3 years ago

Factor completely 4x^2+28x+49

Mathematics

1 answer:

Marianna [84]3 years ago

7 0

(2x)^2+2(2x)(7)+7^2

(2x+7)^2

You might be interested in

HELP HELP HELP<br> HELP HELP <br> HELP <br> (STEP BY STEP)

Marizza181 [45]

With some simple rearrangement, we can rewrite the numerator as

$2x^3 - 3x^2 - x + 4 = 2(x^3 - x) - 3x^2 + x + 4 \\\\ ~~~~~~~~ = 2x(x^2-1) - 3(x^2 - 1) + x + 1 \\\\ ~~~~~~~~ = (2x-3)(x^2-1) + x+1$

Then factorizing the difference of squares, $x^2-1=(x-1)(x+1)$ , we end up with

$\dfrac{2x^3 - 3x^2 - x + 4}{x^2 - 1} = \dfrac{(2x-3)(x-1)(x+1) + x+1}{(x-1)(x+1)} \\\\ ~~~~~~~~ = \boxed{2x-3 + \dfrac1{x-1}}$

3 0

2 years ago

Inverse Functions (please help)

Ann [662]

Answer:

The procedure for this case is add three, then divide by 5.

Step-by-step explanation:

if y=5x-3

to find the inverse, we exchange x and y then solve for the new y.

x=5y-3 add 3

x+3 = 5y divide by 5

(x+3)/5 = y

inverse, y=(x+3)/5

The procedure for this case is add three, then divide by 5.

4 0

3 years ago

Enrico is filling his pool. The pool has 3,000 gallons of water now. The water hose used by Enrico puts 500 gallons per hour in

Feliz [49]

Answer:

3,000=500x

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The graphs below have the same shape. What is the equation of the blue

klemol [59]

Answer:

Step-by-step explanation:

it is A

5 0

3 years ago

Give the angle pair name to justify your work equation setup and solve for x.<br> 6x - 24 2x + 12°

marta [7]

Answer:

x = 9

Step-by-step explanation:

4 0

3 years ago