Complement adds to 90
complement of A is 90-A
supplement is adds to 180
supplemetn of A is 180-A
2(90-A) is -40+180-A
2(90-A)=-40+180-A
2(90-A)=140-A
distribute
180-2A=140-A
add 2A to both sides
180=140+A
minus 140 both sides
40=A
A=40 degres
Answer: a. Total cost = 3g+2
b. The total cost of 8 games is $26.
Step-by-step explanation:
Given: Cost to bowl a game = $3
Shoe rental charge = $2 (One -time charge)
Total cost = (Cost to bowl a game) x (Number of games)+ (Shoe rental charge )
Let g= number of games, then the expression to find the total cost will be :
Total cost = 3g+2
To find the total cost of 8 games, put g=8, we get
Total cost = 3(8)+2
= 24+2 = $26
Therefore , the total cost of 8 games is $26.
<h3>f(x) = -3·2^(x-1) -1</h3>
- reflection across the x-axis (multiplication by -1)
- vertical expansion by a factor of 3 (multiplication by 3)
- shift to the right 1 unit (replace x with x-1)
- shift down 1 unit (add -1 to the function value)
_____
<h3>f(x) = -1/4·2^(x+1) -1</h3>
You may notice this is the same as the previous question, but with the vertical expansion factor 1/4 instead of 3, and the horizontal shift left instead of right.
- reflection across the x-axis (multiplication by -1)
- vertical compression by a factor of 4 (multiplication by 1/4)
- shift to the left 1 unit (replace x with x+1)
- shift down 1 unit (add -1 to the function value)