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2 years ago

Factor this trinomial completely.

1 answer:

4 0

First you want to write 7x as a sum or difference: 15x-8x
Now, the expression would look like this: 10x^2+15x-8x-12
Next, factor out the 5x and -4 from the expression: 5x(2x+3)-4(2x+3)
Now, factor out the 2x+3 from the expression and you have your answer:
(2x+3)(5x-4)

You might be interested in

The length of a rectangle is 16 inches. if the width is 25% of its length, what is the perimeter of the rectangle

Leokris [45]

Answer:

Perimeter = 40 inches

Step-by-step explanation:

Length = 16 inches

Width = 25% of length (16)

= 25% of 16

25% = 1/4

Width = 1/4 x 16

= 4 inches

Length = 16 inches

Width = 4 inches

Perimeter of a rectangle = length + length + width + width:

= 16 + 16 + 4 + 4

= 32 + 8

= 40

PERIMETER = 40 inches

So glad I could help :)

4 0

3 years ago

8a-2b+12a-2a-4b<br><br> show how to simplify the expression. Write the answer the factored form

Trava [24]

$8a-2b+12a-2a-4b=8a+12a-2a-2b-4b=18a-6b$

5 0

2 years ago

Read 2 more answers

A cylinder with a radius of 12cm and a height of 20cm has the same volume as a cone with a radius of 8cm. What is the height of

ivanzaharov [21]

Answer: 135cm

Step-by-step explanation

Volume of a cylinder = πr²h

Volume of a cone. = 1/3πr²h

The two shapes are both solid shapes.

Since the have same volume, we can then equate the two together and solve for the height of the cone.

Now make H the height and R the radius of the cylinder and h the height and r the radius of the cylinder.

Now equating the two

πR²H = 1/3πr²h

Now substitute for the values now

Multiply through by 3

3πR²H = πr²h

But π is common so it could be obliterated from the equation

3R²H = r²h

3 x 12² x 20 = 8² x h

3 x 144 x 20 = 64 x h

60 x 144 = 64h

8640. = 64h

Therefore

h = 8640/64

= 135cm

8 0

2 years ago

PLS HELP WILL MARK U BRAINLIEST!! NO FAKE ANSWERS

erica [24]

Answer:

$\huge\boxed{\sf 3(n + 5) \leq 100}$

Step-by-step explanation:

The sum of a number n and 5 => n + 5

Thrice the sum of a number n and 5 => 3(n + 5)
At most means "less than or equal to", the sign of which is "≤"

<u>So, the inequality will be:</u>

3(n + 5) ≤ 100

$\rule[225]{225}{2}$

Hope this helped!

6 0

2 years ago

The city planning committee wants one tree planted every 20 ft along Dayton Ave. if the perimeter of the plot of land is 234 ft

Vladimir [108]

Answer:

2 trees

Step-by-step explanation:

Since the city is planting a tree every 20 feet across Dayton Avenue, then we need to find the length of the side that is on Dayton Avenue.

We are missing 3 sides to this. But it's extremely important to note that the side adjacent to Dayton Avenue is the same length as the other missing two sides combined. This is because both of these lengths contain the 1 feather and 2 feather mark - these signify congruence.

This means that the side lengths of both of them combined will be $234-52-68=114$

This means the side adjacent to Dayton Avenue is

$114\div2=57$ feet long.

Now that we know that the side is 57 feet long, we have to divide this by 20, as a tree is being placed every 20 feet. If we get a decimal, we will have to round down because it gets planted only, and only if, 20 more feet has been accomplished. If we are a fraction of the way there, a tree doesn't get planted.

$57\div20=2.85$

Rounding down gets us 2.

Hope this helped!

3 0

2 years ago

Read 2 more answers