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2 years ago

5

Which statement is true regarding the graphed functions?

1 answer:

harina [27]2 years ago

6 0

<h3>Answer: Choice A. f(0) = g(0)</h3>

This is because the red and blue lines cross at (0,-2). We don't really need to worry about the y coordinate here. For this problem, all we care about is the x coordinate, which is x = 0.

When x = 0, the outputs of each function f(x) and g(x) are both the same value. So that's why we can say f(0) = g(0). It's the same as saying f(x) = g(x) has the solution x = 0.

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What is the equation of the line in the following graph? 1)y=x+2

Levart [38]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (2, 0) and (-2, -4). Substitute:

$m=\dfrac{-4-0}{-2-2}=\dfrac{-4}{-4}=1$

Therefore we have the equation of a line

$y=1x+b\to y=x+b$

Put the coordinates of the point (2, 0) to the equation:

$0=2+b$ <em>subtract 2 from both sides</em>

$-2=b\to b=-2$

Answer: $\boxed{y=x-2}\to\boxed{3)}$

8 0

3 years ago

A scientist is interested in the effect of time spent with parents and number of hours

gladu [14]

Answer: If X = 5, z=<u>-3</u>

If X = 37, z= <u>3.4</u>

Step-by-step explanation:

We know that the formula to find the z-score for any random variable x is given by :-

$z=\dfrac{x-\mu}{\sigma}$

, where $\mu$ = Population mean

$\sigma$ = Population standard deviation.

As per given , we have

$\mu=20\\\\\sigma=5$

Then , the z-score for x =5

$z=\dfrac{5-20}{5}=\dfrac{-15}{5}=-3$

i.e. If X = 5, z=<u>-3</u>

When x =37,then $z=\dfrac{37-20}{5}=\dfrac{17}{5}=3.4$

i.e. If X = 37, z= <u>3.4</u>

7 0

2 years ago

Find the unit rate.Round to the nearest hundredth,if necessary. 370 for 12 ft2. The unit rate is $ _______/ft2 I NEED HELP!!!

satela [25.4K]

Answer:

30.80

Step-by-step explanation:

$370/12ft^2

hope this is helpful ! stay safe, God Bless you and your family...!

6 0

3 years ago

An item that originally cost $12 is marked down 30%. What is the price of the item after the markdown? Show work please

Anettt [7]

First we have to determine 30% of 12.

(30×12)÷100=3.6 so 3.6 is 30% of 12.

12 - 3.6= 8.4

Your answer is 8.4

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3 years ago

Deja wants to put as much as she can into a retirement account as soon as she starts working. She deposits $10,000 at then end o

sdas [7]

The answer is $56,370.93.

5 0

3 years ago