Answer:

Step-by-step explanation:
To solve for the inverse, we need to switch the variables and solve for y.
Note that f(x) is the same as y or in other words, the output.
f(x) = 3x + 5
y = 3x + 5
~Switch variables
x = 3y + 5
~Subtract 5 to both sides
x - 5 = 3y
~Divide 3 to everything
1/3x - 5/3 = y
~Flip
y = 1/3x - 5/3
Best of Luck!
Slope-intercept form:
y=mx+b
m=slope
b=y-intercept
Data:
m=4/5
b=-1
y=mx+b
y=(4/5)x-1
Answer: the equation of the line with slope=4/5, and y-intercept=-1 would be:
y=(4/5)x-1
Answer:
19.05 ft
Step-by-step explanation:
-Given Hypotenuse=22 ft and the base length is 11 feet.
-We apply the Pythagorean theorem to find the height:

Hence, the stair's height is 19.05 ft
Option D:
A = 1, B = –3 and C = 4.
Solution:
Given equation is x – 3y + 4 =0.
General equation of a line format:
<em>Ax + By + C = 0</em>
<u>To identify A, B and C in the given equation:</u>
x – 3y + 4 =0 is a equation of a line which is in the form of Ax + By + C = 0.
That is,
The coefficient of x is A ⇒ A = 1
The coefficient of y is B ⇒ B = –3
The constant term is C ⇒ C = 4
A = 1, B = –3 and C = 4.
Hence Option D is the correct answer.
Answer:
Step-by-step explanation:
From the graph <em>f</em>(-2) = 0
g(-2) = -3(-2) + 2
= 6 + 2 = 8.
So f(-2) is less than g(-2).
2. From the graph the y-intercept of f(x) = 8.
To find the y-intercept of g(x) solve y = -3x +2 when x = 0:
y = -3(0) + 2 = 2.
So f(x) has a greater y-intercept than g().