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kodGreya [7K]
3 years ago
14

Question 101 points)

Mathematics
1 answer:
maw [93]3 years ago
4 0

Answer:

\large\boxed{y=-\dfrac{2}{3}x+\dfrac{13}{3}}

Step-by-step explanation:

\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\===============================

\text{We have the point:}\\\\(5,\ 1)\ \text{and}\ (-4,\ 7).\ \text{Substitute:}\\\\m=\dfrac{7-1}{-4-5}=\dfrac{6}{-9}=-\dfrac{6:3}{9:3}=-\dfrac{2}{3}\\\\\text{We have the equation in form:}\\\\y=-\dfrac{2}{3}x+b\\\\\text{Put the coordinates of the point (5, 1) to the equation:}\\\\1=-\dfrac{2}{3}(5)+b\\\\1=-\dfrac{10}{3}+b\qquad\text{add}\ \dfrac{10}{3}\ \text{to the both sides}\\\\\dfrac{3}{3}+\dfrac{10}{3}=b\to b=\dfrac{13}{3}\\\\\text{Finally:}\\\\y=-\dfrac{2}{3}x+\dfrac{13}{3}

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, list the first five terms of each sequence, and identify them as arithmetic or geometric.
Serhud [2]

Answer:

The first 5 terms are -6,-25,-44,-63 and -82

The sequence is arithmetic

Step-by-step explanation:

Given that A(n + 1) = A(n) − 19 for n ≥ 1 and A(1) = −6

A(1) = -6

A(2) = A(1) − 19 = -6 - 19 = -25

A(3) = A(2) − 19 = -25 - 19 = -44

A(4) = A(3) − 19 = -44 - 19 = -63

A(5) = A(4) − 19 = -63 - 19 = -82

So the first 5 terms are -6,-25,-44,-63 and -82

If they are in arithmetic the common difference will be same, if geometric common ratio will be same.

Let us check common difference,

                       -25-(-6) = -19

                       -44-(-25) = -19

                       -63-(-44) = -19

                       -82-(-63) = -19

So common difference is same, so the sequence is arithmetic.

3 0
3 years ago
What is the range of data in this box plot? what is the median?
jeka57 [31]
Hello!

The range is the lowest number subtracted from the highest number

The lowest number is 1
The highest number is 9

9 - 1 = 8

The range is 8
------------------------------------------------------------------------------------------------------
To find the median you look at the line that separates the box plot into two sections

The median is 4

Hope this helps!
8 0
3 years ago
Read 2 more answers
Where do planes ABC and BFG intersect?
Setler79 [48]

Answer:

Letter B

Step-by-step explanation:

8 0
2 years ago
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What is the answer to the equation 3(x+4.5)=36?
kozerog [31]

Answer:

x = 7.5

Step-by-step explanation:

3(x + 4.5) = 36

3x + 13.5 = 36

3x = 36 - 13.5

3x = 22.5

x =  \frac{22.5}{3}

x = 7.5

#IfWrongPleaseReport

#StudyTogetherWithMe

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8 0
3 years ago
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Which statement is best supported by the dot plot? Choose ONE and explain your
natima [27]

Answer:

The first statement.

Step-by-step explanation:

Because when you look at the July graph you can see that the highest number of miles is 15 and the lowest number of miles is 1 so the range is 15 - 1 = 14.

When you look at the August graph you can see that the highest number of miles is 13 and the lowest number of miles is 5 so the range is 13 - 5 = 8

So the range of the July month is greater than the range of the August month

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2 years ago
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