Answer:
Step-by-step explanation:
We are given that 
is in <em>fourth</em> quadrant.
is always positive in 4th quadrant and
is always negative in 4th quadrant.
Also, we know the following identity about 
and 
:
Using \theta_1 in place of \theta:
We are given that 
is in <em>4th quadrant </em>so is negative.
So, value of
Answer:
(4×x) 7> 80 :)
Step-by-step explanation:
Step-by-step explanation:
You need to find the total number of students the pie chart will represent:
17 + 35 + 38 = 90
So you know, 360° represents 90 people
You can then find out the angle for each person: 360 ÷ 90 = 4
Each person is 4°
a)
1. 17 people took French so you would do 4° × 17 = 68°
2. 35 people took German so you would do 4° × 35 = 140°
3. 38 people took Italian so you would do 4° × 38 = 152°
b)
17 out of 90 people chose french so the probability would be 17/90
Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.
<h3>Inverse of functions</h3>
In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))
Given the function
f(x)= 5-3x/2 and
g(x)= 5-2x/3
f(g(x)) = f(5-2x/3)
Substitute
f(g(x)) = 5-3(5-2x)/3)/2
f(g(x)) = (5-5+2x)/2
f(g(x)) = 2x/2
f(g(x)) = x
Similarly
g(f(x)) = 5-2(5-3x/2)/3
g(f(x)) = 5-5+3x/3
g(f(x)) = 3x/3
g(f(x)) =x
Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.
Learn more on inverse of a function here: brainly.com/question/19859934
#SPJ1
Answer:
0.75d
Step-by-step explanation:
<u>Step 1: Convert words into an expression</u>
At one particular store, the sale price, s, is always 75% of the display price, d
d is the display price
%75 they are always off
d*%75
d * 0.75
<em>0.75d</em>
<em />
Answer: 0.75d
