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2 years ago

Which of the following represents the factorization of the polynomial below ?

Mathematics

1 answer:

Ugo [173]2 years ago

6 0

2x² + 13x + 15

First you multiply the first and last number, 2 · 15 = 30

Now you need to find the factors of 30 that add or subtract to +13(I added the plus sign to indicate that the factors that add/subtract to 13 must come out as positive 13)

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30 [1 · 30, 2 · 15, 3 · 10, 5 · 6]

You can do either 15 and 2 because 15 - 2 = 13, or 3 and 10 because 3 + 10 = 13.

I will be doing 10 and 3

2x² + 13x + 15 Instead of 13x, you can replace it with 3x and 10x because when you add it together it is 13x

2x² + 3x + 10x + 15 Now you can factor them out separately

x(2x + 3) + 5(2x + 3) You can factor out (2x + 3) from x and 5 to get:

(2x + 3)(x + 5)

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NEED HELP ASAP PLEASE!!

qwelly [4]

Option D:

$$y=\frac{5x-2}{x}$

Solution:

Given function:

$$y=\frac{-2}{x-5}$

To find the inverse of the function.

Inverse of a function:

If a function f(x) is mapping x to y, then the inverse function of f(x) maps y back to x.

$$y=\frac{-2}{x-5}$

Interchange the variables x and y.

$$x=\frac{-2}{y-5}$

Now, solve for y.

Multiply both sides by (y - 5).

$$x(y-5)=-\frac{2}{y-5}(y-5)$

Cancel the common factors, we get

$x(y-5)=-2$

Divide by x on both sides.

$$y-5=-\frac{2}{x}$

Add 5 on both sides.

$$y=-\frac{2}{x}+5$

$$y=-\frac{2}{x}+\frac{5}{1}$

To make the denominator same, multiply the 2nd term by $\frac{x}{x}$ .

$$y=-\frac{2}{x}+\frac{5x}{x}$

$$y=\frac{-2+5x}{x}$

$$y=\frac{5x-2}{x}$

Option D is the correct answer.

8 0

2 years ago

Elena says she needs 263 plastic sleeves for her comic book collection. She has comic books. Each sleeve holds 4 comic books. Do

mote1985 [20]

The answer would be no. She needs 264 plastic covers in order to fit all comic books.
Divide 1,056 by 4
You should get 264.

7 0

2 years ago

I need x+y=5 and y=2x-4solved algebraically

schepotkina [342]

Answer:

x = 3; y = 2

Step-by-step explanation:

x + y = 5

y = 2x - 4

Isolate the y in the first equation

y = 5 - x

y = 2x - 4

Substitute the values

5 - x = 2x - 4

Isolate the Variable

9 = 3x

Simplify

3 = x

Plug that into the first equation

3 + y = 5

Subtract 3 from both sides

y = 2

4 0

3 years ago

Read 2 more answers

Which results only in a horizontal compression of y=1/x by a factor of 6

yan [13]

we are given

parent function as

$y=\frac{1}{x}$

Suppose, we are given a function y=f(x) is compressed horizontally by ''b'' units

where b>1

so, we can write as

new function as

$y=f(bx)$

Here, it is compressed by factor 6

so, we can replace x as 6x

and we get

$y=\frac{1}{6x}$

so, option-A.........Answer

7 0

2 years ago

Read 2 more answers

For for each quadratic function below use method of completing the Square or averaging the x-intercept to write the equation in

lions [1.4K]

We have the expressions:

$f(x)=x^2+6x+15$ $y=x^2-4x+9$ $f(x)=x^2-8x$ $y=x^2+7x-2$

Now, with this we operate as follows:

$f(x)=x^2+6x+15=x^2+6x+9+15-9$ $\Rightarrow(x+3)^2+6$

Then, the axis is x = -3 and the vertex (-3, 6)

$y=x^2-4x+9=x^2-4x+4+9-4$ $\Rightarrow(x-2)^2+5$

Then, the vertex is (2, 5) and the axis is x = 2.

$f(x)=x^2-8x+4-4\Rightarrow(x-2)^2-4$

Then, the vertex is (2, -4) andd the axis is x = 2.

$y=x^2+7x-2=x^2+7x+\frac{49}{4}-2-\frac{49}{4}$ $\Rightarrow(x+\frac{7}{2})^2-\frac{57}{4}$

Then, the vertex is (-7/2, -57/4) and the axis is -7/2.

7 0

8 months ago