Which statement about the properties of Function A and Function B are true? Select each correct statement.
A The Y-intercept of Function A is equal to the Y-intercept of Function B.
B The Y-intercept of Function A is less than the Y-intercept of Function B.
The Y-intercept of Function A is greater than the Y-intercept of Function B.
D The rate of change of Function A is equal to the rate of change of Function B.
E The rate of change of Function A is less than the rate of change of Function B.

B. The Y-intercept of Function A is less than the Y-intercept of Function B

F. The rate of change of Function A is greater than the rate of change of Function B

Step-by-step explanation:

Function A rate of change and y-intercept:

✔️Rate of change using two pairs of values from the given table, (1, 2) and (3, 10):

Rate of change = ∆y/∆x = (10 - 2) / (3 - 1) = 8/2 = 4

Rate of change (m) of Function A = 4

✔️ To find the y-intercept (b) of function A, substitute (x, y) = (1, 2) and m = 4 into y = mx + b (slope-intercept form):

2 = 4(1) + b

2 = 4 + b

2 - 4 = b

-2 = b

b = -2

Y-intercept (b) of function A = -2

Function B rate of change (m) and y-intercept (b):

The function, y = 3x + 4 is given in the slope-intercept form, y = mx + b.

Therefore,

Rate of change/slope (m) = 3

Y-intercept (b) = 4

The following staments about the properties of both functions are therefore true:

B. The Y-intercept of Function A is less than the Y-intercept of Function B

F. The rate of change of Function A is greater than the rate of change of Function B

a4 - 3a2 - 1

step-by-step explanation:

step   1   :

equation at the end of step   1   :

  ((a4) -   3a2) -   1

step   2   :

trying to factor by splitting the middle term

2.1     factoring   a4-3a2-1  

the first term is,   a4   its coefficient is   1 .

the middle term is,   -3a2   its coefficient is   -3 .

the last term, "the constant", is   -1  

wholesale price is the initial price before markup. retail price comes after the markup.

a price of 8 bucks that's marked up by 100%   is

formula: initial price + (percent markup in fraction/decimal)(initial price)

8+(1)(8)

8+8

16

retail price is $16.