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pav-90 [236]
2 years ago
5

There are 4 books on a shelf. books are added to the shelf at a rate of 2 books per minute. the total number of books on the she

lf, y, is a function of the number of minutes, x, that the books have been added to the shelf. write an algebraic equation for the function.
Mathematics
1 answer:
Bad White [126]2 years ago
6 0

The algebraic equation to represent the given situation is as follows,

y = 4 + 2x

What is an algebraic equation?

The term "algebraic equation" refers to a formulation of the equality of two expressions using the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extraction of a root on a set of variables.

An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, etc.).

Forming the Algebraic Equation

Number of book present on the shelf initially = 4

It is given that 2 books are added per minute to the shelf.

If x is the number of minutes, then the books added will be 2x.

If y is the total number of books present on the shelf, then the algebraic equation is given as,

y = Number of books initially present on the shelf  + 2x

⇒ y = 4 + 2x

Thus, y = 4 + 2x is the required algebraic equation.

Learn more about algebraic equation here:

brainly.com/question/953809

#SPJ4

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Options 2), 4), and 5) are correct

Step-by-step explanation:

<u>Rock the House Digital Designs</u>

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  • Cost = $(75h)

===========================

<u>Answer options:</u>

1)The expression 50h represents the total charge for Rock the House Digital Designs.

  • Incorrect. Additional $500 charged.

2)The expression 75h represents the total charge for Elegance Home Architects.

  • Correct

3)The expression 500 + 75h + 50h represents the total amount the Nelsons will spend working drawings of their new house plans.

  • Incorrect. They will choose one of the options.

4)If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.

  • Correct. It will cost 15*75 = $1125. Alternative costs 500 + 50*15 = $1250

5)If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.

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8 0
4 years ago
What is the square root of -1?
mojhsa [17]

Answer:

Step-by-step explanatidk

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4 0
3 years ago
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Determine which number has a greater magnitude."<br><br> 7 and -8
MariettaO [177]

Answer:

7

Step-by-step explanation:

-8 is a negative number for example if you have -8 and you wanna get it to 0 you add 8 you don't have to do that with 7 it's a "positive" number

3 0
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determine if the ordered pair is a solution of the equation is (2,4) a solution of y = 10 -3×? true or false​
anzhelika [568]

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False

Step-by-step explanation:

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7 0
4 years ago
Solve the equation for x^2=<br> 625
docker41 [41]

Answer:

x = ±25

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Multiple Roots

Step-by-step explanation:

<u>Step 1: Define</u>

x² = 625

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Square root both sides:                    x = ±25

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

x = -25

  1. Substitute in <em>x</em>:                    (-25)² = 625
  2. Exponents:                          625 = 625

Here we see that 625 does indeed equal 625.

∴ x = -25 is a solution to the equation.

x = 25

  1. Substitute in <em>x</em>:                    25² = 625
  2. Exponents:                          625 = 625

Here we see that 625 does indeed equal 625.

∴ x = 25 is a solution to the equation.

8 0
3 years ago
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