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3 years ago

Can someone help me figure this out: Factor 12y^2-27? I keep getting the steps confused.

1 answer:

8 0

Factor out the gcf first.

3(4y^2-9)

The binomial inside is a perfect square so keep factoring.

3(2y+3)(2y-3)

The pair of binomials cannot be further factored so stop there.

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Bert already has $50 but needs a total of at least $250 for his vacation. He gets paid $20 per day for delivering papers. What i

kati45 [8]

Answer:

I got 10

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Q-The general solution of inequality cos 2 x≤- sin x is

frozen [14]

Answer:

x∈[2nπ−5π/6, 2nπ−π/6]∪{(4n+1)π/2}, n ϵ I

Step-by-step explanation:

1−2sin2 x≤−sin x ⇒ (2sin x+1)(sin x−1)≥0

sin x≤−1/2 or sin x≥1

−5π/6+2nπ≤x≤−π/6+2nπ or , n ϵ I x=(4n+1)π/2, n ϵ I⇒ -5π6+2nπ≤x≤-π6+2nπ or , n ϵ I x=4n+1π2, n ϵ I (as sin x = 1 is valid only)

In general⇒ In general x∈[2nπ−5π/6, 2nπ−π/6]∪{(4n+1)π/2}, n ϵ I

3 0

4 years ago

A girl throws a 2 kg rock with a net force of 6 N. What is the acceleration of the rock?

krek1111 [17]

Answer:
acceleration = 3 m/s²

Explanation:
From Newton's second law:
Force = mass * acceleration
We are given that:
Force = 6 Newton
mass = 2 kg

Substitute with the givens in the above equation to get the acceleration as follows:
Force = mass * acceleration
6 = 2 * acceleration
acceleration = 6 / 2 = 3 m/s²

Hope this helps :)

8 0

3 years ago

Working alone at their respective constant rates, machine A and machine B can fill a certain order in 3 hours and 6 hours, respe

ozzi

Answer: 2 hours

Step-by-step explanation:

Given : Working alone at their respective constant rates, machine A and machine B can fill a certain order in 3 hours and 6 hours, respectively.

Let t be the time taken by both of them working together.

Then, according to the question, we have

$\dfrac{1}{t}=\dfrac{1}{3}+\dfrac{1}{6}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{2+1}{6}\ \ [\because\ L.C.M. (3,6)=6]\\\\\Rightarrow\dfrac{1}{t}=\dfrac{3}{6}=\dfrac{1}{2}\\\\\Rightarrow t=2$

Hence, it will take 2 hours by the two machines .

7 0

3 years ago

PLEASE HELP!!!!

Black_prince [1.1K]

Answer:

The probability that you would choose a green candy: $\frac{45}{139}$ or approximately 32%.

Step-by-step explanation:

The general form of probability can be calculated as the following fraction:

$\frac{number of desired outcomes}{total number of outcomes}$

First, to find the total number of outcomes, you need to add all of the candies together: 42 + 45 + 20 + 32 = 139, so there are 139 total outcomes. Since there are a total of 45 green candies, the probability of choosing green from the total can be written as:

$\frac{45}{139}$

Dividing the numerator by the denominator and multiplying by 100 gives us the percentage of approximately 32%.

5 0

3 years ago