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Fed [463]
3 years ago
10

Choose the expression that shows P(x)=x^3 + 5^2 + 11x + 10 as a product of two factors.

Mathematics
1 answer:
KatRina [158]3 years ago
6 0

Answer:

The correct answer is D

Step-by-step explanation:

You can find the correct answer just by looking at what the first term would end up being.

The first three, if you expanded them, would all have the starting term 2x³, which does not match the result unless the two is factored out.  Only the last one would end up with the correct x³ as its first term.

Let's expand it to see if we're right:

(x + 2)(x² + 3x + 5)

= x³ + 3x² + 5x + 2x² + 6x + 10

= x³ + 3x² + 11x + 10

And that's a match, so the correct answer is D

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Enter an equation for the line
mafiozo [28]

Answer:

y = -1/3x+0

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
For a medical study, a researcher wishes to select people in the middle 60% of the population based on blood pressure.
Finger [1]

Answer:

Lower limit: 113.28

Upper limit: 126.72

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 120, \sigma = 8

Middle 60%

So it goes from X when Z has a pvalue of 0.5 - 0.6/2 = 0.2 to X when Z has a pvalue of 0.5 + 0.6/2 = 0.8

Lower limit

X when Z has a pvalue of 0.20. So X when Z = -0.84

Z = \frac{X - \mu}{\sigma}

-0.84 = \frac{X - 120}{8}

X - 120 = -0.84*8

X = 113.28

Upper limit

X when Z has a pvalue of 0.80. So X when Z = 0.84

Z = \frac{X - \mu}{\sigma}

0.84 = \frac{X - 120}{8}

X - 120 = 0.84*8

X = 126.72

4 0
3 years ago
Item cash car (paid off) credit card debt motorcycle debt savings
MrMuchimi

Answer:

B

Step-by-step explanation:

add his cash,car that's paid off,and his savings.

=6,015.52

then you add his credit card debt and motorcycle debt together

=1,797.98

subtract the two.

6,015.52

-

1,797.98

=

his net worth total is 4,217.54

8 0
3 years ago
Christopher can eat 8 bags of skittles in 5 minutes. What is his rate per minute? Round your answer to the nearest hundredth. At
Dennis_Churaev [7]
<span>8/5 = 1.6 bag per minute

8 bags of skittles in 5 minutes
?                              10 minutes

8 x 10 / 5 
= 80 /5
= 16

answer
</span>1.6 bag per minute
<span>and
16 bags in 10 minutes</span>
7 0
4 years ago
What is the change of entropy for a heat engine using 500.0j at 20.0c
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1.71 J/K 
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4 years ago
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