - (-0.43*65.33) = 63.27457
This gives
ŷ = -0.43022X + 63.27457
Approximate
y = -0.43x + 63.27
When x = 65, we have
y = -0.43 * 65 + 63.27 = 35.32
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Compute the partial products.add them 349x 59
Answers
Refer to the given terms . A pattern defines the relationship between the first two terms . Determine the relationship and identify the missing term of the second pair , such that both the pairs are analogous . AZP : ZAR :: TXK :
Answers
The missing term in the second pair is YUL.
To determine the relationship between the first two terms, let's analyze the given pattern: AZP : ZAR.
If we look closely, we can observe that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.
So, applying the same pattern to the second pair (TXK), we need to shift each letter one position forward in the alphabet:
T + 1 = U
X + 1 = Y
K + 1 = L
Therefore, the missing term in the second pair is YUL.
The analogy between the pairs is that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.
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The coordinate grid shows the graph of four equations:
Which set of equations has (1, 2) as its solution?
A and D
C and D
A and C
B and D
Answers
Answer:
its A and C
Step-by-step explanation:
hope this helps and mark me brainliest
What is -20/2(7 2/3)
Answers
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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Energy is generated from solar and wind power. Solar power must be at most 6units/day or the panels will burn out. Wind must be strong enough to power 1 unit/ day or else the turbines won’t turn. The wind power must be less than twice the solar power less one, or the batteries wont charge properly. Find the optimal production of wind and solar that will maximize overall power output
Answers
Efficiency.Compared to solar panels' efficiency range of 18% to 22%, wind turbines typically capture 60% of the energy that flows through them.
What is more efficient wind or solar energy?Efficiency.Compared to solar panels' efficiency range of 18% to 22%, wind turbines typically capture 60% of the energy that flows through them.This proves that a single home wind turbine can generate more electricity than a number of solar panels.By the movement of air in relation to the Earth's surface, wind energy, a type of solar energy, is created.When the Earth's surface is heated unevenly by the Sun, this type of energy is created. The Earth's rotation and surface topography then alter this energy.Photovoltaic (PV) panels or solar radiation-concentrating mirrors are two ways that solar technologies turn sunlight into electrical energy.Electricity can be produced from this energy, which can also be used to store energy thermally or in batteries.To learn more about solar energy refer
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2. Rosa sees 3 goats in a pen. She sees 37 more goats go into the pen. Then she sees 14 goats leave the pen. How many goats are left in the pen?
Answers
Step 1
Rosa sees 3 goats in a pen, 37 more goats go into the pen and 14 goats leave the pen.
Required; To find how many goats are left in the pen.
Step 2
Find how many goats were in the pen altogether
\(3+\text{ 37 = }40\text{ goats}\)Step 3
Calculate the number of goats left in the pen
\(40goats-14\text{ goats that left = 26 goats}\)Hence, there will be 26 goats left in the pen.
What is the measure of angle XYZ?
Answers
Answer:
63degrees
Step-by-step explanation:
Using the theorem which states that the measure of angle at the vertex is half the angle of its intercepted arc.
Given
angle of its intercepted arc = 126 degree
Required
angle at the vertex = x =<XYZ
According to the theorem;
x = 1/2(126)
x = 126/2
x = 63
Hence the measure of <XYZ is 63degrees
Three baseball players are playing catch. Jessica is directly south of Aaron and directly west of Mike. Jessica and Mike are 8 meters apart and Mike and Aaron are 10 meters apart, How far apart are Jessica and Aaron?
Answers
Answer:
6 m
Step-by-step explanation:
The diagrammatic illustration of the problem. Is attached
The diaabcw between Aaron and Jessica can be obtained using Pythagoras :
d = √(10² - 8²)
d = √100 - 64
d = √36
d = 6
An example of a sixth-degree polynomial with a leading coefficient of seven and a constant term of four is
A:6x^7-x^5+2x+4
B:4+x+7x^6-3x^2
C:7x^4+6+x^2
D:5x+4x6+7
Answers
Option B: \(4+x+7x^6-3x^2\) represents a sixth-degree polynomial with a leading coefficient of seven and a constant term of four.
What is a polynomial function?In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1. A function that can be expressed as a polynomial is referred to as a polynomial function. A polynomial equation's definition can be used to derive the definition. A polynomial is typically denoted by P. (x). The degree of the variable in P(x) is its maximum power. The degree of a polynomial function is crucial because it reveals how the function P(x) will behave when x is very large. Whole real numbers make up a polynomial function's domain (R).
Option B: \(4+x+7x^6-3x^2\) represents a sixth-degree polynomial with a leading coefficient of seven and a constant term of four.
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Given the inscribed polygon, find the value of both x .and y.
X =
y =
please help!!!
