All categories

3 years ago

How do I factor this?b. 8x2 + 24x + 10

Mathematics

1 answer:

Tanzania [10]3 years ago

6 0

Answer:

2(2x + 1)(2x + 5)

Step-by-step explanation:

Given

8x² + 24x + 10 ← factor out 2 from each term

= 2(4x² + 12x + 5)

To factorise the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 4 × 5 = 20 and sum = + 12

The factors are + 2 and + 10

Use these factors to split the x- term

4x² + 2x + 10x + 5 ( factor the first/second and third/fourth terms )

= 2x(2x + 1 ) + 5(2x + 1) ← factor out (2x + 1) from each term

= (2x + 1)(2x + 5), thus

4x² + 12x + 5 = (2x + 1)(2x + 5) and

8x² + 24x + 10 = 2(2x + 1)(2x + 5) ← in factored form

You might be interested in

A balloon holds 5.2 cubic feet of air. The balloon is blown up larger to hold 8.3 cubic feet of air. What is the percent

Eddi Din [679]

Answer:

8.3+5.2

Step-by-step explanation:

5 0

3 years ago

It's very urgent plss answer

Lesechka [4]

The solution of the equation 4p – [(2p – 3) / 2] = 6 with variable p will be 1.5.

<h3>What is the solution of the equation?</h3>

The solution of the equation means the value of the unknown or variable.

The equation is given below.

4p – [(2p – 3) / 2] = 6

On simplifying, we have

(8p – 2p + 3) / 2 = 6

6p + 3 = 12

6p = 9

p = 1.5

More about the solution of the equation link is given below.

brainly.com/question/545403

#SPJ1

8 0

2 years ago

Miles brought the Russian novel Anna Kerenina. His paperback edition contains 992 page. Miles takes 3 days to read the first 50

Nesterboy [21]

Answer:

59.52 days

Step-by-step explanation:

So this is a simple problem we can solve easily

If it takes 3 days to read 50 pages then obviously his rate of reading is 50 pages per day

If we divide 992 by 50, then we can find how many 3 day increments it will take him

(992/50 is 19.84)

Now is we multiply 19.84 by 3, we get the total amount of days which is 59.52

I hope I helped and have a wonderful day!

7 0

3 years ago

Carbon dioxide comprises approximately what percentage of the atmosphere

In-s [12.5K]

The Carbon Dioxide in the atmosphere is only very small relative to other gases. Typically, it only consists about 0.038 percent or 0.04 percent of the gases in the atmosphere.

<span>
Even though it is only small, CO2 is very important since it is one of the greenhouse gases which ensures that the Earth stays warm.</span>

8 0

3 years ago

suppose that a water fountain produces a stream of water that follows the shape of a parabola. assigning the origin of a coordin

Readme [11.4K]

The quadratic regression equation for the stream of water is $y=-0.139x^{2} +1.667x$ {parabola}

Given that the water stream produced by fountain is parabola

Vertex of parabola is (6,5) , parbola is facing downward,axis of symmetry of parabola is x=6 and parabola passes through (0,0)

according to symmetry the third point on the parabola is (12,0)

General equation for a parabola⇒ Y=-4a $X^{2}$

⇒(y-5)=-4a $(x-6)^{2}$ { as the Vertex of parabola is (6,5) }

⇒(y-5)=-4a( $x^{2} +36-12x$ )

subtituting (0,0) in the equation to get the value of a

⇒-5=-4a(36)

⇒ a= $\frac{-5}{144}$

equation of parabola⇒(y-5)=-4( $\frac{5}{144}$ ) $(x-6)^{2}$

Therefore,The quadratic regression equation for the stream of water is $y=-0.139x^{2} +1.667x$

Learn more about parabola here:

brainly.com/question/21685473

#SPJ4

3 0

2 years ago

How do I factor this?b. 8x2 + 24x + 10​

How do I factor this?b. 8x2 + 24x + 10