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Elden [556K]
3 years ago
9

For what values of x is the inequality 15>_5x true?

Mathematics
1 answer:
ruslelena [56]3 years ago
7 0

Answer:

-3 < x

Step-by-step explanation:

15 > -5x

Divide each side by -5, remembering to flip the inequality since we are dividing by a negative

15/-5 < -5x/-5

-3 < x

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What is the average rate of change of the function over the interval x = 0 to x = 8?<br>​
serious [3.7K]

Answer:

The average rate of change is:

\frac{13}{161}

Step-by-step explanation:

The rational function given to us is;

f(x)=\frac{3x+4}{2x+7}

f(0)=\frac{3(0)+4}{2(0)+7}

f(0)=\frac{4}{7}

f(8)=\frac{3(8)+4}{2(8)+7}

f(0)=\frac{28}{23}=1

The average rate of change of this function from x=0 to x=8  is the slope of the secant line connecting:

(0,f(0)) and (8,f(8))

Average rate of change ==\frac{f(8)-f(0)}{8-0}

=\frac{\frac{28}{23}-\frac{4}{7} }{8}

=\frac{13}{161}

7 0
3 years ago
10. <br>V=720 cm<br>L=?<br>P=15 cm<br>T=8 cm<br>A. 6 cm<br>B. 8 cm<br>C.10 cm<br>D. 12 cm​
grin007 [14]

Answer:

6 cm

Step-by-step explanation:

Given the information :

V=720 cm

L=?

P=15 cm

T=8 cm

The volume = L * P * T

V = L * P * T

720 = L * 15 * 8

720 = L * 120

L = 720 / 120

L = 6 cm

5 0
3 years ago
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