Ask question

Ask question

All categories

3 years ago

13

Factor the polynomial expression 15x^2 - 2x - 8

1 answer:

AVprozaik [17]3 years ago

4 0

Answer:

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

Step-by-step explanation:

Factor the following:

15 x^2 - 2 x - 8

Factor the quadratic 15 x^2 - 2 x - 8. The coefficient of x^2 is 15 and the constant term is -8. The product of 15 and -8 is -120. The factors of -120 which sum to -2 are 10 and -12. So 15 x^2 - 2 x - 8 = 15 x^2 - 12 x + 10 x - 8 = 5 x (3 x + 2) - 4 (3 x + 2):

5 x (3 x + 2) - 4 (3 x + 2)

Factor 3 x + 2 from 5 x (3 x + 2) - 4 (3 x + 2):

Answer: (3 x + 2) (5 x - 4)

You might be interested in

A recipe for a potato salad calls for one teaspoon of vinegar for every two teaspoons of mayonnaise how many teaspoons of vinega

tekilochka [14]

We can find this by doing 16/2

This is equal to 8

The answer is you need 8 teaspoons of vinegar for 16 tsp of mayonnaise

8 0

4 years ago

Read 2 more answers

For a given rabbit population, the relationship between the number of adult female rabbits, F, and the number of offspring, R, t

Sphinxa [80]

Considering the given function in the problem, it is found that:

a. 9.6 offspring survive to maturity when there are 12 female rabbits in the population.

b. At least 18 female rabbits are required for there to be 13 offspring.

<h3>What is the given function in this problem?</h3>

The function gives the relationship between the number of adult female rabbits F and the number of offspring R as follows:

$R = 3 + \frac{350F}{F + 625}$

When there are 12 female rabbits, we have that F = 12, hence:

$R = 3 + \frac{350 \times 12}{12 + 625} = 9.6$

9.6 offspring survive to maturity when there are 12 female rabbits in the population.

For at least 13 offspring, we have that the number of rabbits needed is given as follows:

$R \geq 13$

$3 + \frac{350F}{F + 625} \geq 13$

$\frac{350F}{F + 625} \geq 10$

$350F \geq 10F + 6250$

$F \geq \frac{6250}{340}$

$F \geq 18$

At least 18 female rabbits are required for there to be 13 offspring.

More can be learned about functions at brainly.com/question/25537936

#SPJ1

5 0

2 years ago

Plot the inequality on the number line. <br><br><br> x ≤ 1 or x>8

Crank

Answer:

See the picture

Step-by-step explanation:

Interval (-∞, 1] U (8, ∞)

6 0

3 years ago

Aiden calculated the area of triangle QRS below by finding half the product of 1.5 and 1.1.

MrRissso [65]

His error is the second choice.
Aiden should have calculated
area = (1.1 * 5.4) / 2
because triangle area = half the base times the altitude.

8 0

3 years ago

Read 2 more answers

HELPPPP PLEASE!!!!!!

worty [1.4K]

Answer:

<h3>y = 20</h3><h3 />

Step-by-step explanation:

line RPN = 180 = 4y - 10 + 90 + y

180 - 90 + 10= 5y

100 = 5y

y = 100/5

y = 20

7 0

3 years ago