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3 years ago

Which of the following shows the solution set of the inequality x − 7 ≤ -5?

Mathematics

2 answers:

marusya05 [52]3 years ago

7 0

Answer:

the answer is x ≤ 2

Step-by-step explanation:

very easy

KATRIN_1 [288]3 years ago

7 0

Answer: x≤2

Step-by-step explanation: move the '-7' to the right of the '≤' sign, then the converted number will change sign. The '-7' on the left is negative, when moved to the right it becomes positive. then we will have:

x-7≤-5

<=>x≤-5+7

<=>x≤2

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The average rate of change for the function f(x) can be calculated from the following equation
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∴ The average rate of f = $\frac{f(2 \pi)-f( \frac{3 \pi}{2} )}{2 \pi - \frac{3 \pi}{2} } = \frac{0-(-2)}{ \frac{\pi}{2} }= \frac{2}{ \frac{\pi}{2} } = \frac{4}{\pi}$

(2) the second function g(x)
from the graph g(3π/2) = -2   and   g(2π) = 0
∴ The average rate of g = $\frac{g(2 \pi)-g( \frac{3 \pi}{2} )}{2 
\pi - \frac{3 \pi}{2} } = \frac{0-(-2)}{ \frac{\pi}{2} }= \frac{2}{ 
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(3) the third function h(x) = 6 sin x +1
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\pi - \frac{3 \pi}{2} } = \frac{1-(-5)}{ \frac{\pi}{2} }= \frac{6}{ 
\frac{\pi}{2} } = \frac{12}{\pi}$

By comparing the results, The <span>function which has the greatest rate of change is h(x)
</span>

So, the correct answer is option <span>C) h(x)</span>

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