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xenn [34]
3 years ago
13

Micah was asked to add the following expressions: 3x2−x−9x2+3x+2+−2x2+2x+5x2+3x+2 First, he combined like terms in the numerator

and kept the common denominator. x2+x−4x2+3x+2 Next, he simplified the expression by canceling the like term, x2. His final, simplified answer was: x−43x+2 Did Micah add the expressions correctly? Explain your answer using complete sentences.
Mathematics
1 answer:
shtirl [24]3 years ago
5 0

Micah was asked to add the following expressions:

\frac{3x^2-x-9}{x^2+3x+2} + \frac{-2x^2+2x+5}{x^2+3x+2}

First, he combined like terms in the numerator and kept the common denominator

First step is correct. He added the like terms in the numerator, because the denominators are same.

3x^2 -x -9 -2x^2+2x+5becomes x^2 +x -4

So he got , \frac{x^2+x-4}{x^2+3x+2}

In the next step, he cannot cancel out x^2 from the top and bottom . Because x-4 and 3x+2  are added with x^2

If we have x^2 is multiplied with other terms at the top and bottom , then we can cancel out x^2.

So Micah added the expression incorrectly. Final answer is not correct.

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3 years ago
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Pls help asap, find the height of the cylinder and round to the nearest tenth
Elena L [17]

Answer:

h = 2.4

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

271.4 = pi ( 6)^2 *h

271.4 = 36* pi* h

Letting 3.14 = pi

271.4 = 113.04 h

Divide each side by 113.04

271.4 /113.04 = 113.04h/113.04

2.424805379 = h

Rounding to the nearest tenth

2.4 = h

OR if we use the pi button

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Divide each side by 36 pi

271.4/36pi = h

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Rounding to the nearest tenth

h =2.4

3 0
2 years ago
Colin buys a tv for £530. It depreciates at a rate of 3% per year. How much will it be worth in 5 years? Give your answer to the
rodikova [14]

Answer: In 5 years it will be worth £455

Step-by-step explanation:

Step 1

Given

The cost of the T.V. for Colin = £530.

The rate of depreciation per year = 3%

Time/ period = 5 years

Formulae to be used

F = P  X (1 - r) ^ n

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F = the future value after depreciation

P = the present value.

r =the interest rate per time period

n = the time/ periods

Step 2--- SOLVING

F = P  X (1- r) ^ n

F= 530 x (1-0.03) ^ 5

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=£455.129

Rounding up to the nearest penny where appropriate = £455

3 0
2 years ago
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sertanlavr [38]

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In the given situation , 784 adults are selected after their telephone numbers were randomly generated by a​ computer.

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3 years ago
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