The description below represents function a and the table represents function b:
function a
the function is 2 more than 5 times x.
function b
x y
−1 2
0 5
1 8
which statement is correct about the slope and intercept of the two functions?
a) their slopes are equal but y-intercepts are not equal.
b) their slopes are not equal but y-intercepts are equal.
c) both slopes and y-intercepts are equal.
d) neither slopes nor y-intercepts are equal.

D is correct

Step-by-step explanation:

Step 1 : Find equation of function A in y = mx + c

2 more than 5 times x

f(x) = 2 + 5x or y = 5x + 2

Step 2 : Identify slope and y-intercept of function A

y = mx + c

y = 2 + 5x

Slope = m = 5

Y-intercept = c = 2

Step 3 : Find the equation of function B in y = mx + c

From my understanding, the number given in the question are coordinates

(-1, 2) , (0, 5) , (1, 8)

Slope = y2-y1/x2-x1

Lets take two coordinates : (-1, 2) , (0, 5)

Slope = 5-2/0-(-1)

Slope = 3/1 = 3

For y-intercept

Lets take (1, 8)

y = mx + c

8 = 3(1) + c

c = 5

The equation is f(x) = 3x + 5 or y = 3x + 5

Step 4 : Lets write both equations with their slope and y-intercept and check with the statements

y = 5x + 2

y = 3x + 5

A) Their slopes are equal but y-intercepts are not equal. Incorrect

B) Their slopes are not equal but y-intercepts are equal. Incorrect

C) Both slopes and y-intercepts are equal. Incorrect

D) Neither slopes nor y-intercepts are equal. Correct

!!

a is 8.b is 10.c is 10.5. d is -.5

step-by-step explanation:

just minus the smallest number from the biggest.

answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5