All categories

3 years ago

Which expression is equivalent to 2x^(2)+11x+5

Mathematics

1 answer:

beks73 [17]3 years ago

6 0

Answer:

(x + 5)(2x + 1)

Step-by-step explanation:

Given

2x² + 11x + 5

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 = 2 × 5 = + 10 and sum = + 11

The factors are + 10 and + 1

Use these factors to split the x- term

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

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

= (x + 5)(2x + 1) ← in factored form

You might be interested in

What is the factored form of x^3 + 125?

Lerok [7]

$x^3+125=x^3+5^3$

Sums of cubes can be factored as

$a^3+b^3=(a+b)(a^2+ab+b^2)$

$x^3+125=(x+5)(x^2+5x+25)$

7 0

3 years ago

Read 2 more answers

In 2015, there were roughly 1x10^6 high school football players and 2x10^3 professional football players in the United States.

melisa1 [442]

Answer:

500.

Step-by-step explanation:

(1 * 10^6) / (2 * 10^3)

= 1/2 * 10^6/10^3

= 0.5 * 10^3

= 5 * 10^2

= 500.

5 0

3 years ago

READ WHOLE QUESTION!:There are 50 campers at day camp and 10 counselors.Write the ratio campers to counselors as a fraction.Expl

Dovator [93]

<span>Given that there are 50 campers at day camp and 10 counselors.

The ratio of campers to counselors as a fraction is given by $\frac{50}{10}$ .

Using equivalent fractions we have $\frac{50\div10}{10\div10} = \frac{5}{1}$ .

Thus, the related rate and unit rate to the ratio of campers to counselors is given by $\frac{5}{1}$ .

The unit rate indicates that for every counselor, there are 5 campers.</span>

6 0

3 years ago

In the given right triangle, AX is the altitude. If CX-9 and AX - 9, what is the length of BC? "Note: Figure not drawn to scale"

kenny6666 [7]

Answer:

Step-by-step explanation:

I’m pretty sure the answer is C

6 0

2 years ago

Read 2 more answers

there are 30 flowers in a vase 2.5 of flowers are roses. 1/6 of the flowers are daisies. the rest of the flowers are carnations.

tekilochka [14]

Answer:

13 carnations

Step-by-step explanation:

Assuming you meant 2/5 because 2.5 would mean there are more roses in the vase than there are flowers in the vase, heres how to solve this.

Understanding

Each fraction is referring to "flowers" not "remaining flowers" and as such each time we will be comparing to the total.

2/5 of the total flowers are roses. This is written in words as for every 5 flowers two are roses, which means we will multiply 2 by how many sets of five we have in 30 flowers.

(30/5) x 2 =

(6) x 2 = 12 roses

Though with fractions its written as 30/1*2/5 which is the same as (30 x 2)/5

60/5 = 12 roses

Following this logic for every 6 flowers one is a daisy.

30/1 * 1/6 = (30 x 1)/6 = 30/6 = 5 daisies

Because the rest are carnations we want to subtract the amount of daisies and roses from the total amount of flowers to find the remaining flowers.

30 - 5 - 12 = 13 carnations

Hope this helps,

8 0

3 years ago