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Ugo [173]
3 years ago
13

3. What is the equation of a line parallel to y = 7x – 8 that passes through (5,-2)?

Mathematics
1 answer:
Afina-wow [57]3 years ago
6 0

Answer:

y = 7x - 37

Step-by-step explanation:

A line parallel to y = 7x - 8 will have the same slope:  7.

Thus,

Take x to be 5, y to be -2, m to be 7, and insert these values into

y = mx + b:

-2 = 7(5) + b, so that b = -37.

Then the desired equation is

y = 7x - 37.

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X= 43

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Step-by-step explanation:

3x + 8 + X = 180

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Step-by-step explanation:

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When using the power rule, the original coefficient:__________a) Is multiplied by the original exponent.b) Only changes if the f
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Answer:

a) Is multiplied by the original exponent.

Step-by-step explanation:

the power rule works like this:

you want to find the derivative of ax ⁿ

where n is the exponent and a is the coefficient

the derivative would equal (n ⋅ a)xⁿ⁻¹

e.g. you want to find the derivatives of 5x⁴

f'(x) = (4 ⋅ 5)x⁴⁻¹ = 20x³

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Answer:

70 > 55 + t

Step-by-step explanation:

Given

Previous\ Time = 1\ hr\ 10\ mins

Current\ Time = 55\ mins

Required

Represent the additional time needed as an inequality

Convert the previous time to minutes

Previous\ Time = 1\ hr\ 10\ mins

Previous\ Time = 1 * 60\ mins + 10\ mins

Previous\ Time = 60\ mins + 10\ mins

Previous\ Time = 70\ mins

Let the additional time be t

<em>This means that she needs to run at least t minutes to beat her previous record</em>

<em />

To beat her previous record, the sum of current time and x must be less than her previous time. i.e.

55 + t < 70

This can be rewritten as:

70 > 55 + t

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