MATHEMATICS HIGH SCHOOL

Based on the graph below, what is the total number of solutions to the equation f(x) = g(x)?graph of function f of x equals negative 11 by 3 multiplied by x plus 11 by 3 and graph of function g of x equals x cubed plus 2 multiplied by x squared minus x minus 2

One
Two
Three
Four

Answers

Answer 1
Answer:

Answer:

The total number of solutions is one

Step-by-step explanation:

we have

f(x)=-(11)/(3)x+ (11)/(3)

g(x)=x^(3)+2x^(2)-x-2

To solve the system of equations equate f(x) and g(x)

f(x)=g(x)

The solution of the system of equations is the intersection points both graphs

Using a graphing tool

see the attached figure

The solution of x

x=1

There is only one point of intersection both graphs

therefore

The total number of solutions is one
Answer 2
Answer:

Answer:

the answer is One

Step-by-step explanation:

A solution is where the two lines intersect on the graph, and as you can see, in the picture above, the two lines only intersect once

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the student council is organizing a trip to a rock concert. all proceeds from ticket sales will be donated to a charity. tickets to the concert cost $31.25 per person if a minimum of 104 people attend. for every 8 extra people that attend, the price will decrease by $1.25 per person.a). how many tickets need to be sold to maximize the donation to charity?b). what is the price of each ticket that maximizes the donation?c). what is the maximum donation?

Answers

I got the maximum donation $152

Final answer:

To maximize the donation to charity, a total of 117 tickets need to be sold. The price per ticket that maximizes the donation is $29.0625. The maximum donation is $3,400.3125.

Explanation:

To maximize the donation to charity, we need to determine the number of tickets that need to be sold and the price per ticket that will result in the maximum donation.

a) To find the number of tickets, we can start with the minimum attendance requirement of 104 people. For every 8 extra people that attend, the price decreases by $1.25. So the number of extra people is calculated by dividing the total increase in price ($31.25 - $30) by the decrease per person ($1.25), which is 8. Therefore, the number of extra people is 13. To find the total number of tickets, we add the minimum attendance of 104 people and the number of extra people of 13. So the total number of tickets that need to be sold to maximize the donation to charity is 117.

b) To find the price per ticket, we start with the price of $31.25 and take into account the decrease of $1.25 for every 8 extra people. We can calculate the price decrease per person by dividing $1.25 by 8, which is $0.15625. To find the price per ticket, we subtract the decrease per person from the initial price, multiplied by the number of extra people. So the price per ticket that maximizes the donation is $31.25 - ($0.15625 × 13) = $29.0625.

c) To find the maximum donation, we multiply the price per ticket by the total number of tickets sold. So the maximum donation is $29.0625 × 117 = $3,400.3125.

Learn more about Maximizing donation to charity here:

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a rancher decreased the number of his herd from 150 head to 120 head of cattle. What was the percent of decrease in the number of cattle

Answers

Answer:answer choices?

Step-by-step explanation:

Roy's average balance checking account pays simple interest of 4.8% annually, and he made $2.25 in interest last month. What was Roy's average balance last month?

Answers

$562.50.

Thats what it is but it thinks im explaining it but im not because thats more than 20 characters

What ratios are equivalent to 2 : 7?

Answers

Answer:

4:14, 6:21, 8:28

Step-by-step explanation:

Answer:

4:14, 6:21, 8:28, 10:35, 12:42, 14:49, 16:56, 18:63, 20:70, etc

Step-by-step explanation:

Solve the equation: Show work step by step

-14=-5+3c

Answers

-14 = -5 + 3c

First, regroup your terms. / Your problem should look like: -14 = 3c - 5
Second, add 5 to both sides. / Your problem should look like: -14 + 5 = 3c
Third, simplify -14 + 5 to -9. / Your problem should look like: -9 = 3c
Fourth, divide both sides by 3. / Your problem should look like: -(9)/(3) = c
Fifth, simplify the fraction to 3. / Your problem should look like: -3 = c
Sixth, switch your sides. / Your problem should look like: c = -3

Answer: c = -3

−14=−5+3c

−14=3c−5

Flip the equation.

3c−5=−14

Add 5 to both sides.

3c−5+5=−14+5

3c=−9

Divide both sides by 3.

3c/3=−9/3

c=−3

What is |5.4|?
What is the opposite of 10?

Answers

Answer:

-10

Step-by-step explanation:

Answer:

1. 5.4

2. The additive inverse is the negative value, -10.

The multiplicative inverse (reciprocal) is 1/10.

Step-by-step explanation:

1. Since the value within the absolute value is not negative then the value remains the same.

2, The opposite of positive 10 could be -10. The reciprocal is 1/10.
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