Function is represented by the equation y=3x-2. and tunction Fis shown on the graph below. Which statement about both functions is true?
HURRY PLEASE
Answer:
I believe it would be both functions have a y-intercept of -2.
Step-by-step explanation:
Hope this answer is correct and helps you. :)
The true statement about the function is that both functions have a y-intercept of -2.
How to explain the functionIf both functions have a y-intercept of -2, it means that they pass through the point (0, -2). The y-intercept is the value of y when x is equal to 0.
Here are many functions that have a y-intercept of -2. Here are a few examples:
Linear function: y = 2x - 2
Quadratic function: y = x² - 2
Logarithmic function: y = log(x) - 2
In general, any function of the form y = mx + b, where m and b are constants, will have a y-intercept of b. So, as long as b = -2, the function will have a y-intercept of -2.
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Answer correctly !!!!!!!!! Will be marking Brianliest !!!!!!! URGENT URGENT HELP !!!
Answer: (-4,-5)
Step-by-step explanation:
Answer: (4, -4)
Step-by-step explanation: i said this on the other question
in a right triangle cos0=4/5. what is the exact value of cot(0)
In a right triangle with cos0 = 4/5, the exact value of cot(0) is 4/3.
In a right triangle, if cos0 = 4/5, then the exact value of cot(0) can be found using the Pythagorean Theorem and the definition of cotangent.
First, let's use the Pythagorean Theorem to find the third side of the right triangle.
If cos0 = 4/5, then the adjacent side is 4 and the hypotenuse is 5. The Pythagorean Theorem states that a^2 + b^2 = c^2, where a and b are the legs of the right triangle and c is the hypotenuse. Plugging in the known values, we get:
4² + b² = 5²
16 + b² = 25
b² = 9
b = 3
Now that we know the third side of the right triangle, we can use the definition of cotangent to find the exact value of cot(0).
Cotangent is defined as the ratio of the adjacent side to the opposite side. In this case, the adjacent side is 4 and the opposite side is 3, so:
cot(0) = 4/3
Therefore, the exact value of cot(0) is 4/3.
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Statistics is the science of conducting studies to: a) solve a system of equations b) hypothesize, experiment and form conclusions c) collect, organize, summarize, analyze and draw conclusions from data d) monitor, study and report on a subject.
Statistics is the science of conducting studies to collect, organize, summarize, analyze and draw conclusions from data.
Therefore, the correct option is: c
What is statistics?The statistics it involves using various methods to gather and analyze data to form hypotheses, experiments and draw conclusions. In order to do so, statistics uses a variety of tools and techniques to summarize and analyze data, including descriptive statistics, inferential statistics, and hypothesis testing.
Its main goal is to draw conclusions or make decisions based on data. In order to do so, statistics uses a variety of tools and techniques to summarize and analyze data, including descriptive statistics, inferential statistics, and hypothesis testing.
Additionally, statistics can also be used to monitor, study and report on a subject by looking at different options.
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For an upcoming election, 500 registered voters were surveyed on a tax increase. 43% were for a tax increase and 51% were against a tax increase. The margin of error was 6%. What is an accurate conclusion from the poll?
a. Against a tax increase will win because it is above 50%.
b. The nal result is undecided because of the margin of error.
c. The nal result is undecided because percentages do not add up to 100%.
d. Against a tax increase will win because the margin of error will increase their percentage.
Show that there is no solution for the radical equation 4w+4=-4.
Answer:
there is a solution
w= -2
Step-by-step explanation:
4w+4=-4
-4 -4
4w=-8
/4 /4
w=-2
Let's convert the following quinary numbers into decimal numbers.
1) 14
2)23
3)43
4)214
5)431
6)1423
Answer:
9
13
23
59
116
238
Step-by-step explanation:
1) 14
1 × 5^1 + 4 × 5^0 = 9
2) 23
2 × 5^1 + 3 × 5^0 = 13
3) 43
4 × 5^1 + 3 × 5^0 = 23
4) 214
2 × 5² + 1 × 5^1 + 4 × 5^0 = 59
5) 431
4 × 5² + 3 × 5^1 + 1 × 5^0 = 116
6) 1423
1 × 5³ + 4 × 5² + 2 × 5^1 + 3 × 5^0 = 238
What is the primary disadvantage of using the range to compare the variability of data sets?
