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3 years ago

Find the output of each function using the input 7 F(x)=5+| 3-x |

Mathematics

1 answer:

Flauer [41]3 years ago

8 0

The input is 7, so replace x in the equation with 7:

5 + |3-7|

Simplify:

5 +|-4|

The vertical bars mean absolute value, which means if the number is a negative value it becomes a positive value:

5 + 4

Output = 9

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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

3 years ago

The polynomial below is a perfect square trinomial of the form A^2-2AB+B^2. 9x^2-36x+16

maxonik [38]

Answer:

False

Step-by-step explanation:

8 0

3 years ago

2. Wpisz taką liczbę, aby rozwiązaniem równania była liczba 2.

lys-0071 [83]

I didn’t understand but when I understand I will help you

5 0

3 years ago

If x=2 and y=3 what is 7x+y+16

Vinvika [58]

Answer: 33

Step-by-step explanation:

Input the numbers into the variables.
7(2) + 3 + 16

14 + 3 + 16

17 + 16

3 0

2 years ago

The actual length (L) of a rectangle is 27 centimeters. Use the scale drawing of the rectangle to find the actual width (W).

Dominik [7]

The ratio of the length to the width is $\rm \dfrac{L}{W}$ .
The ratio of the sides will be the same for the scale and actual figures.

$\rm \dfrac{2.4}{3.6}=\dfrac{27}{W}$

I took the L/W of the scale figure
and set it equal to the L/W of the actual figure.

Now we can solve for the unknown width.
Cross-multiplication gives us this,

$\rm 2.4W=3.6\cdot27$

Divide by 2.4 and simplify,

$\rm W=40.5$

Hope that helps! :)

7 0

4 years ago

Read 2 more answers