A scatterplot is produced to compare the number of hours that students study to their test scores. There are 25 data points, each representing a different student. The scatterplot shows a grouping of points rising from left to right. Which statement could be true?

The question is incomplete, the complete question is;

A scatterplot is produced to compare the number of hours that students study to their test scores. There are 25 data points, each representing a different student. The scatterplot shows a grouping of points rising from left to right. Which statement could be true?

a. There is no relationship between the number of hours that students study and their test scores because the scatterplot does not have a cluster.

b. As the number of hours of studying increases, test scores decrease because the scatterplot has a cluster that increases from left to right.

c. As the number of hours of studying increases, test scores increase because the scatterplot has a cluster that increases from left to right.

d. The number of hours that students study is equal to the test scores because the scatterplot does not show a cluster.

c. As the number of hours of studying increases, test scores increase because the scatterplot has a cluster that increases from left to right.

Step-by-step explanation:

Though we can't see the scatter plot but it makes sense from option c that as the number of hours of studying increases, test scores increase.

That option even stated that the cluster of points increases from left to right. If the scatterplot has a cluster that increases from left to right, then it follows that the test scores actually increases positively with the number of study hours.

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0