Using the range to compare the variability of data sets is a rather insensitive measure of data variance is the correct answer.
In this question,
The range tells you the spread of your data from the lowest to the highest value in the distribution. The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.
Data variability also known as spread or dispersion, refers to how spread out a set of data is. Variability gives users a way to describe how much data sets vary and allows users to use statistics to compare their data to other sets of data.
Thus the disadvantage of using range is that it does not measure the spread of the majority of values in a data set, it only measures the spread between highest and lowest values.
The options are a) It is a rather insensitive measure of data variance, b) It is hard to compute, c) It is a sensitive measure of data variance, d) It does not have any variance.
Hence we can conclude that using the range to compare the variability of data sets is a rather insensitive measure of data variance.
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A can is 7 inches high and has a radius of 2 inches,
r = 2 in
h = 7 in
Enter the volume, in cubic inches, of the can. Round your answer to the nearest hundreth.
Answer:
87.92 cubic inches
Step-by-step explanation:
to find the volume of a cylinder the formula is V = \(\pi\)\(r^{2}\)h
so first i squared 2
2x2= 4
i then multiplied 4 by the height (7)
4x7 = 28
then times 28 by pi (3.14)
28x 3.14 = 87.92
The volume of cylinder is 87.92 cubic inches
volume :
volume is the amount of space in a certain 3D object.
formula used to find the volume of cylinder :
V = π × r^2 × h
as given ,
r = 2 inch
h = 7 inch
so ,
V = π × (2)^2 × 7
⇒ π × 28
V = 87.92 cubic inches
Hence , the volume of cylinder is 87.92 cubic inches .
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Madelyn needs to lease out a music studio to record her new album. The studio charges an initial studio-use fee plus an hourly fee for each hour in the studio. The fixed fee to use the studio is $250 and the total cost charged for 5 hours is $500. Write an equation for
P
,
P, in terms of
t
,
t, representing the amount of money Madelyn would have to pay to use the studio for
t
t hours.
9514 1404 393
Answer:
P = 250 +50t
Step-by-step explanation:
We are given two pairs of time and price:
(t, P) = (0, 250) and (5, 500)
We can put these into the 2-point form of the equation for a line:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
P = (500 -250)/(5 -0)(t -0) +250
P = 250/5t +250
P = 50t +250 . . . . Madelyin's cost equation
Answer:
need
Step-by-step explanation:
Derek scored a 15/25 on his math test and Meredith scored a 8/14 on her science test. Who had the best score? Explain.
Answer:
Derek
Step-by-step explanation:
15/25
8/14
find common factor:
350 is the lcm for both of them
Derek: 15/25= 210/350
Meredith: 8/14= 200/350
So, Derek got a better score
Answer:
derek
Step-by-step explanation:
if u simplify them, meredith in simplest form in decimal is .571428
and derek when you simplify his in simplest form in decimal is .6
so therefore derek has a higher or better score
plz give me brainliest
Please help me solve these answers
1. (Picture)
2. Simplify the expression
2/5•(-7)•5/2
3. Name the property of real numbers illustrated by the equation.
-2(x+11)=-2x-22
4. You start with $15 and save $8 each week.
Write an algebraic expression that can be used to show the total amount of money you have.( If you use a variable in your expression you must state what that variable represents.)
5. Solve the equation.
-5y-9=-(y-1)
(Tysm to whoever helps me I really appreciate it! <3)
The minimum volume of the tank which is required for combined lengths of the fish is equal to 15-gallon tank.
What is a slope?The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.
How to calculate the slope of a line?Mathematically, the slope of a straight line can be calculated by using this formula;
\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)
By critically observing the graph of the capacity of the tank against the combined length of the fishes present in the tank, we can logically deduce that the y-intercept is 1, the point starts from (0, 1) and then passes through points (3, 4).
Substituting the given parameters into the slope formula, we have;
Slope, m = (4 - 1)/(3 - 0)
Slope, m = 3/3
Slope, m = 1.
Mathematically, the standard form of the equation of a straight line is given by;
y = mx + c
Where:
x and y are the points.m is the slope.c is the intercept.Also, we would find the total length of all the fishes in the tank:
Total length, x = (4 × 2) + (3 × 1) + (1 × 3)
Total length, x = 14 inches.
