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Ipatiy [6.2K]
3 years ago
9

Translate the following phrase into an algebraic expression. Do not simplify. Use the variable name x or y to describe the unkno

wn 4 divided by the sum of 4 and a number
Mathematics
1 answer:
sweet [91]3 years ago
8 0

Answer:

the algebraic expression for the phrase 4 divided by the sum of 4 and a number is \mathbf{\frac{4}{4+x}}

Step-by-step explanation:

Translate the following phrase into an algebraic expression.

We will use x to describe the unknown.

The phrase is:  4 divided by the sum of 4 and a number

The sum of 4 and a number can be written as: 4+x

4 divided by the sum of 4 and a number can be written into algebraic expression as: \frac{4}{4+x}

So, the algebraic expression for the phrase 4 divided by the sum of 4 and a number is \mathbf{\frac{4}{4+x}}

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12. (07.06 LC) A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x −
Goshia [24]

ANSWER

15 {x}^{2} + 22x - 5

EXPLANATION

It was given that, the length of the rectangular building is

(3x + 5) \: meters

and the width of the is

(5x - 1) \: meters

The area of a rectangular building is calculated using the formula for finding the area of a rectangle.

A = l \times w

Since the dimensions are given in terms of x, the area is also a function of x,

A(x) = (3x +5 )(5x - 1)

We expand to get,

A(x) = 3x(5x - 1) + 5(5x - 1)

A(x) = 15 {x}^{2}  - 3x + 25x - 5

A(x) = 15 {x}^{2} + 22x - 5

meters square

8 0
3 years ago
Question 1 of 40<br> If f(x) = 4x² - 6 and g(x) = x² - 4x-8, find (f- g)(x).
Aleksandr-060686 [28]

Answer:

\huge\boxed{\sf (f-g)(x) = 3x\² + 4x - 14}

Step-by-step explanation:

<h3><u>Given functions:</u></h3>
  • f(x) = 4x² - 6
  • g(x) = x² - 4x - 8
<h3><u>Solution:</u></h3>

Subtract both functions

(f-g)(x) = 4x² - 6 - (x² - 4x - 8)

(f-g)(x) = 4x² - 6 - x² + 4x - 8

Combine like terms

(f-g)(x) = 4x² - x² + 4x - 6 - 8

(f-g)(x) = 3x² + 4x - 14

\rule[225]{225}{2}

3 0
2 years ago
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Please help me with this question?
Softa [21]

Answer:

H

Step-by-step explanation:

5 - 26 = -21

7 0
2 years ago
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A 30-minute TV program consists of three commercials, each 2 1/2 minutes long, and four equal-length entertainment segments. How
Alexus [3.1K]
for one show it will be 23.1 minutes if you multiply 2.30 minutes by 3 and get 6.9 you subtract 6.9 from the 30 minutes and you should 23.1 minutes 
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3 years ago
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Shelby has a lemonade stand in her front yard. She has enough supplies to make a maximum of 192 ounces of lemonade. A large cup
AlexFokin [52]

Considering the capacity of each cup, the inequality that models the situation is:

D) 14x + 8y ≤ 192

  • A large cup holds 14 ounces of lemonade.
  • There are x large cups.
  • A small cup holds 8 ounces of lemonade.
  • There are y small cups.

From the bullet-point, the total amount that can be held is:

T = 14x + 8y

She has enough supplies to make a maximum of 192 ounces of lemonade, hence:

T \leq 192

14x + 8y \leq 192

Hence option D is correct.

To learn more about inequalities, you can take a look at brainly.com/question/25738340

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