A)
SLOPE OF f(x)
To find the slope of f(x) we pick two points on the function and use the slope formula. Each point can be written (x, f(x) ) so we are given three points in the table. These are: (-1, -3) , (0,0) and (1,3). We can also refer to the points as (x,y). We call one of the points

and another

. It doesn't matter which two points we use, we will always get the same slope. I suggest we use (0,0) as one of the points since zeros are easy to work with.
Let's pick as follows:


The slope formula is:
We now substitute the values we got from the points to obtain.

The slope of f(x) = 3
SLOPE OF g(x)
The equation of a line is y=mx+b where m is the slope and b is the y intercept. Since g(x) is given in this form, the number in front of the x is the slope and the number by itself is the y-intercept.
That is, since g(x)=7x+2 the slope is 7 and the y-intercept is 2.
The slope of g(x) = 2
B)
Y-INTERCEPT OF g(x)
From the work in part a we know the y-intercept of g(x) is 2.
Y-INTERCEPT OF f(x)
The y-intercept is the y-coordinate of the point where the line crosses the y-axis. This point will always have an x-coordinate of 0 which is why we need only identify the y-coordinate. Since you are given the point (0,0) which has an x-coordinate of 0 this must be the point where the line crosses the y-axis. Since the point also has a y-coordinate of 0, it's y-intercept is 0
So the function g(x) has the greater y-intercept
Answer: 12 weeks
Step-by-step explanation: you multiply 25x 12+75 so it’s 12 weeks
Answer:
X>_1 and x<_7
Step-by-step explanation:
Answer:
m<1 = 54
m<3 = 54
m<4 = 126
Step-by-step explanation:
<1: <2 and <1 are supplementary angles.
<3: <2 and <3 are supplementary angles. <1 and <3 are vertical angles.
<4: <2 and <4 are vertical angles.
Supplementary angles equal to 180 degrees.
Vertical angles are equivalent.
Let's solve for <1.
<2 + <1 = 180 --> Due to supplementary angles
126 + <1 = 180 --> Substitution
126 + <1 - 126 = 180 - 126 --> Subtracted 126 on both sides
<1 = 54 --> Simplified
Let's solve for <3.
<3 = <1 --> Due to vertical angles
<3 = 54 --> Substitution
Let's solve for <4.
<4 = <2 --> Due to vertical angles
<4 = 126 --> Substitution
Therefore, m<1 = 54, m<3 = 54, and m<4 = 126
Hope this helped! <3
You have to times 11 by 8