1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
damaskus [11]
3 years ago
11

17. Bob and his friends decide to go bowling. The cost for the group is $10 for shoe rentals plus $4.00 per game. The model for

this is c= 4g + 10. A. Find the inverse function. B. Using the inverse function, find out how many games can be played if the group has $114 to spend.
Mathematics
1 answer:
nasty-shy [4]3 years ago
5 0
C = 4g + 10

g = 4c + 10
-10       -10
g - 10 = 4c
g - 10/4 = c <----------------------- inverse function

114 = 4g + 10
-10           -10
104 = 4g
g = 26
26 games can be played
You might be interested in
Can someone help me with number 3 please??!!
ipn [44]
There are 2 way to solve this.

one using Pythagoras theorem and 2nd using trigonometry

so lets solve it by both

using Pythagoras theorem we know

base^2 + perpendicular^2 = hypotanes^2

6^2 + x^2 = 12^2

36 + x^2 = 144

x^2 = 144- 36 = 108

x = √(108) = √( 2×2×3×3×3)

= (2×3) √ (3) = 6 √3

so answer is option 2

bow lets use trigonometry

we know
sin theta = perpendicular / hypotanes
sin 60 = x /12
x = 12 × sin 60
we kNow sin 60 = √3/ 2
so
x = 12×√3 /2 = 6√3
7 0
3 years ago
Find the inverse of the function y = x2 – 12
vivado [14]

Answer: y=\sqrt{x+12}

Step-by-step explanation:

I hope you mean y = x² - 12 and not y = 2x - 12.

You switch the y and x variables:

x = y² - 12

And solve for y:

x + 12 = y²

y=\sqrt{x+12}

7 0
2 years ago
For 0 ≤ θ &lt; 2 π what are the solutions to sin^2(θ) =2sin^2(θ/2)
gregori [183]

Recall the half-angle identity for sine,

sin²(x/2) = (1 - cos(x))/2

Then the given equation is identical to

sin²(θ) = 1 - cos(θ)

Also recall the Pythagorean identity,

sin²(θ) + cos²(θ) = 1

Then we rewrite the equation as

1 - cos²(θ) = 1 - cos(θ)

Factoring the left side, we have

(1 - cos(θ)) (1 + cos(θ)) = 1 - cos(θ)

and so

(1 - cos(θ)) (1 + cos(θ)) - (1 - cos(θ)) = 0

and we factor this further as

(1 - cos(θ)) (1 + cos(θ) - 1) = 0

which gives

cos(θ) (1 - cos(θ)) = 0

Then either

cos(θ) = 0   or   1 - cos(θ) = 0

cos(θ) = 0   or   cos(θ) = 1

[θ = arccos(0) + 2nπ   or   θ = -arccos(0) + 2nπ]

…   or   [θ = arccos(1) + 2nπ   or   θ = -arccos(1) + 2nπ]

(where n is any integer)

[θ = π/2 + 2nπ   or   θ = -π/2 + 2nπ]   or   [θ = 0 + 2nπ]

In the interval 0 ≤ θ < 2π, we get three solutions:

• first solution set with n = 0   ⇒   θ = π/2

• second solution set with n = 1   ⇒   θ = 3π/2

• third solution set with n = 0   ⇒   θ = 0

So, the first choice is correct.

6 0
2 years ago
If the date of the second Thursday of the month is a perfect square, what is the date of the last Monday of the month?
Inga [223]

Answer:

last Monday is 27

Step-by-step explanation:

perfect square: 4, 9 , 16

2nd Thursday is a day >5 and < 14 day from the begining of the month, therefore the only day fit the criteria is 9th of the month.

last Monday is 27

Sun Mon Tue Wen Thu Fri Sat

                                  9     10  11

12    13      14     15     16     17  18

.........................................................

26    27

3 0
3 years ago
If 3 drinks cost $9.00, how much will 5 drinks cost
zysi [14]
It will be $15 dollars for 5 drinks
4 0
3 years ago
Read 2 more answers
Other questions:
  • You are at a restaurant and your bill comes to $31.18. The sales tax is 6% and you give the waitress a 20 percent tip on the tot
    12·1 answer
  • Find the exterior angle of a 15-gon
    5·1 answer
  • Find the area of the shaded region in square units ​
    13·1 answer
  • Skyler goes to a school which has 100 students in it. She asks 40 random students whether they like the new 8.30 am start to the
    13·1 answer
  • Plants are unicellular organisms. True of false? PLZ QUICK IM IN THE MIDDLE OF A QUIZ
    5·2 answers
  • A number reduced by the difference between 14 and 6 equals -6. Find the number.
    7·1 answer
  • Marco is 6 feet 3 inches tall. There are 2.54 centimeters in one inch. What is Marcos height in centimeters?
    12·1 answer
  • A state randomly selects 30 high school and collects data on the average 2 points
    14·1 answer
  • CAN ANYONE PLS TELL ME THE BOTH
    9·2 answers
  • The method of completing the square was used to solve the equation 2x^2 – 12x + 6 = 0. Which equation is a correct step when usi
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!