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White raven [17]

2 years ago

10

Which of the following functions best fits the data shown in the scatterplot below? y=100x+2y is equal to 100 x plus 2 y=20x2+10

y is equal to 20 x squared plus 10 y=4x+8y is equal to 4 to the x th power plus 8 y=2x+5y is equal to 2 to the x th power plus 5

1 answer:

KengaRu [80]2 years ago

4 0

The equation of the scatter plot is (a) y = 100x + 2

<h3>How to determine the equation of the scatterplot?</h3>

The line of best fit of the scatter plot passes through the points

(x,y) = (0,2) and (1,102)

Start by calculating the slope using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m = \frac{102 - 2}{1 - 0}$

m = 100

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 100(x -0) + 2

Evaluate

y = 100x + 2

Hence, the equation of the scatter plot is (a) y = 100x + 2

Read more about scatter plot at:

brainly.com/question/6592115

#SPJ1

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Which statement about the figure MUST be true? Select all that apply.

olga55 [171]

<h2>○=> <u>Correct options</u> :</h2><h2>□ $\color{plum}\tt\bold{(C) \: SR = 27}$ </h2><h2>□ $\color{plum}\tt\bold{(D) \: QR = 54 }$ </h2><h3><u>Steps to derive the correct options</u> :</h3>

Since two sides and one included angle is equal in △PQS and △PRS, we can conclude that they are congruent under the SAS congruence criterion.

Which means :

▪︎Angle S = Angle S

▪︎PS = PS

▪︎QS = RS

Given :

Measure of segment QS = 6n+3

Measure of segment RS = 4n+11

Thus :

$= \tt6n + 3 = 4n + 11$

$= \tt6n + 3 - 4n = 11$

$=\tt 2n + 3 = 11$

$= \tt2n = 11 - 3$

$= \tt2n = 8$

$=\tt n = \frac{8}{2}$

$\hookrightarrow\color{plum}\tt n = 4$

Thus, the value of n = 4

Measure of segment QS :

$=\tt 6n + 3$

$= \tt6 \times 4 + 3$

$= \tt24 + 3$

$\color{plum}\tt \: \bold{QS = 6n + 3 = \tt\bold{27}}$

Thus, measure of QS = 27

Measure of RS :

$=\tt 4n + 11$

$=\tt 4 × 4 + 11$

$=\tt 16+11$

$\color{plum}\tt \: \bold{RS = 4n + 11 = \tt\bold{27}}$

Measure of QR :

$=\tt 27+27$

$\color{plum}\tt \: \bold{QR = 27+27 \tt\bold{=54}}$

Thus :

▪︎QS = 27

▪︎RS = 27

▪︎QR = 54

Therefore, the correct options are :

▪︎(C) SR = 27

▪︎(D) QR = 54

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