A rectangular stage set up in a theater has an area of (15x^2+3x-12) square feet. Factor the polynomial completely.

Answers

Answer 1

Answer: 15x²+3x-12
=3(5x²+x-4)
=3(x²+x-20)
=3(x+5)(x-4)
=3(5x+5)(5x-4)
=3(x+1)(5x-4)

Related Questions

Find the value of x round to the nearest degree
Compute the sales tax on the following transactions. An article retails for $37.50. The city sales tax is 6%, and the federal excise tax is 8%. How much does the article cost altogether?
Sunglass World marks up its designer sunglasses 220%. The manufacturer charged Sunglass World $14.33 for a specific brand and model. What is the selling price of that pair of sunglasses at Sunglass World?
True or false? Help pls serious answers only
What is the product of (x + 3)(2x – 1)

The Americans with disabilities act requires that wheelchair ramps have a slope no greater than 1/12 what is the minimum horizontal length a 2 foot high ramp can have ?

Answers

The "slope" means how far you rise when you travel 1 unit horizontally.
"Steeper" means you rise higher for each horizontal distance ... more slope.
A slope of 1/12 means 12 horizontal units raise you one unit higher.
12 horizontal inches raise you 1 inch higher.
1 horizontal foot raises you 1 inch higher.
12 horizontal feet raises you 1 foot higher.

In order to rise 2 feet, you'd have to cover (2 x 12) = 24 horizontal feet
on a 1/12 slope.

"six less than the quotient of a number cubed and nine, increased by twelve" when n
=3

Answers

Answer:

Step-by-step explanation:

Make your equation:

((n^3/9)-6)+12

Substitute in 3 for n:

((3^3/9)-6)+12

Simplify and solve:

3^3=27

27/9=3

3-6=-3

-3+12=9

Answer:

Step-by-step explanation:

i got 100%

How many lines of symmetry does the letter S have?

Answers

The letter S in the alphabet does not have any lines of symmetry. Therefore, the answer to this question is: Zero (0). This is because letter S is not symmetrical when it is cut or divided into 2 parts.

Can u plz help me I don't understand

Answers

Answer:

Yes

Step-by-step explanation:

u multiply 10% and 84= 8.4

anything close to 84- 8.4

If PQ = 21 cm and QR = 5, then what are the possible lengths for PR so that PQ,QR and PR can form a triangle? Explain your reasoning

Answers

Please see the pic, I'd solved in it.

So we are given the measurements of two sides of a Triangle:
(write down the given to be clear)
PQ=21 cm
QR=5 cm
But one very important thing:
As Aman said, the length of PR would definitely not be greater than the sum of the other two sides/legs....
Why? Because then it gives a STRAIGHT LINE!
which means: PR will be less than that sum
PR<sum of PQ and QR
PR<21+5
PR<26
Time for Pythagoras Theorem!
We can now split it into Two ways, since we dont know if PR is just a leg or the hypotenuse of the triangle:
And therefore:
Assuming PR is a leg:
(PQ seems to be the larger number)
PQ²=PR²+QR²
21² =PR²+5²
21²-5²=PR²
√21²-5²=PR
20.396 cm=PR
≈20.4 cm
20.4≤PR<26 (which means it can be 20.4 as well, but not any lower as it is very obvious)
Assuming that PR is the hypotenuse:
PR²=PQ²+QR²
PR²=21²+5²
PR=√21²+5²
PR=21.587 cm≈ 21.6 cm
21.6≤PR<26
So basically, the length can be 21.6 itself or higher.

To paint a house, two painters are hired. The first painter can paint the house in ten hours. The second painter will need six hours to paint the entire house. If the two painters start painting at 8:00 am, at what time will they finish painting the house?

Answers

so
p1 can paint hours in 10 hours, so 1/10 house per 1 hour

p2 can paint house in 6 hours so 1/6 house per 1 hour

if both start at 8:00, when finish??
find how many hours they take

1 hour=p1+p2=1/10+1/6
just add 1/10 and 1/6 and see how many to get 1/1 house done
1/10+1/6=3/30+5/30=8/30=4/15
xhours times 4/15=1
multiply both sides by 15/4 to clear fraction
xhours =15/4
xhours=3 and 3/4

they take 3 and 3/4 hours aka 3 hours and 45 mins so
8:00+3:45=11:45

they finish at 11:45 AM

Other Questions

Consider f(x)=2|x|What is the rate of change over the interval 0≤x≤4?How is the rate of change over this interval related to the form of the function?

10 kilometers is about6 milesB6 feet10 feet60 feet

What type of line is the graph of x = −2?

Translate the sentence into an equation. Twice the sum of a number and 5 equals 8