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lidiya [134]
4 years ago
15

Write an equation in point-slope form for the given point and slope: (-3, 6) and slope 8

Mathematics
1 answer:
3241004551 [841]4 years ago
7 0

y-y0=m(x-x0)

y+6=8(x-3)

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Baby born 7 lbs by 10 he was 84 lbs. Write a formula for his weight as a linear function.
Yakvenalex [24]

The formula for weight in linear function is y= 7.7x + 7

<u>Step-by-step explanation:</u>

Given that,

  • The weight of the born baby = 7 lbs
  • The weight of the baby at 10 years = 84 lbs.

To find the linear function, the rate of change of weight must be calculated.

<u>To find the rate of change of the baby's weight:</u>

The change in the weight is from 7 lbs to 84 lbs.

  • The total change = 84 - 7 =77
  • The rate of change = 77 / 10 years = 7.7

Therefore, the rate of change of weight of the baby is 7.7 lbs.

This means that, every year the weight has been increased by 7.7 lbs and in 10 years the baby gained a weight of 84 lbs.

<u>From this information, the linear function is given as :</u>

Total weight = 7.7(number of years) + born weight.

⇒ y= 7.7x + 7

where,

  • The born weight is 7 lbs.
  • y is the total weight of the baby
  • x is the number of years

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Answer question for 15 points
Tamiku [17]
A translation down to the left since it’s negative
7 0
3 years ago
Which point represents the largest club that meets in the smallest space?
andriy [413]

Answer:

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Step-by-step explanation:

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If y varies directly as x, find the direct variation equation for the situation
Phantasy [73]

Answer:

y = x / 7

Step-by-step explanation:

For us to get direct variation equation, we must introduce a constant term.

If y varies directly as x:

y ~ x

y = Kx

Where K, is the introduced constant.

Now let's solve to get a direct variation equation.

When y=3 , x=21

We substitute, y=3 and x=21 in the

y = Kx

3 = K 21

Divide both sides by 21

3 / 21 = K 21/ 21

K = 3/21

K = 1 / 7

Therefore, we introduce K = 1 / 7 into the mother equation.

y = 1/7 * x

y = x / 7

The direct variation equation for the situation:

y = x / 7

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A box has a square base with each side measuring 8 inches. The height of the box is 4 inches. What is the surface area of the bo
podryga [215]

Answer:

C. 256

Step-by-step explanation:

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