Number of Social Media Posts vs. GPA
4.0
3.5
3.0
G
P
2.5
А
2.0
1.5
1.0
0
50
100
150
200
250
300
350
400
Social Media Posts
Brent is trying to figure out the relationship between the number of times his friends post on social media and their grade point
averages. He records the collected data on a scatter plot. Which of the linear functions best models the line of best fit? What does the
slope in the equation represent?
A)
y = 0.004x - 4; the average number of posts per friend
B)
y=-0.5x - 4; the amount of decrease in the GPA for each post
C)
y = 0.05x - 4; the amount of increase in the GPA for each post
D)
y = -0.004x + 4; the amount of decrease in the GPA for each post

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

17

step-by-step explanation:

51/3=17

thus 17 is your answer.