Next, we would write an expression for the equation of line of this graph:
y = 1(x) + 1
y = x + 1.
When x = 24, we have:
y = 14 + 1
y = 15-gallon tank.
In conclusion, the minimum volume of the tank which is required for combined lengths of the fish is equal to 15 inches.
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Complete Question:
You want to set up an aquarium and need to determine what size tank to buy. The graph shows tank sizes using a rule that relates the capacity of the tank to the combined lengths of the fish it can hold.
If you want four 2-inch platys, three 1-inch guppies, and a 3-inch loach, what is the smallest capacity tank you can buy?
17-gallon tank
13-gallon tank
15-gallon tank
14-gallon tank
Can someone help me please
Answer:
its C
Step-by-step explanation:
Answer:
c. I believe
Step-by-step explanation:
because all of the other options dont go in a consistent order/pattern. C. matches the vertical side
please consider marking me as brainliest. as I explained my answer!
Please and thanks!
question 7 options: in the game of roulette, there is a wheel with spaces marked 0 through 36 and a space marked 00. find the probability of winning if you pick the number 30 and it comes up on the wheel.
The probability of winning by picking the number 30 in roulette is 1/38.
In the game of roulette, the wheel consists of 38 spaces, with numbers 0 through 36 and an additional space marked 00. When you pick a specific number, such as 30, the probability of that number coming up on the wheel can be determined by calculating the ratio of favorable outcomes to the total number of possible outcomes.
In this case, there is only one favorable outcome, which is the ball landing on the number 30. The total number of possible outcomes is 38 since there are 37 numbered spaces (0 through 36) and one additional space for 00. Therefore, the probability of winning by picking the number 30 is 1 out of 38.
To put it simply, if you were to play roulette many times, you would expect the number 30 to come up approximately once every 38 spins on average. This probability remains the same for each individual spin, as each spin of the roulette wheel is an independent event.
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This recipe makes 5 portions of fajitas.
Carly has 700 g of chicken, 800 g of peppers, 200 g of onion, 70 g of spice mix and 16 tortillas.
How much more of each ingredient will she need to make 15 portions by following this recipe?
Recipe: Serves 5
400 g chicken
600 g peppers
70 g onion
20 g spice mix
10 tortillas
PLS HELP ME I NEED IT BAD!!!!!!!!!!!!
Answer:
Chicken: 500g
Peppers: 1kg
Onions: 10g
Tortillas: 14
Step-by-step explanation:
hope this helps
A student performed the following steps to find the solution to the equation
x2 - 2x - 8 = 0. Where did the student go wrong?
Step 1. Factor the polynomial into (x-4) and (x - 2)
Step 2. X-4 = 0 and x - 2 = 0
Step 3. x = 4 and x = 2
A. The student did not make any mistakes, the solution is correct
B. in Step 2
C. in Step 1
D. in Step 3
Answer:
step 1, c
Step-by-step explanation:
he was wrong in step 1.
when factoring out (x-4) and (x-2), you have to distribute x*x, x*-2, -4*x, and -4*-2
if you do it you get x^2 - 2x -4x + 8
the correct way to factor will be (x-4)(x+2)
when you factor out you will get the original equation you started with.
Bradley Benjamin heard that the nursing staff at Sky View earns $13. 93 per hour. He is currently earning $12. 46 per hour. How much more could he earn a week at Sky View than his current job if he calculated the rate for a 40 hour week?
Bradley could earn an additional $58.80 per week at Sky View compared to his current job if he calculated the rate for a 40-hour workweek.
We have,
To calculate the difference in weekly earnings, we need to find the difference in hourly rates and then multiply it by the number of hours worked in a week.
Bradley is currently earning $12.46 per hour, and the nursing staff at Sky View earns $13.93 per hour.
The difference in hourly rates is:
$13.93 - $12.46 = $1.47
Now, we need to calculate the additional earnings per hour:
$1.47 * 40 hours = $58.80
Therefore,
Bradley could earn an additional $58.80 per week at Sky View compared to his current job if he calculated the rate for a 40-hour workweek.
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-3 - 8+ (-4) what is the answer??
Answer:
-15
Step-by-step explanation:
add 3 and 8=11, than add -4= -15
look at picture help asap pls
The length of side of BC is determined as 10.0 m.
option C.
What is the length of BC?The length of side of BC is calculated from the sum of the length of OB and OC as presented by the diagram.
