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gtnhenbr [62]
3 years ago
15

Identify the independent variable (domain). 5x+2y= 150

Mathematics
1 answer:
Sidana [21]3 years ago
8 0

Answer:

The independent variable is x

Step-by-step explanation:

In the equation y = m x + b

  • m is the rate of change ⇒ constant
  • b is the initial value ⇒ constant
  • x is the domain ⇒ input
  • y is the range ⇒ output

x is the independent variable because it does not depend on any value

y is the dependent variable because it depends on the value of x

Let us solve the question

∵ 5x + 2y = 150

→ Put it in the form above by subtracting 5x from both sides

∵ 5x - 5x + 2y = 150 - 5x

∴ 2y = 150 - 5x

→ Divide each term by 2 to make the coefficient of y equal 1

∴ y = 75 - 2.5x

∴ y = -2.5x + 75

→ Compare is by the form above

∴ m = -2.5 and b = 75

∴ x is the independent variable (domain)

∴ y is the dependent variable (range)

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A rectangular rug has a perimeter of 20 feet. The length of the rug is 6 feet. What is the width of the rug in inches?
Alinara [238K]

Answer:

48 in

Step-by-step explanation:

The length of the rug is 6 feet. We know this must account for 2 sides of the rug, so let's multiply 6 by 2.

6 × 2 = 12

Now subtract 12 from 20.

20 - 12 = 8

Now divide 8 by 2 to find the measurement of the remaining two sides.

8 ÷ 2 = 4.

The width of the rug is 4 feet. The question wants to find the width in inches, however. So multiply 4 by 12 because there are 12 inches in each foot.

4 × 12 = 48

The width of the rug is 48 inches.

7 0
3 years ago
Could any one help me with this? And with explanation and who ever answers first gets brainliest answer​
ioda

Answer:

gonna solve fore perimeter and area

P = 12 + 3 + 3 + 9 + 9 + 4 + 4 + 4 = 48cm

P = 48 cm

For area or A it is

A = (12*3) + (4*9) = 72 cm^2

Step-by-step explanation:

use deductive reasoning to determine the missing side lengths, and then solve by splitting the figuring into multiple rectangles

5 0
2 years ago
Read 2 more answers
You are designing a container in the shape of a cylinder. The radius is 6 inches. You want the container to hold at least 324π c
goldfiish [28.3K]
Answer: 9 inches

Explaination: The volume of a cylinder, V = (πr^2)H, so H = V/(πr^2).

Using the parameters you specified, H = 324π/[(π)(6^2)] = 324π/36π = 324/36 = 9 inches
4 0
3 years ago
What is the scale factor to go from small triangle to the large triangle?
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Divide both numbers in one of the ratios by their highest common factor. This will give you the scale factor of the bigger triangle to the smaller triangle.
3 0
3 years ago
Consider the function f(x)=x3+6x2−20x+450.
Damm [24]

Answer:

Therefore reminder = 2802

Step-by-step explanation:

f(x)=x³+6x²-20x+450

x-12)x³+6x²-20x+450(x²+18x+196

      x³-12x²

    ____________________

          +18x²-20x+450

           18x²-216x

          _______________

                  196x +450

                  196x-2352

                 _____________

                            2802

Therefore reminder = 2802

6 0
3 years ago
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