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3 years ago

Write an expression that is equivalent to 5(3x plus 2z)

Mathematics

1 answer:

avanturin [10]3 years ago

4 0

15x +10z because if you use the distributive property of multiplication,
5 x 3x = 15x and 5 x 2z = 10z

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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 $h(t)=-16t^2+20t$ .

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?

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

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

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

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

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

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

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

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

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

Therefore, Spot's average rate of ascent is 12 feet per second.

3 0

2 years ago

7/5 + 4/20<br><br> Answers should be in format example: 5/2 or 2/5. No decimals or mixed numbers.

kipiarov [429]

Answer: 32/20 or 8/5

Step-by-step explanation: Turn 7/5 into 28/20. Do 28/20 plus 4/20. That equals 32/20 or 8/5.

7 0

2 years ago

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At the time she had $237 ,the cost of a lesson rose to &19.how many lesson can she pay for with remaining &237

ad-work [718]

12.5, just divide 237 by 19

8 0

2 years ago

What is 4(2×-7)+3(3×-1)=3(2-×)

Mama L [17]

Answer:

x=37/20

Step-by-step explanation:

4(2x-7)+3(3x-1)=3(2-x)

8x-28+9x-3=6-3x

17x+3x=6+31

20x=37

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2 years ago

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yuradex [85]

40+35 is the answer of the Ixl question

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2 years ago

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