Answers
y= 107
This is because opposite angles in a cycling quadrilateral ( the inscribed polygon) are equal to 180
Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 34
books. There are 1,326 mystery books. How many shelves will he need to build?
How many shelves will he need to build?
PLEASE HELP ILL MARK BRAINLIEST!!
Answers
Answer:
39 shelves needed to build
Step-by-step explanation:
To find the number of shelves needed we need to divide the number of mystery books by 34
We know that. Each shelf can hold 34.
It is given that, There are 1,326 mystery books
So, 1,326/34
39 shelves needed to build
Which number is on the y-axis (4,6)
Answers
Answer:
6
Step-by-step explanation:
whats the place value of number 4 in the number 1 345.87?
Answers
Answer:
Tens
Step-by-step explanation:
Decimal Place Values:
millions
hundred thousands
ten thousands
thousands
hundreds
tens
ones
. decimal point
tenths
hundreths
thousandths
ten thousandths
In equilateral triangle ABC above, y =
(A) 40
(B) 60
(C) 70
(D) 75
(E) 80
Answers
Answer:
60°
Step-by-step explanation:
In an equilateral triangle all sides are equal so as all angles are same,
3 sided fig. 180÷3= 60°
3/8 of the plants neede3/8 of the plants needed water. 63 plants need water. How many plants are there total?d water. 63 plants need water. How many plants are there total?
Answers
The total number of plants is given as follows:
168 plants.
How to obtain the total number of plants?The total number of plants is obtained applying the proportions in the context of this problem.
The variable that represents the total number of plants is given as follows:
n.
The fraction of the number of plants that needed water is given as follows:
3/8.
The fraction 3/8 of n is equivalent to an amount of 63, hence the total amount of plants is obtained as follows:
3n/8 = 63
3n = 63 x 8
n = 21 x 8(simplifying by 3).
n = 168 plants.
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Consider the steps to solve the equation.
2
5
(
1
2
y + 20 ) −
4
5
=
9
20
(2y − 1)
Distribute:
1
5
y + 8 −
4
5
=
9
10
y −
9
20
What is the next step after using the distributive property?
A. Use the multiplication property of equality to isolate the variable term on one side of the equation.
B. Use the multiplication property of equality to isolate the constant on one side of the equation.
C. Combine the like terms on the right side of the equation.
D. Combine the like terms on the left side of the equation.
Answers
Answer:
The answer is D
Step-by-step explanation:
D
A right triangle has a leg length of square root of 6 and a hypotenuse length of 7. Determine the length of the other leg of the right triangle. 3 36 square root of 39 square root of 43
Answers
Answer:
√43
Step-by-step explanation:
Implement the Pythagorean formula to solve for sides of a right triangle: a^2 + b^2 = c^2, where "a" and "b" are the legs and "c" is the hypotenuse.
a = √6 and c = 49
√6^2 + b^2 = 49
6 + b^2 = 49
b^2 = 43
b = √43
Answer:
The square root of 43
Step-by-step explanation:
I did this in class the other day
which inequality best represents the statement. reduced movie price tickets are available for the following ages (a): children 13 or under and adults 65 years or older
Answers
Answer:
13≥x U x≥65
Step-by-step explanation:
For a customer to have the reduced movie price tickets, they have to be 13 or younger, or 65 or older so I made the inequality, (X is less than or equal to 13) Union (X is greater than or equal to 65)
Answer:
13 \(\geq\) a \(\geq\) 65
Step-by-step explanation:
Let's first look at the beginning of the statement: Reduced movie tickets are available for the following ages (a): children 13 or under. In other words, we know that if you are 13, you can purchase reduced tickets, and if you are ANY age YOUNGER than (or below) 13, you are part of the age range. This tells us that a means your age is equal to 13, or it is less than 13. Because of this conclusion we have come to, we can see that we must use the less than or equal to sign, like this: a \(\leq\) 13.
Now, for the second part of the statement that communicates that those 65 and older have this ability as well! In other words, if your age is equal to 65 or it is greater than 65, you are part of the age group that qualifies for the reduced tickets. This means we can use the greater than or equal to sign: a \(\geq\) 65.
Just a little bit of work left to go, you're almost done!
Finally, we must figure out how to combine these to come to the correct answer. We have: a \(\leq\) 13 and a \(\geq\) 65. If we get a in the middle, we will be able to merge these two inequalities! It would make the most sense to keep 13 on the left side, numerically speaking, so we need to mirror everything in that inequality. this gives us: 13 \(\geq\) a, which means the EXACT same thing!!! Now, we just add the other inequality to the end of the first to get our final answer of 13 \(\geq\) a \(\geq\) 65.
If this helped you, I encourage you to leave a "thanks" in order to let others know that this is a valid answer! Thank you for your time!