Answer:
C and F
Step-by-step explanation:
Given
(3x - 5)² = 19 ( take the square root of both sides )
3x - 5 = ±
← note plus or minus
Add 5 to both sides
3x = ±
+ 5 ( divide both sides by 3 )
x = ±
Separating the solutions
x =
→ C
x =
→ F
Answer:
See Below.
Step-by-step explanation:
We want to verify the equation:

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

Simplify. The denominator uses the difference of two squares pattern:

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

Split into two separate fractions:

Rewrite the two fractions:

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

Hence verified.
Replace f(x) with y
Y = 2x -5
Swap roles of x
X= 2y-5
5+x =2y
Divide by 2
5+x /2 = y
Replace y with inverse f^-1(x)
Answer= f^-1(x) = 5+x / 2
For example let's say Megan has to pay the cab driver $50. Here's the equation 50=1.50x + 5
First you want to get x by itself on one side. So subtract 5 on both sides
50=1.50x + 5
-5 -5
---------------------------
45=1.50x
Now that you have x on one side; however, you want to divide to get the answer.
45=1.50x
-----------------------
1.50
x = 30
So if Megan pay $50 that mean she rode 30 miles
~by the way I'm sorry if you are looking at the answers and it isn't in the right place, I'm answering this on a tablet~