Pls help answering a b and c

Mathematics

1 answer:

Anastasy [175]3 years ago

7 0

Answer:

a) The very first one where the line starts to the left

b) m=125.82

c) 320.81 thousand dollars

Step-by-step explanation:

a) The point on the graph who corresponds to x=3 years and Salary=$200,000 is the very first one where the line starts to the left

b) If a line is given by Y=mx+b, m represents the slope of the line. In this case, m=125.82 which can be interpreted as the rate of growth of the salary per year in thousands of dollars. A doctor can expect to earn 125.82 thousand dollars more than the previous year.

c) If we use the given regression line Y=125.82x-182.47 and make x=4, we get

y=125.82 (4)-182.47 =320.81 thousand dollars

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To find the expression that is equivalent to
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we must first expand
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So let's get started.

${(a + b)}^{3} = (a + b) {(a + b)}^{2}$

We expand the parenthesis on the right hand side to get,

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We expand again to obtain,

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Let us group the cubed terms on the right hand side to get,

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2}b + 3a {b}^{2}$

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab (a+ b)$

We make the cubed terms the subject,

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We factor to get,

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We expand the bracket on the left hand side to get,

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