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Luden [163]
2 years ago
15

Solve for x . 3(2 x - 3) + 4(2 - x ) = 0 17/10 -17/10 1/2

Mathematics
1 answer:
fiasKO [112]2 years ago
7 0

Answer:

x = \frac{1}{2}

Step-by-step explanation:

3(2x - 3) + 4(2 - x)  = 0 ← distribute parenthesis

6x - 9 + 8 - 4x = 0 , that is

2x - 1 = 0 ( add 1 to both sides )

2x = 1 ( divide both sides by 2 )

x = \frac{1}{2}

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Answer:

OPTION 2 IS THE CORRECT ANSWER

Step-by-step explanation:

ITS SIMPLE  HOPE U GET IT

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Read 2 more answers
A triangular prism has an equilateral base with side length x inches. The height of the prism is four times as long as the side
crimeas [40]

The area of the prism is 12x² inches². Thus, the correct option is B.

<h3>What is a triangular prism?</h3>

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

For a prism, the lateral sides of a prism are made up of rectangles which consist of the height and the length of the base. Therefore, a triangular prism has an equilateral base with a side length x inches. The height of the prism is four times as long as the side length. The lateral area will be,

Lateral Area = 3(x×4x) = 12x² inches²

Hence, the area of the prism is 12x² inches². Thus, the correct option is B.

Learn more about the Lateral surface area of triangular prisms:

brainly.com/question/15434771

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5 0
2 years ago
Select the quadratic equation that has roots x=8 and x=-5
stellarik [79]

Step-by-step explanation:

Since, x=8 and x=-5 are the roots.

Therefore, (x - 8) & (x - 5) will be factors.

Hence, required quadratic equation can be given as:

(x - 8)(x - 5) =0 \\  \\  \therefore  {x}^{2}  + ( - 8 - 5) x+ ( - 8) \times ( - 5) = 0 \\  \\ \therefore  {x}^{2}  + ( - 13) x+ 40= 0  \\  \\ \huge \red{ \boxed{ \therefore  {x}^{2}  - 13x+ 40= 0 }} \\ is \: the \: required \: quadratic \: equation.

5 0
3 years ago
2 A chef planning for a large banquet
fiasKO [112]

Answer:

320

Step-by-step explanation:

2 out of 5 is the ratio 2/5.

We want the denominator to become 800.

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\dfrac{2}{5} = \dfrac{2 \times 160}{5 \times 160} = \dfrac{320}{800}

Since 2/5 = 320/800, he will need to prepare 320 cups of soup.

8 0
3 years ago
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