Answer:
Step-by-step explanation:
f-1(x) is the inverse of f(x)
to find the inverse let’s set the equation up like this
y = 4x -2
now we’ll switch x and y
x = 4y -2
and solve for y
x + 2 = 4y
x/4 + 2/4 = y
the inverse is
y = x/4 + 1/2
this equation is written in y = mx + b form
where b = y intercept
so the y intercept is 1/2
To solve the problem we must know about Sine Rule.
<h3>What is
Sine rule?</h3>
The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,

where
- Sin A is the angle and α is the length of the side of the triangle opposite to angle A,
- Sin B is the angle and β is the length of the side of the triangle opposite to angle B,
- Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.
The value of w is 4.0 cm.
Given to us
- VW = 3.3 cm,
- ∠U = 31°,
- ∠W = 39°,
<h3>Using the sine law,</h3>

Substitute the values,



w = 4.03224 cm ≈ 4.0 cm
Hence, the value of w is 4.0 cm.
Learn more about Sine Rule:
brainly.com/question/17289163
Answer:
f(g(x))(-1) = 0
Step-by-step explanation:
Step 1: Find f(g(x))
5(x + 3) - 10
5x + 15 - 10
5x + 5
Step 2: Plug in -1
5(-1) + 5
-5 + 5
0
Answer:
C
Step-by-step explanation:
Formula for potential energy is PE = m*g*h
where
m is the mass, in kg
g is the acceleration due to gravity, in meters per second squared, and
h is the height, in meters
The problem gives m = 50, g = 9.8, and h = 5. We plug that into the formula and get out answer. So:

Correct answer is C.
Answer:
4/25 seconds
Step-by-step explanation:
the second (0.16) is in two decimal places, so divide 16 by 100

to express in the simplest form, divide the numerator and the denominator by 4
= 