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3 years ago

What is the solution of 3(2x - 1) - 2(3x + 4) = 11x?

Mathematics

2 answers:

Eduardwww [97]3 years ago

6 0

3(2x - 1) - 2(3x + 4) = 11x

Distribute 3 inside the parentheses.

6x - 3 - 2(3x + 4) = 11x

Distribute 2 inside the parentheses.

6x - 3 - 6x - 8 = 11x

Combine like terms.

-11 = 11x

Divide both sides by 11.

borishaifa [10]3 years ago

3 0

3 ( 2x - 1 ) - 2( 3x + 4 ) = 11 x

By Solving We get ,

6x - 3 - 6x - 8 = 11x

-11x = 11

Therefore x = -1

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Step-by-step explanation:

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3 years ago

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3 years ago

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a

kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented $h(t)=-16t^2+20t$ .

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We will use average rate of change formula to solve our given problem.

$\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}$

$\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}$

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$\text{Average rate of change}=\frac{2\cdot 6}{1}$

$\text{Average rate of change}=12$

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