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3 years ago

5x + 15 = 2x +3 x = what

1 answer:

5 0

$5x + 15 = 2x + 3 \\ 5x + 15 + 3 = 2x \\ 5x + 18 = 2x \\ 18 = 2x - 5x \\ - 3x = 18 \\ x = \frac{18}{ - 3} \\ \\ x = - 6$

Hope this will help...

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If a:b=2:3 b:c=4:5 and c:d=6:7 find a:d

Studentka2010 [4]

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7 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:

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

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

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

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

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3 years ago

What is the scientific notation of 8.77?

DedPeter [7]

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3 years ago

Read 2 more answers

you have a large container of olive oil. You have used 22 1/2 quarts of oil. Twenty- five percent of the oil remain. How many qu

Alex Ar [27]

Answer:

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Explanation:

Let

q = quarts of olive oil remain

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2212 quarts = 22.5 quarts used

22.5.75=q.25

Multiply both sides by .25 to isolate q.

22.5.75(.25)=q.25(.25)

5.625.75=q

7.5=q

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