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White raven [17]
2 years ago
15

3x^2-17x- 20 and 100=3x^2-17x-20 needed to simplify and find the X if its equal to 100

Mathematics
1 answer:
Vesnalui [34]2 years ago
4 0

Answer:

Factor 3x^2-17x-20, and you get (x + 1)(3 x - 20)

x = 17/6 + sqrt(1729)/6, x = 17/6 - sqrt(1729)/6

Step-by-step explanation:

Factor 3x^2-17x-20, and you get (x + 1)(3 x - 20)

When 3x^2-17x-20 is equal 100

3x^2-17x-20=100

Subtract both sides by 100

3x^2-17x-120=0

Use the quadratic formula

x = 17/6 + sqrt(1729)/6, x = 17/6 - sqrt(1729)/6

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3 years ago
The length of a rectangle is 3 times longer than its width. If the area of the rectangle is 24 square inches, then what is the p
NikAS [45]

Answer:  The answer is 16√2 cm.


Step-by-step explanation:  Given that there is a rectangle with length 3 times than its width. We are to find the perimeter of the rectangle.

Let 'w' represents the width of the rectangle.

Then, its length will be 3w.

Also, area of the rectangle = 24 square inches.

Therefore,

3w\times w=24\\\\\Rightarrow 3w^2=24\\\\\Rightarrow w^2=8\\\\\Rightarrow w=2\sqrt 2.

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4 0
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Read 2 more answers
What steps should be taken to calculate the volume of the prism? Select three options. A rectangular prism with a length of 9 an
fgiga [73]

The steps to be taken to determine the volume of the rectangular prism are:

Use A = bh to find the area of the base.

Use V = Bh to find the volume of the prism.

Volume of the prism, V = (228)(6) = 1,368 feet cubed.

<h3>How to Find the Volume of a Rectangular Prism?</h3>

A rectangular prism has a height, base, and width. The volume of the rectangular prism can be found by using the following steps:

  • Find the base area of the rectangular prism using the formula, A = bh, where b is the base length and h is the height of the base.
  • Then, find the Volume using the formula, V = Bh, where B is the base area and h is the height of the prism.

Parameters are:

Length of prism = 9 and one-half feet,

Width of prism = 24 feet,

Height of prism = 6 feet

Given the dimensions of the rectangular prism above, do the following:

Find the area of the base of the rectangular prism:

Area of base = (9 1/2)(24) = 228 cm²

Find the Volume of the prism using V = Bh :

Volume of the prism = (228)(6) = 1,368 feet cubed.

Therefore, the steps to be taken to determine the volume of the rectangular prism are:

  • Use A = bh to find the area of the base.
  • Use V = Bh to find the volume of the prism.
  • Volume of the prism, V = (228)(6) = 1,368 feet cubed.

Learn more about volume of the rectangular prism on:

brainly.com/question/12917973

#SPJ1

3 0
2 years ago
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