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2 years ago

If a line is defined by the equation y = 3x - 7, what is the y-intercept?

Mathematics

1 answer:

Kryger [21]2 years ago

3 0

-7 is the y- intercept

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If you can help me with this I would be thankful

viva [34]

When a function is compose by its inverse, the result is its original input. Therefore,

$f(f^{-1}(x))=x$

6 0

7 months ago

HELP PLEASE!

algol13

Step-by-step explanation:

5×4=20. 20×9=180

9×4=36. 36/9=4

180+4=184

answer=184

when a number is next to a letter it mean to multiply

and / means to divide

3 0

2 years ago

For the graphed exponential equation, calculate the average rate of change from x = −3 to x = 0.

iragen [17]

Answer:

$-\frac{7}{3}$

Step-by-step explanation:

To solve this, we are using the average rate of change formula:

$m=\frac{f(b)-f(a)}{b-a}$

where

$m$ is the average rate of change

$a$ is the first point

$b$ is the second point

$f(a)$ is the function evaluated at the first point

$f(b)$ is the function evaluated at the second point

We want to know the average rate of change of the function $f(x)=0.5^x-6$ form x = -3 to x = 0, so our first point is -3 and our second point is 0. In other words, $a=-3$ and $b=0$ .

Replacing values

$m=\frac{f(b)-f(a)}{b-a}$

$m=\frac{0.5^0-6-(0.5^{-3}-6)}{0-(-3)}$

$m=\frac{1-6-(8-6)}{3}$

$m=\frac{-5-(2)}{3}$

$m=\frac{-5-2}{3}$

$m=\frac{-7}{3}$

$m=-\frac{7}{3}$

We can conclude that the average rate of change of the exponential equation form x = -3 to x = 0 is $-\frac{7}{3}$

4 0

2 years ago

In the xy-plane , the graph of y=x^2 and the circle with center ( 0,1) and the radius 3 have how many points of intersection ?

Nikitich [7]

There are 2 points of intersection

5 0

3 years ago

Which value of a would make the following statement true? -3(2x + a) = -6x + 15

klemol [59]

Your answer is -5.
This is because, if you expand the single bracket, you get -6x -3a, and since the other side of the equals sign is -6x + 15, then you need to do 15 ÷ -3 = -5.

I hope this helps!

6 0

2 years ago