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sp2606 [1]
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:
Natalka [10]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+5 becomes 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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What is the trigonometric ratio for sin C ?<br><br> Enter your answer, as a simplified fraction.
Contact [7]
By definition we have to:
 Sin (x) = C.O / h
 Where,
 x = angle
 C.O = opposite leg
 h: hypotenuse.
 Substituting values we have:
 Sin (C) = AB / 82
 We should look for AB. For this, we use the following relationship:
 AB ^ 2 + 80 ^ 2 = 82 ^ 2
 Clearing AB:
 AB = root ((82 ^ 2) - (80 ^ 2))
 AB = 18
 Substituting we have:
 Sin (C) = 18/82
 Simplifying:
 Sin (C) = 9/41

 Answer:
 
the trigonometric ratio for sin C is:
 Sin (C) = 9/41
5 0
3 years ago
96.3 cm measured to the nearest tenth of a cm
rjkz [21]

Answer:

96.3 cm measured to the nearest tenth of a cm is 100 cm

3 0
2 years ago
Find the range from 4 to -2 A. 2 B. 4 C. 6 D.-2
Scilla [17]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ The range is the highest value minus the smallest value

Therefore, you just need to subtract the two values to find the values:

-2 - 4 = -6

The difference is just 6, so your answer is C. 6

<h3><u>✽</u></h3>

➶ Hope This Helps You!

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7 0
3 years ago
Read 2 more answers
Plz, help me with this question?
quester [9]

divide both sides by 7 to get x alone

84/7 = 12

B.12

4 0
2 years ago
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9.2 An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a sta
VladimirAG [237]

Answer:

765,795 = 96%

Step-by-step explanation:

confidence interval = 0.04  

The Za/2 theorem = 1/2 = 0.04/2 = 0.02= /x = 720z

If ; 0.02 = 2.05  then the interval is 780-2.05 x 40/√30 x 780+2.05 x 30/√30 = 765,795 = 96%

We see 40/ √30 which is found in equation of finding the sample mean at point /x = 720z

σ 40/ n√30 = 7.3029674334 and is simply a fraction of /x 720z

By normal distribution we find

The 96% confidence interval for the population mean of all bulbs = 765,795

As 765, x 1.04 = 795 = 765, 795

To find Sampling mean.

The Sampling Distribution of the Sample Mean. If repeated random samples of a given size n are taken from a population of values for a quantitative variable, where the population mean is μ (mu) and the population standard deviation is σ (sigma) then the mean of all sample means (x-bars) is population mean μ (mu).

Confidence Level z*-value

80% 1.28

90% 1.645 (by convention)

95% 1.96

96% 2.05

98% 2.33

99% 2.58

3 0
3 years ago
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