Factor: -8x+16+8x8

For a new customer, a video store charges $10 for a rental card plus $2 per movie. Using the linear equation (y=mx+b) you wrote,

netineya [11]

Given:

Charges for rental card = $10

Charges for movie = $2 per movie

To find:

The linear equation for given situation and find the cost to rent 6 movies.

Solution:

Let y be the total cost for x number of movies.

Cost of one movie = $2

Cost of x movies = $2x

Total cost = Charges for rental card + Charges for x movies

$y=10+2x$

Put x=6 to find the cost of 6 movies.

$y=10+2(6)$

$y=10+12$

$y=22$

Therefore, the total cost for a new customer to rent 6 movies is $22.

8 0

3 years ago

Kevin saves 3/4 of the money he earns mowing yards each week. He earned $12.25 last week and $17.00 this week. How much will Kev

inna [77]

The first week Kevin got 12.25 you divid that by 4 then multiply the answer by 3 and you do the same for the next week then you add them together to get your answer which should be $21.93

5 0

4 years ago

According to a poll, 56% of voters support funding a new community center. A surveyor randomly selects 75 voters and asks each v

Debora [2.8K]

The probability of a person being a supporter of the new community center is 56% or 0.56.

<h2 /><h2>Given to us</h2>

56% of voters support funding a new community center
A surveyor randomly selects 75 voters and asks each voter if he or she is in favor of the center.

the probability of a success for this binomial experiment.

We want to know the probability of a single success for this experiment. therefore,

x=1

As given to us that 56% of the voters support funding the new community center, there, the probability of a person being a supporter is 0.56.

p=0.56

Thus, the probability of a person being a supporter of the new community center is 56% or 0.56.

Learn more about binomial distribution:

https://brainly.in/question/1640230

8 0

2 years ago

The middle 5 in 0.555 is 1/10 the value of the 5 to its

Marta_Voda [28]

Great, you know that. no need to ask more.

3 0

3 years ago

The students in Mr. Wilson's Physics class are making golf ball catapults. The

Mnenie [13.5K]

Answer:

Part a) About 48.6 feet

Part b) About 8.3 feet

Part c) The domain is $0 \leq x \leq 48.6\ ft$ and the range is $0 \leq y \leq 8.3\ ft$

Step-by-step explanation:

we have

$y=-0.014x^{2} +0.68x$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

where

x is the ball's distance from the catapult in feet

y is the flight of the balls in feet

Part a) How far did the ball fly?

Find the x-intercepts or the roots of the quadratic equation

Remember that

The x-intercept is the value of x when the value of y is equal to zero

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-0.014x^{2} +0.68x=0$

so

$a=-0.014\\b=0.68\\c=0$

substitute in the formula

$x=\frac{-0.68(+/-)\sqrt{0.68^{2}-4(-0.014)(0)}} {2(-0.014)}$

$x=\frac{-0.68(+/-)0.68} {(-0.028)}$

$x=\frac{-0.68(+)0.68} {(-0.028)}=0$

$x=\frac{-0.68(-)0.68} {(-0.028)}=48.6\ ft$

therefore

The ball flew about 48.6 feet

Part b) How high above the ground did the ball fly?

Find the maximum (vertex)

$y=-0.014x^{2} +0.68x$

Find out the derivative and equate to zero

$0=-0.028x +0.68$

Solve for x

$0.028x=0.68$

$x=24.3$

<em>Alternative method</em>

To determine the x-coordinate of the vertex, find out the midpoint between the x-intercepts

$x=(0+48.6)/2=24.3\ ft$

To determine the y-coordinate of the vertex substitute the value of x in the quadratic equation and solve for y

$y=-0.014(24.3)^{2} +0.68(24.3)$

$y=8.3\ ft$

the vertex is the point (24.3,8.3)

therefore

The ball flew above the ground about 8.3 feet

Part c) What is a reasonable domain and range for this function?

we know that

A reasonable domain is the distance between the two x-intercepts

so

$0 \leq x \leq 48.6\ ft$

All real numbers greater than or equal to 0 feet and less than or equal to 48.6 feet

A reasonable range is all real numbers greater than or equal to zero and less than or equal to the y-coordinate of the vertex

so

we have the interval -----> [0,8.3]

$0 \leq y \leq 8.3\ ft$

All real numbers greater than or equal to 0 feet and less than or equal to 8.3 feet

8 0

3 years ago

Factor: -8x+16+8x8 – 31x2