3 years ago

A line includes the points (13,15) and (6,15). What is its equation in slope-intercept form?

Mathematics

1 answer:

Andrew [12]3 years ago

6 0

Answer:

y=15

Step-by-step explanation:

y=mx+b

slope(y2-y1)/(x2-x1)

(15-15)/(6-13)

0/-7=0

y-intercept 15=0(15)+b

b=15

y=15

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Read 2 more answers

The population of a town is 6500 and is increasing at a rate of 4% each year. Create a function for this scenario. At this rate,

Stella [2.4K]

Answer:

$P_4 = 7604.08$

Step-by-step explanation:

If the population increases at a rate of 4% per annum, then:

In year 1:

$P_1 = P_0 + 0.04P_0$

Where $P_0$ is the initial population and $P_n$ is the population in year n

In year 2

$P_2 = P_1 + 0.04P_1$

It can also be written as:

$P_2 = P_0 + 0.04P_0 + 0.04 (P_0 + 0.04P_0)$

Taking out common factor $P_0$

$P_2 = (1 + 0.04) (P_0) + 0.04P_0 (1 + 0.04)$

Taking out common factor (1 + 0.04)

$P_2 = (1 + 0.04) (P_0 + 0.04P_0)$

Taking out again common factor $P_0$

$P_2 = (1 + 0.04) (1 + 0.04) P_0$

Simplifying

$P_2 = P_0 (1 + 0.04) ^ 2$

$P_n = P_0 (1 + 0.04) ^ n$

This is the equation that represents the population for year n

Then, in 4 years, the population will be:

$P_4 = P_0 (1 + 0.04) ^ 4\\P_4 = 6500(1 + 0.04) ^ 4\\P_4 = 7604.08$

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3 years ago

A mechanic charges $35 to perform an inspection on a car, and $55 per hour for a repair. Which equation gives the total cost, ,

pychu [463]

Answer:

Total cost = charge fee + 55× no. of hours

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Total cost = 35 + (55×h)

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2 years ago

A line includes the points (13,15) and (6,15). What is its equation in slope-intercept form?​

A line includes the points (13,15) and (6,15). What is its equation in slope-intercept form?