Consider the function ƒ(x) = –2x – 7 and the function g(x), which is graphed above. Select the correct statement from the options that follow. a) The function g(x) has a steeper slope than ƒ(x).
b) There isn't enough information to determine which function has a steeper slope.
c) The functions ƒ(x) and g(x) have the same slope.
d) The function ƒ(x) has a steeper slope than g(x).

d) The function ƒ(x) has a steeper slope than g(x)

Step-by-step explanation:

We are given that

The graph g(x) passing through the point (1.2,0) and  (0,4).

Let

y=f(x)=-2x-7

Slope of function f(x)

Slope formula

Using the formula

Slope of g(x)

Slope of g(x)=-3.33<-2

Slope of f(x) is greater than slope of g(x).

Therefore, function f(x) has a steeper slope than g(x).

Option d) is correct.

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