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KATRIN_1 [288]
3 years ago
10

The area of the rectangle is 80 square inches. the length of the rectangle is (2x) inches and width is (x-3).what is the value o

f X?
Mathematics
1 answer:
Verdich [7]3 years ago
4 0
  A = lw
80 = 2x(x - 3)
80 = 2x(x) - 2x(3)
80 = 2x² - 6x
  0 = 2x² - 6x - 80
  0 = 2(x²) - 2(3x) - 2(40)
  0 = 2(x² - 3x - 40)
  2               2
  0 = x² - 3x - 40
  0 = x² - 8x + 5x - 40
  0 = x(x) - x(8) + 5(x) - 5(8)
  0 = x(x - 8) + 5(x + 8)
  0 = (x + 5)(x + 8)
  0 = x + 5    or    0 = x + 8
- 5        - 5         - 8        - 8
 -5 = x      or      -8 = x

The values of x are -5 and -8.
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To solve this problem you must follow the proccedure shown below:

 1. You have the following information given in the problem above:

 - <span>Marta is making 3 servings of fruit salad.
 - Marta adds 3/8 cups blueberries for each serving.
 - Her measuring cup holds 1/8 cup.

 2. Then, you have:

 1 time----1/8 cup 
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 x= 3x8/1x8
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4 years ago
Using the LSRL model, estimate the volume of a gas 2.5, 4.5, and 6.5 atmospheres
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Answer:

Brett is working in the chemistry lab trying to determine if he can predict the volume of three different gases (nitrogen, oxygen, and carbon dioxide) based upon the pressure applied to them. He kept all other characteristics of the gases constant. Brett performed the following analysis:

9-60 Graph

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Hint (b):

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Using the LSRL model, estimate the volume of a gas at , and atmospheres. Use an appropriate precision.

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What is the slope of a line parallel to y =4x - 6?
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Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Y
Genrish500 [490]

We need to find two relations, and use them to find the value of y when z = 15.

We will see that the value of y in that case is 4,860.

We know that <u>y  varies inversely with the square of  x</u>, also <u>y  is also proportional to the cube of  z</u>

Then we can write:

y = k/x^2

y = c*z^3

We also know that:

When x = 3, y = 80.

Replacing that in the first equation to find the value of k:

80 = k/3^2

80 = k/9

80*9 = k = 720

We also know that when x = 2, z = 5

From the first relation we have:

y = 720/2^2 = 720/4 = 180

Now we replace this in the equation of y and z:

y = c*z^3

180 = c*5^3

180 = c*125

180/125 = c = 1.44

Now we need to calculate y when z = 15, then we just need to replace z by 15 in the equation for y and z:

y = 1.44*(15)^3 = 4,860.

If you want to learn more, you can read:

brainly.com/question/2548537

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3 years ago
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