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3 years ago

What happens when you multiply both numerator and denominator by 4?

Mathematics

1 answer:

Roman55 [17]3 years ago

6 0

Answer:

The answer stays the same.

Step-by-step explanation:

For example, if you have 1/2 and multiply the numerator and the denominator by 4, you get 4/8. 4 divided by 8 still gives you 1/2.

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Find the value of the missing coefficient in the factored form of 8f^3-216g^3

adoni [48]

Answer:

The value of the missing coefficient is 12

Step-by-step explanation:

* Lets explain how to factorize the difference of two cubes

- The factorization of the difference of two cubes like a³ - b³, is a

product of a binomial and trinomial

- The binomial is the cube root of the first term and the second term

∵ The ∛a³ = a and ∛b³ = b

∴ The binomial is (a - b)

- We will find the trinomial from the binomial by square the 1st term

of the binomial and multiply the 1st term and the 2nd term of the

binomial with opposite sign of the binomial and square the 2nd

term of the binomial

∴ The trinomial is (a² + ab + b²

∴ The factorization of (a³ - b³) is (a - b)(a² + ab + b²)

* Lets solve the problem

∵ 8f³ - 216g³ is the difference of two cubes

∵ ∛(8f³) = 2f

∵ ∛(216g³) = 6g

∴ The binomial is (2f - 6g)

- Lets make the trinomial

∵ (2f)² = 4f²

∵ (2f)(6g) = 12fg

∵ (6g)² = 36g²

∴ The trinomial = (4f² + 12fg + 36g²)

∴ The factorization of 8f³ - 216g³ = (2f - 6g)(4f² + 12fg + 36g²)

∴ The value of the missing coefficient is 12

7 0

3 years ago

Expressions. Simplify 2a + 8a

geniusboy [140]

2a+8a
Add 2 and 8.
2a+8a=10a

8 0

3 years ago

Read 2 more answers

On a coordinate plane, a function has four connecting lines. The first line goes from (0, 0) to (2,2), the second line goes from

musickatia [10]

Answer: -2, -1, -2, -3 on Edge

3 0

3 years ago

Read 2 more answers

3(-4x + 5) = 12

8_murik_8 [283]

Answer:

x=1/4

Step-by-step explanation:

7 0

3 years ago

At an university 70% of the students who attend stay on campus. If 1,380 of the students who attend live off campus, what is the

Alborosie

Answer:

4600

Step-by-step explanation:

We can write a proportion to find the total amount who attend university using the information given. A proportion is two equivalent ratios set equal to each other. Since 70% live on campus, then 30% live off campus and we are told that number is 1,380.

$\frac{30}{100}=\frac{1380}{y}$

We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.

30y=100(1380)

30y=138000

y=4600.

There are 4600 students who attend the university.

7 0

3 years ago