Factoring polynomials of 18x-60x^5 please explain the steps.

Answers

Answer 1

Answer: rewrite as -60x^5 + 18x
factor out greatest common factor 6x
6x (-10x^4 + 3)

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23. Jackie returned to the store later that day and bought n more notebooks at the same price. This time she used a store coupon for $3.50 off her entire purchase. The total she spent was more than $18. Write an inequality to represent this situation.Inequality
What was the least number of notebooks that Jackie could have bought this time?
Answer
notebooks

Answers

Answer:

Step-by-step explanation:

-18=d+4 plZ hurry thank you so much have a great day

Answers

Answer:

d = - 22

Step-by-step explanation:

- 18 = d + 4 ( subtract 4 from both sides )

- 22 = d

Question:In the equation P = 2x + 7, P represents the price, in dollars, of tickets to a concert x hours after they go on sale. When will the price exceed $20.00?

1. Describe in words how the equation can be used to solve the problem.

2. Draw a graphical representation of the price equation, and illustrate how a solution could be found that way.

Answers

Let

P-------> the price in dollars of tickets

x------> the number of hours

we know that

$P=2x+7$ -------> equation A

When will the price exceed $20.00?

Part 1) Describe in words how the equation can be used to solve the problem

Substitute the value of P equal to $\$20.00$ in the equation A and find the value of x

For $P=\$20.00$

substitute in equation A

$20=2x+7$

$2x=20-7$

$2x=13$

$x=6.5\ hours$

therefore

the answer Part 1) is

the price exceed $\$20.00$ when the time exceed $6.5\ hours$

Part 2) Draw a graphical representation of the price equation, and illustrate how a solution could be found that way.

using a graphing tool

Draw the equation of the lines

$P=2x+7$

$P=20$

the solution is the intersection both graphs

see the attached figure

the solution is the point $(6.5, 20)$

that means

for $x=6.5\ hours$

$P=\$20.00$

1. This equation can be used to help solve the problem by plugging in numbers for x. Whatever answer for x gives a price that is more than $20.00 is the answer for the number of tickets that have to be sold in order to exeed $20.00.

2. This equation has the same format as an equation in slope intercept form. This makes it easy to graph.The y intercept will be 7 and the slope is 2. Using this information, it is easy to graph the equation and find a solution. The graph should look like the image I attached to this answer.

Angle kl bisects angle vkw. Classify angle vkw if measure of angle lkw is 25°

Answers

angle lkw = 25 degree
thus, angle vkw = 2 x 25 = 50 degree

as the angle vkw is 50 degree, angle vkw can be classified as an acute angle

1. Each of 9 friends chooses her favorite positive integera. The median of the chosen number is 91, what is the smallest the average of the 9 chosen numbers could be?

b. The median of the chosen number is 91, is there an limit to how large the aerge of the chosen numbers can be? If so, what is the largest the average can be?

c. The average of the chosen number is 91, what is the smallest the median of the 9 chosen numbers could be?

d. The average of the chosen numbers is 91. What is the largest the median of the chosen numbers could be?

Answers

Answer:

a) 1

b) There is no limit to which the largest number can be because we are only given information about the median.

c) 1

d) 90

Final answer:

The smallest average is 49 and the largest average is 91. The smallest median is 91 and the largest median is also 91.

Explanation:

a. Since the median is 91, at least 5 friends must choose numbers greater than or equal to 91, and at most 4 friends can choose numbers less than 91. To minimize the average, let's assume the four friends choose the smallest possible numbers less than 91 (1, 2, 3, and 4). The remaining five friends can then choose 91, 91, 91, 91, and 91. The average of the nine chosen numbers is (1 + 2 + 3 + 4 + 91 + 91 + 91 + 91 + 91)/9 = 49.

b. There is no limit to how large the average of the chosen numbers can be. The nine friends can all choose the same number, such as 91, which would make the average 91.

c. Since the average is 91, let's assume the eight friends choose the smallest possible numbers less than 91 (1, 2, 3, ..., 8). The remaining friend can then choose a number greater than or equal to 91. To minimize the median, the friend can choose the smallest possible number greater than or equal to 91, which is 91. So, the smallest median would be 91.

d. Since the average is 91, let's assume the eight friends choose the largest possible numbers less than 91 (84, 85, ..., 91). The remaining friend can then choose a number greater than or equal to 91. To maximize the median, the friend can choose the largest possible number greater than or equal to 91, which is 91. So, the largest median would also be 91.

Learn more about median and average of chosen numbers here:

brainly.com/question/33899535

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Maria had exemptions of $4,000 for herself and dependents. Her deductions include $12,500 for damage caused to her house by a lightning storm, $500 for charitable contributions, and property taxes of $1,500. What is her taxable income if she has an income of $62,500?$81,000
$62,500
$44,000
$50,000

Answers

Total exemptions and deductions:
exemption for herself and dependents : 4,000
uninsured loss or damage due to fire: 12,500
Property tax paid 1,500
Charitable contributions 500
18,500

Total Income : 62,500
less: total exemptions and deductions: 18,500
Taxable Income 44,000

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