Please help me I need this answer to pass high school, math is so difficult man, giving brainliest

PLEASE ANSWER

oksano4ka [1.4K]

Answer:

x² + 9x + 8 = (x + 1)(x + 8)

x² + 9x + 8 = (x + 8)(x + 1)

Step-by-step explanation:

* Lets explain how to factorize the polynomial using the pattern

- The form of the quadratic polynomial is x² + px + q, where p is the

coefficient of x and q is the numerical term

∵ x² + (a + b)x + (ab) = (x + a)(x + b)

- From the formula above the coefficient of x is the sum of the two

factors a and b

∴ p = a + b and q = ab

- That means p is the sum of two numbers and q is the product of

the same numbers

* Lets solve the problem

∵ x² + 9x + 8 is a quadratic polynomial

∵ x² + px + q is the form of quadratic polynomial

∴ p = 9 and q = 8

∵ p = a + b and q = ab

∴ a + b = 9 ⇒ (1)

∴ ab = 8 ⇒ (2)

- We must to find two numbers their product is 8 and their sum is 9

∵ The possibility of 8 as a product of two numbers is:

2 × 4 OR 1 × 8

∵ The sum of 1 + 8 = 9

∴ The value of a and b are 1 and 8

- It does't matter which of them = 1 or which of them = 8

∴ x² + (a + b)x + ab = x² + (1 + 8)x + (1)(9)

∵ x² + (a + b)x + (ab) = (x + a)(x + b)

∴ x² + (1 + 8)x + (1)(9) = (x + 1)(x + 8)

∴ x² + 9x + 8 = (x + 1)(x + 8)

- OR

∴ x² + 9x + 8 = (x + 8)(x + 1)

3 0

3 years ago

Can you plz find the area of the parallelogram??

levacccp [35]

13.5·18=243
Base* Hight= Answer

6 0

3 years ago

Read 2 more answers

Find 2/5 divided 1/8 simplest form

Mekhanik [1.2K]

Answer: 3.2

Step-by-step explanation: (2/5)/(1/8)=(2/5)*8= 16/5=3 1/5=3.2

8 0

3 years ago

The quotient of 74 and c added to 17 is less than or equal to 31.

Harman [31]

74 / c+17 < 31
--

the sign is a less than or equal to
/ is a division sign

5 0

3 years ago

Harrison is comparing two certificates of deposit, one at a local financial institution and the other at an online financial ins

Alekssandra [29.7K]

The online institution offer is the better deal

Step-by-step explanation:

The formula for compound interest, including principal sum is:

$A=P(1+\frac{r}{n})^{nt}$ , where

A is the future value of the investment/loan, including interest
P is the principal investment amount
r is the annual interest rate (decimal)
n is the number of times that interest is compounded per unit t
t is the time the money is invested or borrowed for

The local institution

∵ The local institution offers a rate of 6% compounded annually

∴ r = 6% = 6 ÷ 100 = 0.06

∴ n = 1 ⇒ compounded annually

∵ Harrison has a principal amount of $5,000

- Substitute them in the formula above

∵ $A=5000(1+\frac{0.06}{1})^{(1)t}$

∴ $A=5000(1.06)^{t}$

Let us find A for t = 1 , 2 , 3 , 10

∵ t = 1

∴ $A=5000(1.06)^{1}=5300$

∵ t = 2

∴ $A=5000(1.06)^{2}=5618$

∵ t = 3

∴ $A=5000(1.06)^{3}=5955.08$

∵ t = 10

∴ $A=5000(1.06)^{10}=8954.24$

The online institution

The online institution offers a rate of 6% compounded quarterly

∴ r = 6% = 6 ÷ 100 = 0.06

∴ n = 4 ⇒ compounded quarterly

∵ Harrison has a principal amount of $5,000

- Substitute them in the formula above

∵ $A=5000(1+\frac{0.06}{4})^{4t}$

∴ $A=5000(1.015)^{4t}$

Let us find A for t = 1 , 2 , 3 , 10

∵ t = 1

∴ $A=5000(1.015)^{4}=5306.82$

∵ t = 2

∴ $A=5000(1.015)^{8}=5632.46$

∵ t = 3

∴ $A=5000(1.015)^{12}=5968.09$

∵ t = 10

∴ $A=5000(1.015)^{40}=9070.09$

By comparing the amount of the future values in both offers we find that the future values of the online institution is greater than the future values of the local institution for the same number of years

∵ $(1.015)^{nt}$ > $(1.06)^{t}$

∴ The future value of the online institution > the future value of

the local institution

The online institution offer is the better deal

Learn more:

You can learn more about the interest in brainly.com/question/12773544

#LearnwithBrainly

8 0

3 years ago