Congruent triangles are triangles that have the same shape and size, but may be oriented differently or positioned differently in space. In other words, two triangles are considered congruent if their corresponding sides and angles are equal in measure. When two triangles are congruent, they are essentially identical to each other, and they can be superimposed on each other by translations, rotations, and reflections.
if triangle AOB is congruent to triangle BDC, then we can assume the following;
length of side AB = OB = OC = 5 m
BC = 5 m + 5m = 10 m
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A cylinder has a radius of 2.5meters. Its volume is 37.5\pi cubic meters. What is the height of the cylinder?
Answer: height = 1.91 m
Step-by-step explanation: Using the formula
V=πr2h
Solving for h
h=V
πr2=37.5
π·2.52≈1.90986m
Rationalize the denominators and simplify.
√2+√6 / √1.5+√0.5
The simplified expression after rationalizing the denominator is:
(2√3 + 4) / (√2 - 2√0.75 + 0.5)
To rationalize the denominator, we need to eliminate any square root terms from the denominator. We can do this by multiplying both the numerator and denominator by the conjugate of the denominator.
The conjugate of √1.5 + √0.5 is √1.5 - √0.5.
So, multiplying both the numerator and denominator by the conjugate, we get:
[(√2 + √6) / (√1.5 + √0.5)] * [(√1.5 - √0.5) / (√1.5 - √0.5)]
Expanding the numerator and denominator using the distributive property, we have:
[(√2 * √1.5) + (√2 * √0.5) + (√6 * √1.5) + (√6 * √0.5)] / [(√1.5 * √1.5) - (√1.5 * √0.5) + (√0.5 * √1.5) - (√0.5 * √0.5)]
Simplifying further, we have:
[√3 + √1 + √9 + √3] / [√2 - √0.75 - √0.75 + √0.25]
Now, let's simplify each term:
[√3 + 1 + 3√1 + √3] / [√2 - 2√0.75 + √0.25]
Combining like terms, we have:
[2√3 + 1 + 3√1] / [√2 - 2√0.75 + √0.25]
Simplifying further, we get:
[2√3 + 1 + 3] / [√2 - 2√0.75 + 0.5]
[2√3 + 4] / [√2 - 2√0.75 + 0.5]
So, the simplified expression after rationalizing the denominator is:
(2√3 + 4) / (√2 - 2√0.75 + 0.5)
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Determine the distance between (2,-3) and (-3,9)
Answer:
I hope this is right, 13 units
Step-by-step explanation:
Sorry if this is wrong
pproximately what percentage of the observations fall between 95.5 and 109.5? b. approximately what percentage of the observations are greater than 88.5? c. approximately what percentage of the observations fall between 109.5 and 116.5?
Approximately 68% of the observations fall between 18 and 22, and 95% of the observations fall between 16 and 24.
Data drawn from a bell-shaped distribution with a mean of 20 and a standard deviation of 2 can be used to calculate the percentage of observations that fall between 18 and 22, and 16 and 24. To calculate this percentage, we first need to find the z-score for each of the lower and upper boundaries.
The z-score for 18 is -1 and the z-score for 22 is 1. We can use a standard normal table to look up the area under the curve between -1 and 1, which is 0.68. Thus, 68% of the observations fall between 18 and 22. To calculate the percentage of observations between 16 and 24, we need to find the z-score for 16 and 24, which are -2 and 2 respectively.
We can look up the area under the curve between -2 and 2 in a standard normal table, which is 0.95. Thus, 95% of the observations fall between 16 and 24. To calculate the percentage of observations less than 16, we need to find the z-score of 16, which is -2. We can look up the area under the curve.
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A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (6,4). What is the vertex of the function defined as g(x) = f(x+2)?
The vertex of the function defined as g(x) = f(x+2) is (8, 4).
How to determine the vertex of the functionFrom the question, we have the following parameters that can be used in our computation:
Vertex of f(x) = (6, 4)
For the function defined as g(x) = f(x+2), we have
Vertex = (x + 2, y)
Where
x = 6 and y = 2
Substitute the known values in the above equation, so, we have the following representation
Vertex = (6 + 2, 4)
Evaluate
Vertex = (8, 4)
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Use trigonometry to determine the m
Here, we seek the angle adjacent to one of the given sides' length.
