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astraxan [27]
3 years ago
9

Plz help with slope question

Mathematics
2 answers:
Serjik [45]3 years ago
8 0

Answer:

D. y = -3x - 4

Step-by-step explanation:

<u>→You can figure this out by using the point-slope form:</u>

y-y_1=m(x-x_1)

y+4=-3(x-0)

<u>→Distribute the -3 to (x - 0):</u>

y + 4 = -3x

<u>→Subtract 4 from both sides:</u>

y = -3x - 4

nasty-shy [4]3 years ago
7 0

Answer:

The equation in slope-intercept form:

y = -3x - 4

Step-by-step explanation:

Use the point-slope formula:

y-y_{1} = m (x-x_{1})

Use the given slope -3 and point (0,-4) for the formula:

y + 4= -3 (x-0)

-Then, you solve the formula:

y + 4 = -3 (x-0)

y+4 - 4 = -3 (x-0) -4

y = -3x - 4

The equation, which is in slope-intercept form:

y = -3x - 4

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Answer:

62.8

Step-by-step explanation:

The volume of the cylinder is = base * height

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A population of insects, in thousands, can be molded using the function (t)= 1.75(0.97)x
Dominik [7]

Question:

A population of insects, in thousands, can be modeled using the function

p(t) = 1.75(0.97)^t, where t is time in months. Which statement best

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A. The population is decaying at a rate of 3% each month.

B. The population is decaying at a rate of 25% each month.

C. The population is growing at a rate of 75% each month.

D. The population is growing at a rate of 97% each month.

Answer:

A. The population is decaying at a rate of 3% each month.

Step-by-step explanation:

Given

p(t) = 1.75(0.97)^t

Required

True statement about the function

From the options, we can see that we are to answer the question on the basis of decay and growing rates.

An exponential form is:

y=ab^x

Compare to p(t) = 1.75(0.97)^t

b= 0.97\\

If b > 1, then b = 1 + r r represents growth rate

else, b= 1-r r represents decay rate

Since b < 0.97:

0.97= 1-r

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r = 0.03

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Answer:

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