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Bumek [7]
2 years ago
10

Simplify expressions 2y(y+3)+4y(y-1)

Mathematics
2 answers:
svlad2 [7]2 years ago
6 0
Answer:

6y^2+2y

Step by step explanation:

2y*(y+3)+4y*(y-1)

Distribute 2y through the parentheses

2y^2+6y+4y*(y-1)

Distribute 4y through the parentheses

2y^2+6y+4y^2-4y

Collect like terms

6y^2+6y-4y

Collect like terms

6y^2+2y

Answer

6y^2+2y



Keith_Richards [23]2 years ago
5 0

Answer:

6y² + 2y

Step-by-step explanation:

Use distributive property:a*(b+c) =a*b + a*c

2y(y + 3) + 4y(y -1) =2y*y + 2y*3 + 4y*y - 4y*1

                             = 2y² + 6y + 4y² - 4y

                             = 2y² + 4y² + 6y - 4y      {Combine like terms}

                             = 6y² + 2y

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Answer:

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Step-by-step explanation:

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3 years ago
Carol is building a screen door. The height of the door is one foot more than twice its width. What is the width of the door if
Arte-miy333 [17]
Hello,

A good method for solving this question is creating an equation to solve for the width of the door.

Let w = the width of the door
Let h = the height of the door

The height (h) is twice the width (2w) and one foot more (+1).
We can make the equation h = 2w + 1

Now, we are given that the height of the door is 7 feet, so h = 7.
We can simply plug in 7 for h in the equation to solve for w. 

So, we have h = 2w + 1
7 = 2w + 1
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6 = 2w
Divide by 2 on both sides to get:
w = 3

The width of the door is 3 feet.

However, we should check out answer with the given question to make sure it checks out.

We are given that the height of the door is one foot more than twice its width, and the height of the door is 7 feet.

Twice the width is 6 feet, and one foot more than that is 7 feet. Our answer checks out.

The width of the door is 3 feet.

Hope this helps!

6 0
3 years ago
Maple Grove wants to include two typesof maple trees, the namesake of thecity, for their parks. Two varieties ofmaple trees have
blsea [12.9K]
X = number of $85 trees, y = number of $95 trees

Logically, we can construct the expression 85x + 95y to represent how much Maple Grove spends on their trees in total. They want this cost to be less than or equal to $95,000. This means that the inequality has to be 85x + 95y ≤ 95000, either choice a or b. Since the community wants more $95 trees, they want y to be greater than or equal to x. 

This means choice b: 85x + 95y ≤ 95000<span>, x</span>≤y is your answer.

Hope this helps!
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3 years ago
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olya-2409 [2.1K]

Answer:

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Step-by-step explanation:

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Lunna [17]

Answer:

15/56

Step-by-step explanation:

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15/56

6 0
3 years ago
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