Use the drop-down menus to complete the statements to match the information shown by the graph.

Answer:D

Step-by-step explanation:

The blue graph is a 4 unit horizontal shift of the red graph. The correct equation of g(x) = [tex](x-4)^{2}[/tex].

Given a function  f , a new function  g(x)=f(x−h) , where  h  is a constant, is a horizontal shift of the function  f . If  h  is positive, the graph will shift right. If  h  is negative, the graph will shift left.

Thus, since, f(x) has shifted 4 units to the right horizontally, the correct equation of g(x) = [tex](x-4)^{2}[/tex].

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Answer:

The system of equation that models the projectile of the two balls is option;

C. y = -16·x² + 12·x + 3

y = -16·x² + 9·x + 3.25

Step-by-step explanation:

The general equation for vertical (upward) motion under gravity is presented as follows;

h - h₀ = u·t + 1/2·g·t²

Where;

h = The final height reached

h₀ = The initial height

u = The initial velocity

g = The acceleration due to gravity ≈ -32 feet/second

t = The time taken

We can rewrite the above equation with different letters for the variables as follows;

h = y,

h₀ = y₀, and

t = x

Therefore, we have;

y - y₀ = u·x - 1/2 × 32 × x²

y = u·x - 1/2 × 32 × x² + y₀ = u·x - 16· x² + y₀

y = u·x - 16· x² + y₀ = -16·x² + u·x + y₀

y = -16·x² + u·x + y₀

For Tara, we have;

u = 12 feet/second

y₀ = 3 feet

Therefore, we get;

y = -16·x² + 12·x + 3

For Mallory, we have;

u = 9 feet/second

y₀ = 3.25 feet

Therefore, we get;

y = -16·x² + 9·x + 3.25

The correct option is therefore;

y = -16·x² + 12·x + 3

y = -16·x² + 9·x + 3.25

Answer:

5.25/5 i think

Step-by-step explanation:

3/5 = 8/10 and 1/4 = 2.5/10

So if I do 8/10 + 2.5 / 10.

My reply is 10.5/10

And if I reduce as max, my reply is: 5.25 / 5

Answer:

18.2%

Step-by-step explanation:

For decimals, just move the point two times to the right.

Answer:

18.2

Step-by-step explanation:

0.182 x 100 = 18.2

Answer:

x = 8

Step-by-step explanation:

Answer:

sorry bro I would but that link is super long

Step-by-step explanation:

thats what she said

Answer:

It is A. 2^x

Step-by-step explanation:

For relative rates of growth, we know: Log < Poly < Exponential.

This rules out B, C, and D quickly. Although, if you do L'Hôpital's rule, it might seem like A & D are very comparable. However, if you continually took the derivative of 2^x and x^20, eventually x^20 would equal zero, while 2^x would still be a variable. So, you would have:

[tex]\lim_{x \to \infty} \frac{2^{x}}{0} =[/tex] ∞

When the limit of x as it approaches infinity is infinity, then f(x) grows at a faster rate than g(x).

Also, by looking at the graph (which is attached), you can see that 2^x grows faster than x^20.

Answer:

Total calories in 8 cup = 928 calories

Step-by-step explanation:

Given:

Calories in 3/4 cup of cereal = 87 calories

Find:

Total calories in 8 cup

Computation:

Total calories in 8 cup = 8 x 87 x [4/3]

Total calories in 8 cup = 928 calories

Answer:

the company's cost would be 2.000.000 €/$

Step-by-step explanation:

(500.000+5x0)x4 months= 2.000.000

Answerz=16

Step-by-step explanation:

Answer:

the 15 multi pack

Step-by-step explanation:

Answer:

Step-by-step explanation:

The constant of proportionality is y/x=k. In this case it is 30/5=48/8...6 k=6

The equation is

y=6x where y=number of wheels and x=number of buses

Answer:

{(3,1),(2,4),(6,8)}

Step-by-step explanation:

Since for inverse of (x,y), it's(y,x)

i.e. the forst term and second term of order pair switch their places

Answer:

yeah

Step-by-step explanation:

Answer:

√0.0007​ = 0.02646

Step-by-step explanation:

We know that:

√7 = 2.646

We want to find the value of:

√0.0007

Also we know the relations:

[tex]\frac{\sqrt{x} }{\sqrt{y} } = \sqrt{\frac{x}{y} }[/tex]

Then:

[tex]\sqrt{0.0007} = \sqrt{\frac{7}{10,000} }[/tex]

We can rewrite this as:

[tex]\sqrt{\frac{7}{10,000} } = \frac{\sqrt{7} }{\sqrt{10,000} } = \frac{2.646}{100} = 0.02646[/tex]

Answer: A quotient is the the number resulting from the division of one number by another.

