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Andrews [41]
3 years ago
7

Solve for the x using elimination 3x-2y=13x−2y=1 2x+2y=42x+2y=4

Mathematics
1 answer:
Nikitich [7]3 years ago
7 0

3x - 2y = 1

2x + 2y = 4

Add the second equation to the first

5x     = 5

2x + 2y = 4

Divide the first equation by 5

x        = 1

2x + 2y = 4

Subtract the first equation from the second

x        = 1

x + 2y = 3

Subtract the first equation from the second again

x        = 1

   2y = 2

Divide the second equation by 2

x        = 1

      y = 1

<h3>So, the solution is  x = 1  and  y = 1  {or: (1, 1)} </h3>
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Answer:

C. y=36(1.2)t

Step-by-step explanation:

The number of members in the Club in t years after 2001 is given by an equation in the following format:

y = y(0)(1+r)^{t}

In which y(0) is the number of members in 2001 and r is the growth rate, as a decimal.

The number of members in the Triathlon Club was 36 in 2001 and has increased by 20% each year.

This means that y(0) = 36, r = 0.2

So

y = y(0)(1+r)^{t}

y = 36(1+0.2)^{t}

y = 36(1.2)^{t}

The correct answer is C.

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The volume of a rectangular prism is 2x^3 - 6x^2 + 8x , and the volume of a cube is 27x^3. What is the total volume of the prism
AleksAgata [21]

Answer:

\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x

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

<u>Algebra I</u>

Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

<em />\displaystyle V_P = 2x^3 - 6x^2 + 8x<em />

<em />\displaystyle V_C = 27x^3<em />

<em />

<u>Step 2: Find Combined Volume</u>

  1. [Set up] Add:                                                                                                     \displaystyle V_P + V_C = V_{P + C}
  2. Substitute in variables:                                                                                    \displaystyle V_{P + C} = 27x^3 + 2x^3 - 6x^2 + 8x
  3. Combine like terms:                                                                                        \displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x
8 0
2 years ago
What is the value of x if AP and BP are tangent segments <br> AP = 10x - 15 and BP = 7x + 3
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If AP and BP are tangent segments connected outside of the circle at point "P" then <span>AP = BP so,
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8 0
3 years ago
A rectangular poster is 3 times as long as it is wide. A rectangular banner is 5 times a long as it is wide. Both the banner and
deff fn [24]

Answer:

The answer to your question is

a) Poster             width = 3 in

                            lenght = 9 in

b) banner

                           width = 2 in

                           lenght = 10 in

Step-by-step explanation:

a) For the poster

   width = x

   lenght = 3x

Perimeter of a rectangle = 2base + 2 height

                                         = 2(x) + 2(3x) = 24

                                         2x + 6x = 24

                                         8x = 24

                                           x = 24/8

                                           x = 3

    width = 3 in

     lenght = 3(3) = 9 in

b) For the banner

    width = y

    lenght = 5y

Perimeter of a banner = 2 base + 2 height

                                        2 (y) + 2(5y) = 24

                                        2y + 10y = 24

                                        12y = 24

                                           y = 24/12

                                           y = 2

     width = 2 in

     lenght = 5(2) = 10 in

7 0
3 years ago
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