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3 years ago

Factor completely.

Mathematics

2 answers:

nexus9112 [7]3 years ago

8 0

$5x^2+10x-40=5(x^2+2x-8)=5(x^2+4x-2x-8)=5[x(x+4)-2(x+4)]=5(x-2)(x+4)$

The Answer: B

:)

Burka [1]3 years ago

6 0

5x² + 10x - 40

Let's go through all of the answers & simplify them, then see if they are correct.

A) 5(x - 4)(x + 2)

Simplify.

5x² - 10x - 40

So, A) is INCORRECT.

B) 5(x - 2)(x + 4)

Simplify.

5x² + 10x - 40

So, B) is the correct answer.

However, let's also check C just in case :)

C) 5(x - 4)(x - 2)

Simplify.

5x² - 30x + 40

Therefore C) is incorrect.

So, your correct answer is B) 5(x - 2)(x + 4)

~Hope I helped!~

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Find the product. write your answer in exponential form 9²•9-⁶

enyata [817]

Answer:

9^8

Step-by-step explanation:

9²•9⁶ = 9^(2+6) = 9^8

3 0

2 years ago

Read 2 more answers

A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data between 4.2

Yuliya22 [10]

A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data between 4.2 and 5.1.

Answer: The correct option is B) about 34%

Proof:

We have to find $P(4.2$

To find $P(4.2$ , we need to use z score formula:

When x = 4.2, we have:

$z = \frac{x-\mu}{\sigma}$

$=\frac{4.2-5.1}{0.9}=\frac{-0.9}{0.9}=-1$

When x = 5.1, we have:

$z = \frac{x-\mu}{\sigma}$

$=\frac{5.1-5.1}{0.9}=0$

Therefore, we have to find $P(-1$

Using the standard normal table, we have:

$P(-1$ = $P(z$

$=0.50-0.1587$

$=0.3413$ or 34.13%

= 34% approximately

Therefore, the percent of data between 4.2 and 5.1 is about 34%

7 0

3 years ago

Sistema de ecuaciones.5x+2y=-152x-2y=-6

Zolol [24]

Tnemos el sisema de ecuaciones:

$\begin{gathered} 5x+2y=-15 \\ 2x-2y=-6 \end{gathered}$

Podemos resolverlo por eliminación sumando ambas ecuaciones y eliminando y. Asi podemos resolver para x:

$\begin{gathered} (5x+2y)+(2x-2y)=(-15)+(-6) \\ 7x+0y=-21 \\ x=-\frac{21}{7} \\ x=-3 \end{gathered}$

Ahora podemos resolver para y con cualquiera de las dos ecuaciones:

$\begin{gathered} 2x-2y=-6 \\ 2\cdot(-3)-2y=-6 \\ -6-2y=-6 \\ -2y=-6+6 \\ -2y=0 \\ y=0 \end{gathered}$

Respuesta: x=-3, y=0

7 0

1 year ago

Find the perimeter of WXYZ. Round to the nearest tenth if necessary.

yanalaym [24]

Answer:

C. 15.6

Step-by-step explanation:

Perimeter of WXYZ = WX + XY + YZ + ZW

Use the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ to calculate the length of each segment.

✔️Distance between W(-1, 1) and X(1, 2):

Let,

$W(-1, 1) = (x_1, y_1)$

$X(1, 2) = (x_2, y_2)$

Plug in the values

$WX = \sqrt{(1 - (-1))^2 + (2 - 1)^2}$

$WX = \sqrt{(2)^2 + (1)^2}$

$WX = \sqrt{4 + 1}$

$WX = \sqrt{5}$

$WX = 2.24$

✔️Distance between X(1, 2) and Y(2, -4)

Let,

$X(1, 2) = (x_1, y_1)$

$Y(2, -4) = (x_2, y_2)$

Plug in the values

$XY = \sqrt{(2 - 1)^2 + (-4 - 2)^2}$

$XY = \sqrt{(1)^2 + (-6)^2}$

$XY = \sqrt{1 + 36}$

$XY = \sqrt{37}$

$XY = 6.08$

✔️Distance between Y(2, -4) and Z(-2, -1)

Let,

$Y(2, -4) = (x_1, y_1)$

$Z(-2, -1) = (x_2, y_2)$

Plug in the values

$YZ = \sqrt{(-2 - 2)^2 + (-1 -(-4))^2}$

$YZ = \sqrt{(-4)^2 + (3)^2}$

$YZ = \sqrt{16 + 9}$

$YZ = \sqrt{25}$

$YZ = 5$

✔️Distance between Z(-2, -1) and W(-1, 1)

Let,

$Z(-2, -1) = (x_1, y_1)$

$W(-1, 1) = (x_2, y_2)$

Plug in the values

$ZW = \sqrt{(-1 -(-2))^2 + (1 - (-1))^2}$

$ZW = \sqrt{(1)^2 + (2)^2}$

$ZW = \sqrt{1 + 4}$

$ZW = \sqrt{5}$

$ZW = 2.24$

✅Perimeter = 2.24 + 6.08 + 5 + 2.24 = 15.56

≈ 15.6

5 0

3 years ago

Can anybody help me with explaining polynomials and multiplying them with exponents to please don’t give me a random answer just

zloy xaker [14]

Answer:

First, you need to know how to multiply two monomials together. A monomial is a one term polynomial.

2x × 5x, 2x²y × 3xy², and ab² × 4b³ are examples of products of monomials.

To multiply monomials together, multiply the number parts together and multiply the variables together.

Here are the 3 examples above solved:

2x × 5x = 10x²

2x²y × 3xy² = 6x³y³

ab² × 4b³ = 4ab^5

To multiply two polynomials together, multiply every term of the first polynomial by every term of the second polynomial. then combine like terms.

Example:

(2x² + 3x - 8)(4x³ - 5x²) =

= 2x² × 4x³ + 2x² × (-5x²) + 3x × 4x³ + 3x × (-5x²) - 8 × 4x³ - 8 × (-5x²)

= 8x^5 - 10x^4 + 12x^4 - 15x³ - 32x³ + 40x²

= 8x^5 + 2x^4 - 47x³ + 40x²

This is a lot of material in very little space. You need to start with simple examples of multiplication of 2 monomials. Then practice multiplying a monomial by a binomial. Then practice with polynomials of more terms.

5 0

2 years ago