Answer:
Step-by-step explanation:
Rearrange each function to solve for x.
Switch x and y,
The resulting equation is the inverse function.
A:
f(x) = y = 5+x
x = y-5
y = x-5
f⁻¹(x) = x-5
g(x) = 5-x ≠ f⁻¹(x)
g(x) is not the inverse of f(x).
:::::
B:
f(x) = y = 2x-9
x = (y+9)/2
y = (x+9)/2
f⁻¹(x) = (x+9)/2
g(x) = (x+9)/2 = f⁻¹(x)
g(x) is the inverse of f(x).
:::::
C:
f(x) = y = 2/x - 6
x = 2/(y+6)
y = 2/(x+6)
f⁻¹(x) = 2/(x+6)
g(x) = (x+6)/2 ≠ f⁻¹(x)
:::::
D:
f(x) = y = x/3 + 4
x = 3y - 12
y = 3x - 12
f⁻¹(x) = 3x - 12
g(x) = 3x - 4 ≠ f⁻¹(x)
g(x) is not the inverse of f(x).
Answer:
Part A: 1
Part B: -4
Step-by-step explanation:
In a coordinate 
, the x-coordinate represents the input of a function and the y-coordinate represents the output.
Part A:
We're looking for the point the line passes through with an x-coordinate (input) of -3. This point is (-3,1) and therefore the output is 1 when the input is -3.
Part B:
We're looking for the point the line passes through with a y-coordinate (output) of 2. This point is (-4,2) and therefore an input of -4 yields an output of 2.
Answer:
Step-by-step explanation:
4. (6^10)^-7 is when the exponents should be multiplied
answer is B
5. (7^3)^-2 = (7^-6)
1/7^6 = 1/(7x7x7x7x7x7)
answer is A
2. 11^-4/11^8= 1/11^(8+4) = 1/11^12
answer is A
3. (2^5/3^2)^4= 2^20/3^8
answer is A
Answer:
The slope of the given line and a line parallel to it is 5/2.
Step-by-step explanation:
Explanation:
Given:
5
x
−
2
y
=
11
is the standard form of a linear equation.
A line parallel to this line has the same slope. To determine the slope, solve for
y
to change the equation to slope-intercept form:
y=mx+b, where: m is the slope and b is they intercept.5x−2y=11
Subtract 5x from both sides. −2y=−5x+11
Divide both sides by −2. y=−5/−2x+11/2
Simplify. y=5/2 x −11/2
The slope of the given line and a line parallel to it is 5/2.
.
480 goes into 1680 3 times 144 left bring down your 0. 480 goes into 2400 5 times. your answer is 35 cans of paint
