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lawyer [7]
3 years ago
15

Write a possible equation for a polynomial whose graph has the following horizonal intercepts. Show your work.

Mathematics
1 answer:
posledela3 years ago
6 0

Answer:

A) x - 4

B) x² - 4x

C) x³ - 2x² - 8x

D) 2x³ + 3x² - 32x + 15

Step-by-step explanation:

A)

x-intercepts: x = 4

Factors:

(x - 4)

B)

x-intercepts: x = 4, 0

Factor:

(x - 0)(x - 4)

x² - 4x

C)

x-intercepts: x = 4, 0, -2

Factor:

(x - 0)(x - 4)(x + 2)

(x² - 4x)(x + 2)

x³ - 4x² + 2x² - 8x

x³ - 2x² - 8x

D)

x-intercepts: x = 3, ½, -5

Factor:

(x - 3)(2x - 1)(x + 5)

(2x² - 6x - x + 3)(x + 5)

(2x² - 7x + 3)(x + 5)

2x³ - 7x² + 3x + 10x² - 35x + 15

2x³ + 3x² - 32x + 15

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Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The amount of monthly payments is $287.5.

<h3>What is simple interest?</h3>

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = (PRT)/100

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

Given the following details about the simple interest loan as,

Principal amount, P = $3,000

Interest rate, r = 15%

Number of instalments = 12

Since there are 12 instalments each for a month, therefore, the time period for which the loan was there is 1 year.

Now, the interest for 1 year will be,

Interest amount = ($3,000 × 1 × 15)/100

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Further, the total amount that is needed to be paid back is the sum of the principal amount and Interest amount.

Amount needed = $3,000 + $450

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Moreover, there are 12 instalments, therefore, the number of monthly payments will be,

Monthly payment = $3,450/12 = $287.5

Hence,  the amount of monthly payments is $287.5.

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A circular swimming pool has a radius of 28ft. There is a path all the way around the pool that's 4ft wide. A fence is going to
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