When given the hypothenuse and the adjacent lengths, we employ the SOH CAH TOA formulae.
This gives us:
\(\begin{gathered} \cos \theta=\frac{adjacent}{hypothenuse}\text{ | Notice the first letters were used for the acronym} \\ \text{Therefore, }\theta=\cos ^{-1}\frac{adjacent}{hypothenuse} \end{gathered}\)Where
adjacent = 15
Hypothenuse = 34
Employing back into the formulae, we have:
\(\begin{gathered} \theta=\cos ^{-1}(\frac{15}{34}) \\ \theta=63.82^o \end{gathered}\)The missing angle is approximately 64 degrees
using f '(x) = lim h→0 f(x + h) − f(x) h with x = 0, we have f '(0) = lim h→0 f(0 + h) − f(0) h
f'(0) is the derivative of the function f(x) evaluated at x = 0, and it provides information about the instantaneous rate of change of the function at that specific point.
In the context of calculus, the derivative measures the rate of change of a function at a specific point. By taking the limit as h approaches 0, we are considering the instantaneous rate of change or the slope of the tangent line at x = 0.
The expression f'(0) represents the value of the derivative of the function f(x) at x = 0. This value indicates how the function is changing at that particular point. The limit h→0 ensures that we are approaching the point of interest as closely as possible, allowing us to capture the exact rate of change at x = 0.
Overall, f'(0) is the derivative of the function f(x) evaluated at x = 0, and it provides information about the instantaneous rate of change of the function at that specific point.
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find the length of the missing side of the right triangle ABC. Leave your answer in simplest radical form
Answer:
Step-by-step explanation
ayo so basically this is a pythagorus theorum question
the formula is
c²= a² + b²
where c is the hypotenuse (the longest line , opposite of the right angle aka here 13ft !!)
a and b , where a is the down line as a (4ft ) and b the unknown one
(just remember and lookout for the hypotenuse!)
so now put the numbers in formula
(13)²= (4)² +(b)²
169= 16 +(b)²
169-16=(b)²
153= (b)²
(put b first )
(b)² = 153
√(b)²= √153
(the square gets cut with the square root)
b= 12.36931688
b+12.4
One year of classes at the University of Texas at Austin costs $10,700.
Georgio has received a grant that will pay $700 and a scholarship for
$5,500. He wants to get a job to pay 40% of the remainder of the costs
and borrow the rest of the money. How much does he need to earn on
his job, and how much will he need to borrow?
O
Georgio has to earn $1,600 and borrow $2,700.
Georgio has to earn $1,800 and borrow $2,700.
Georgio has to earn $1,800 and borrow $2,300.
Georgio has to earn $1,600 and borrow $2,300.
Answer:
Georgio has to earn $1,800 and borrow $2,700.
The centre of a circle is at point(0,0) and passes through (6,3). Work out the equation of the tangent to the circle at this point. Give your answer in the form y = mx + c, where m and c are integers or fractions in their simplest forms.
Answer:
\(y = -2x + 15\)
Step-by-step explanation:
center of the circle C is at (0, 0).
let P be the point (6, 3),
There is a property of a circle,
line drawn from center of a circle to a point P (x, y) is perpendicular to the tangent at P.
see the attached figure
so basically we have to find the equation of line perpendicular to the line passing through (6, 3).
slope of line CP = 1/2
therefore the slope of perpendicular line = -2 (tangent at P)
It passes through (6, 3) (the point of tangency),
using the equation,
\(y_2 - y_1 = m(x_2 - x_1)\)
\(y - 3 = -2(x - 6)\)
\(y = -2x + 15\)
Hopefully, this answer will help you!
if the first 2 cards are both spades, what is the probability that the next 3 cards are also spades? (round your answer to four decimal places.)
the probability that the next 3 cards are also spades is 0.0156.
There are 13 spades in a deck of 52 cards. The probability of each card being a spade is 13/52 or 0.25. The probability that the next 3 cards are also spades is 0.25 x 0.25 x 0.25 = 0.016. Therefore, the probability that the next 3 cards are also spades is 0.0156.
1. Calculate the probability of one card being a spade: 13/52 or 0.25
2. Calculate the probability of the next 3 cards being spades: 0.25 x 0.25 x 0.25 = 0.016
3. Round the answer to four decimal places: 0.0156
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