Answer:
The line with the x- and y-intercepts below has the following equation:
Step-by-step explanation:
The equation of the line has the following format:
We are given two points, we are going to substitute them into the above equation, and find the equation of the line given the conditions.
Solution
Starting from the y-intercept makes the solution easier, since the term a is multiplied by 0
y-intercept -5
This means that when 
, so:
For now, the line has the following equation:
x-intercept 7
This means that when 
, so:
So, the line with the x- and y-intercepts below has the following equation:
Answer:
f (
x
) −
1 =
(
1/
4 x
) −
2.
Step-by-step explanation:
For inverse function, the x and y interchanges and then make y the subject again of the equation. See the working out below:
f (
x
) = 4
x + 8
f (
x
) = y
y = 4
x + 8
x = 4
y +
8 ----- interchanging y and x
Now make y the subject of the equation:
x = 4
y + 8
−
4
y = -
x + 8
y = (
−
1/
4 )
. − x
+ (
−
1/
4 ) .8
y = (
1/
4 x
) −
2
So the inverse function is:
f (x) −
1 = (
1/
4 x
) −
2
Answer:
yes
Step-by-step explanation:
Answer:
x ≤ 2
Step-by-step explanation:
-6x - 7 ≥ -19
Add 7 to both sides: -6x ≥ -12
Divide both sides by 6: -x ≥ -2
Divide both sides by -1: x ≤ 2
When you divide by a negative, you have to switch the sign around (hence why I chose to do this in separate steps, so it's clearer)
