3 years ago

What value of x makes this equation true?

Mathematics

1 answer:

marysya [2.9K]3 years ago

6 0

24 makes the equation true

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F [ x ] = [ x - 3] [ x + 8 ]

bogdanovich [222]

Answer:

f [ x ] = [ x - 3] [ x + 8 ] = x^2 + 5x - 24

Step-by-step explanation:

f (x)=[ x - 3] [ x + 8 ]

x [ x + 8 ] -3[ x + 8 ]

x^2 + 8x - 3x - 24

x^2 + 5x - 24

8 0

3 years ago

Given the function f(x)=x^2-8x+13f(x)=x, determine the average rate of change of the function over the interval −1≤x≤6.

Ann [662]

Given:

Consider the given function is:

$f(x)=x^2-8x+13$

To find:

The average rate of change of the function over the interval $-1\leq x\leq 6$ .

Solution:

The average rate of change of the function f(x) over the interval [a,b] is:

$m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}$

We have,

$f(x)=x^2-8x+13$

At $x=-1$ ,

$f(-1)=(-1)^2-8(-1)+13$

$f(-1)=1+8+13$

$f(-1)=22$

At $x=6$ ,

$f(6)=(6)^2-8(6)+13$

$f(6)=36-48+13$

$f(6)=1$

Now, the average rate of change of the function f(x) over the interval $-1\leq x\leq 6$ is:

$m=\dfrac{f(6)-f(-1)}{6-(-1)}$

$m=\dfrac{1-22}{7}$

$m=\dfrac{-21}{7}$

$m=-3$

Therefore, the average rate of change of the function f(x) over the interval $-1\leq x\leq 6$ is -3.

6 0

3 years ago

18 is what__ % of 30.

Nostrana [21]

18/30=?/100

18 times 100 = 1800

1800 divided by 30

60%

3 0

3 years ago

You rent an apartment that costs

saul85 [17]

You need to multiply the two numbers. Or you can use long addition.

4 0

3 years ago

Read 2 more answers

MATH HELP ASAP TYSM IF YOU PUT A RANDOM ANSWER YOU WILL BE REPORTED JUST GIVE ME THE ASNWER DON"T SHOW YOUR WORK TYSM

avanturin [10]

Answer:

1,080

Step-by-step explanation:

3 0

3 years ago