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3 years ago

The bowling fans want to play just 1 game of laser tag and more than 1 game of bowling.

Mathematics

1 answer:

lutik1710 [3]3 years ago

3 0

Answer:

C = L + B(x)

Step-by-step explanation:

First, make Laser Tag "L" and Bowling "B." Make the total cost "C." Then, make the equation, with "x" being the number of bowling games. So, the equation is:

Total Cost = Laser Tag Price + (Price of Bowling x Number of Games Bowled)

or in simpler terms,

C = L + B(x).

Hope this helps!

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Yumi and Juan pick up litter along the highway at the same rate. Yumi picks up litter for 3 miles and takes 2 hours longer than

Kay [80]

Answer:

How long did Yumi spend picking up litter?

6 HOURS!!!!

Step-by-step explanation:

just took it on ed:)

5 0

2 years ago

Read 2 more answers

Given the function () = $

elena-s [515]

The inverse of the function f(x) = 1/3x^2 - 3x + 5 is f-1(x) = 9/2 + √[3(x + 7/4)], the sum of the arithmetic series is 1078 and the common ratio of the sequence is 2

<h3>The inverse of the function?</h3>

The function is given as:

f(x) = 1/3x^2 - 3x + 5

Next, we rewrite the function as in vertex form

Using a graphing calculator, the vertex form of the function f(x) = 1/3x^2 - 3x + 5 is

f(x) = 1/3(x - 9/2)^2 - 7/4

Express f(x) as y

y = 1/3(x - 9/2)^2 - 7/4

Swap x and y

x = 1/3(y - 9/2)^2 - 7/4

Add 7/4 to both sides

1/3(y - 9/2)^2 = x + 7/4

Multiply through by 3

(y - 9/2)^2 = 3(x + 7/4)

Take the square root of both sides

y - 9/2 = √[3(x + 7/4)]

Add 9/2 to both sides

y = 9/2 + √[3(x + 7/4)]

Rewrite as an inverse function

f-1(x) = 9/2 + √[3(x + 7/4)]

<h3>Sum of arithmetic series</h3>

Here, we have:

5 + 18 + 31 + 44 + ... 161

Calculate the number of terms using:

L = a + (n -1)d

So, we have:

161 = 5 + (n - 1) * 13

This gives

(n - 1) * 13 = 156

Divide by 13

n - 1 = 12

Add 1

n = 13

The sum is then calculated as:

Sn = n/2 * [a + L]

This gives

Sn =13/2 * (5 + 161)

Evaluate

Sn = 1078

Hence, the sum of the arithmetic series is 1078

<h3>The common ratio of the sequence</h3>

Here, we have:

T11 = 32 * T6

The nth term of a geometric sequence is

Tn = ar^(n-1)

This gives

ar^10 = 32 * ar^5

Divide by ar^5

r^5 = 32

Take the fifth root

r = 2

Hence, the common ratio of the sequence is 2

Read more about sequence at:

brainly.com/question/7882626

#SPJ1

6 0

2 years ago

The length of a rectangle is three times its breadth if the breadth is decreased by 2 m and breadth increased by 4 m the area of

White raven [17]

Answer:

Let the breadth is x, then the length is 3x.

A = lw = 3x*x = 3x²

<u>The breadth is decreased by 2 m: </u>

w = x - 2

<u>The length is increased by 4m: </u>

l = 3x + 4

(x - 2)(3x + 4) = 3x² - 1/3(3x²)
3x² + 4x - 6x - 8 = 2x²
x² - 2x - 8 = 0
x² - 2x + 1 = 9
(x - 1)² = 3²
x - 1 = 3
x = 4

The breadth was 4 m and the length 12 m

8 0

2 years ago

Does anyone understand how to do this

Lerok [7]

Answer:

Step-by-step explanation:

I understand it! (But I'm a high school math teacher so it might be unfair!) ; )

Anyway you have 2 numbers. You don't know what they are so we will call them x and y. Our first statement says that these numbers multiply to equal 120. So that first equation is

xy = 120

Our second statement says that they add to -22. So that second equation is

x + y = -22

Now we need to find the 2 numbers. We have 2 unknowns, x and y. That means that we have to have 2 equations. No more than 2 no less than 2. Solve the first equation for y. It doesn't matter which equation you pick and which variable you choose to solve for. If you do the work correctly, you will get the correct answers either way. Solving the first equation for y gives you:

$y=\frac{120}{x}$