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nadya68 [22]
2 years ago
7

The volume of a rectangular prism is given by the expression10x3 + 46x2 – 21x – 27. The area of the base of the prism is given b

y the expression 2x2 + 8x – 9. Which of the following expressions represents the height of the prism? (V = Bh)
a. 8x - 3

b. 3x - 5

c. 5x + 3

d. 42x + 3
Mathematics
2 answers:
kondor19780726 [428]2 years ago
8 0
H = V / B
<span>= 10x3 + 46x2 – 21x – 27 /  2x^2 + 8x - 9
</span>= 5x + 3
azamat2 years ago
6 0

Answer

option (c) is correct .

To proof

Reason

Formula

Volume of the rectangular prism = Base × Height

The expression is in the Question be

10x ³ + 46 x² - 21x -27

And the  area of the base of the prism is given by the expression

2x² + 8x - 9 .

Put in the formula

10x ³ + 46 x² - 21x -27  = 2x² + 8x - 9  × Height

The factor of 10x ³ + 46 x² - 21x -27 are (5x +3 )(2x² + 8x - 9) .

put in the formula

(5x +3 )(2x² + 8x - 9) = (2x² + 8x - 9) × Height

Cancelled 2x² + 8x - 9 on both side.

(5x+3)unit = Height

Hence proved

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First we need to calculate annual withdrawal of each investment
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Now solve for the first investment
PMT=28,000÷((1−(1+0.058)^(−4))
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Hope it helps!
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Paul has just enough money to buy either 5 erasers and 30 pencils or 10 erasers and 24 pencils. Each eraser costs $0.30. How muc
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Which of the following is a correct way to measure productivity? a. Divide the number of hours worked by the quantity of output.
11111nata11111 [884]

Answer:

b. Divide the quantity of output by the number of hours worked.

Step-by-step explanation:

<em>Since the ratio of the number of output to the number of hours worked shows the productivity. </em>

Thus, option (b) is correct.

Productivity is used to converting inputs into useful output. It measures the efficiency of a person, system, machine, factory, etc.

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Q1: Identify the graph of the equation and write an equation of the translated or rotated graph in general form.
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Answer:

C. hyperbola; 9x^2-25y^2-250y-850=0

Step-by-step explanation:

The given conic has equation:

9x^2-25y^2=225

Divide through by 225.

\frac{9x^2}{225}-\frac{25y^2}{225}=\frac{225}{225}

\frac{x^2}{25}-\frac{y^2}{9}=1

This is a hyperbola centered at the origin.

The hyperbola has been translated from the origin to (0,5).

The translated hyperbola will have equation;

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Multiply through by 225.

9(x-0)^2-25(y-5)^2=225

Expand

9x^2-25(y^2-10y+25)=225

9x^2-25y^2+250y-625=225

Rewrite in general form;

9x^2-25y^2+250y-625-225=0

9x^2-25y^2+250y-850=0

3 0
2 years ago
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