Given f(x)=(x+5)(x-2), what are the x-intercepts?

Answers

Answer 1
Answer:

Answer:

The intercepts are -5 and 2

Step-by-step explanation:

Using the zero product property

f(x)=(x+5)(x-2)

0 =(x+5)(x-2)

0 = (x+5)   0=(x-2)

x = -5            x = 2

The intercepts are -5 and 2


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What is the total price of a $21 item including 7.5% sales tax?? plz explain how you get the answer

Answers

In order to get the total price, we need to figure out 7.5% of 21, then add that number to 21.

In order to get 7.5% of 21, we just multiply 21 by 0.075 (since 7.5% ind decimal form is 0.075)

21(0.075)=1.575

Then, we add that number to 21.

21+1.575=22.575

The answer is 22.575, which we can round to $22.58.

Manuel builds and sells wooden crates. He made a table to show how much his crates cost.How much will he be paid for 7 crates?



$



Manuel’s Crates

Crates
2 4 6 8
Cost 25 45 65 85

Answers

the correct answer is 75 :)
The answer is $87.50.

Three times twice an unknown number equals 30.

Answers

If three times twice an unknown number equals 30, then the unknown number is 5.

What is the unknown number in the question ?

It is given that three times twice an unknown number equals 30.

Let the unknown number be x.

From the above information,

⇒ 3*(2x) = 30

⇒ 6x = 30

∴  x = 5

Thus the unknown number is 5 .

Therefore, if three times twice an unknown number equals 30, then the unknown number is 5.

To learn more about unknown number, refer -

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x is unknown number
3x=30
divide by three on both sides and get
x=10

Gary wants to read a 307 page book in ten nights. On the first night, he read 30 pages. If he wants to read the same amount each night that remains , how many pages should he read each night?

Answers

307 divided by 30 equals 30.7. So Gary should read 30 pages each day with an extra paragraph 

Jan is using toothpicks to create patterns as shown below.Figure 1
Figure 2
Figure 3
based on the pattern, how many toothpicks will Jan use in figure 20?

Answers

Where Jan is using toothpicks to create patterns as shown below, He will need 79 toothpicks to complete figure 16. This is an arithmetic progression problem.

How to derive the Number of Toothpicks required for the 20th diagram

As indicated above, the given sequence is an arithmeticprogression.

It is also to be noted that each figure increases with a number of 4 toothpicks.

Thus, to find how many toothpicks will be required at the 20th figure, we need to use the following formula:

The nth term of an arithmetic sequence is given by the formula:

\[a_n = a_1 + (n-1)d\]

For this sequence:

\(a_1 = 3\),

\(d = 4\),

\(n = 20\).

\[a_(20) = 3 + (20-1) * 4\]

\[a_(20) = 3 + 19 * 4\]

\[a_(20) = 3 + 76\]

\[a_(20) = 79\]

Learn more about arithmetic progression at:

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Jan is using toothpicks to create patterns as shown below. Based on the pattern, how many toothpicks will Jan use in Figure 16?
See attached.

Answer:

63

explanation:

They are adding 2 triangles to each figure, you could do it the LONG way by adding 2 to each figure or use an explicit rule

Hope it helps!

ocelyn is going to put wood floors down in her living room. the room 24 feet long and 15 feet wide , how maNY square feet of wood does Jocelyn need

Answers

Jocelyn needs 360 square feet of wood to cover her living room.

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

To determine the total square footage of the living room, we need to multiply the length by the width:

Area of living room = length x width

= 24 ft x 15 ft

Apply the multiplication operation, and we get

= 360 sq ft

Therefore, Jocelyn needs 360 square feet of wood to cover her living room.

Learn more about the area of the rectangle here:

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The perimeter would be 39 feet. The area would be 360 feet. I'm not sure which will be appropriate for this question (you decide).