Step-by-step explanation:

24/4 the quotient (answer) is 6

Answer:

3m/s

Step-by-step explanation:

F=ma

F=(9)(7)

F=63

F=ma

63=21a

a=3

Answer:

60 miles per hour southeast.

Step-by-step explanation:

We are told that the car is moving southeasternly, so that answers the question right off the bat. The car is moving 120 miles per 2 hours. We need to know how much it moves in one hour though, so we must divide hours and miles by 2. We ger 60 miles per hour.

Velocity will be 60 mph southeast.

The distance that an item travels in a unit of time is referred to as its speed. It merely takes into account the size of the item and ignores its orientation. Speed is referred to as a scalar quantity in this way. When referring to velocity, however, it is said that velocity is the rate at which displacement changes. A vector quantity, that is.

Given distance traveled by car is 120 miles in 2 hours. Since speed is distance divided by time.

Speed = 60 mph

Also, there is a given direction which is southeast.

Therefore, the velocity of the car will be 60 mph southeast.

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Answer:

3.5 or 3 1/2

Step-by-step explanation:

1,800-1,450=350

She has 350 calories left to consume 1,800 in total.

There are 3.5 100 calories in 300.

The awnser will be 3.5 or 3 1/2.

She can have 3 1/2 of ice cream.

Hope this helped and you understood :) :)

Answer:

3.5[3 1/2]

Step-by-step explanation:

100 go's into 1450 3 times to make 1750 witch leaves 50 left and that is half of 100

The total measure of all the angles in a triangle is 180°.

Since there is already a 90° angle, the other 2 angles must also add up to 90°.

The only answer that fits is x = 9.

Check:

9x7 = 63°

3x9 = 27°

Add up = 90°

:)

C (x=18)

is your answer

Answer:

I am not sure

Step-by-step explanation:

Sorry

The invested amount will be k 521.56 after 4 years 8 months if Mr. Kabi invests k375 at a simple interest rate of 8.375 per annum.

It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.

It is given that:

Mr Kabi invest k375 at a simple interest rate of 8.375 per annum

The invested amount = k 375

Rate of interest = 8.375 per anum

Rate of interest = 8.375/12 per month

Rate of interest = 0.6979 per month

Number of months = 4x12 + 8 = 56

As we know, the formula for the simple interest is given by:

A = P(1 + rt)

A = 375(1 + 0.6979×56)

A = k 521.56

Thus, the invested amount will be k 521.56 after 4 years and 8 months if Mr. Kabi invests k375 at a simple interest rate of 8.375 per annum.

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Answer:

Step-by-step explanation:

If 60% failed then 40% passed

.4n=500

n=1250 so there are 1250 candidates of which

.6(1250)=750 failed

So 750 candidates failed.

Answer:

288

Step-by-step explanation:

Hope it helps :>

Answer:

288

Step-by-step explanation:

Answer:

y = 3x + 5

Step-by-step explanation:

slope:

11 - (-1) / 2 - (-2) = 12/4 = 3

slope intercept form is y = mx + b, so right now you have m = 3:

y = 3x + b

now, since you know x = -2 and y =-1 is a solution, you can plug those values in:

-1 = 3 * -2 + b

-1 = -6 + b

5 = b

This means the equation is y = 3x + 5

If you are trying to find how deep the turtle is now, the answer would be 19 meters. 12 + 7 = 19.

Hope this helps. Have a nice day.

Answer:

0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normal distribution with a mean of 7.2 minutes and a standard deviation of 2.1 minutes.

This means that [tex]\mu = 7.2, \sigma = 2.1[/tex]

Probability that the response time is between 3 and 9 minutes.

This is the pvalue of Z when X = 9 subtracted by the pvalue of Z when X = 3. So

X = 9

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{9 - 7.2}{2.1}[/tex]

[tex]Z = 0.86[/tex]

[tex]Z = 0.86[/tex] has a pvalue of 0.8051

X = 3

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3 - 7.2}{2.1}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

0.8051 - 0.0228 = 0.7823

0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.

The answer is (2x+6)(3x-1)

Answer:

13

Step-by-step explanation:

You must use PEMDAS to solve this equation.

Solve everything in the parentheses first;

4(6) = 24

24 + 2 = 26

26 / 2 = 13

Final answer = 13

Answer:

C. (6 × 5) × 2 = 60 m³

D. 5 × (6 × 2)

E. (2 × 5) × 6

Step-by-step explanation:

Volume of a rectangular prism can be given as, V = L*W*H

L = 6

W = 5

H = 2

However, whichever way we choose to use as either L, W, or H, we would still get the same value as the volume.

Thus:

✔️V = (6 × 5) × 2 = 60 m³

✔️V = 5 × (6 × 2) = 60 m³

✔️V = (2 × 5) × 6 = 60 m³

These are the three expressions that can be used to find the volume.