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77julia77 [94]
2 years ago
8

Which choice represents the expression below as a single exponential

Mathematics
1 answer:
Lostsunrise [7]2 years ago
4 0

Answer:

D

Step-by-step explanation:

When multiplying numbers with the same base but different exponents, add the exponents together.

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Express x^2+4x-7 in the form (x+a)^2-b where a and b are integers
lukranit [14]

Answer:

(x + 2)^2 - 11.

Step-by-step explanation:

f(x) = x^2 + 4x - 7

Now x^2 + 4x = (x + 2)^2 - 4 so we have:

f(x) = (x + 2)^2 - 4 - 7

f(x) = (x + 2)^2 - 11.

4 0
3 years ago
Perform the requested operation or operations. f(x) = x-5/8 g(x) = 8x + 5 find g(f(x))
NARA [144]
Just to confirm is it x-5/8 or (x-5)/8
5 0
3 years ago
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Find the sum of 5m + 3n + p, -5p + 3n, and 2n - m
tigry1 [53]
<span>5m + 3n + p -5p + 3n + 2n - m
= 4m + 8n - 4p (combine like terms)

hope it helps</span>
7 0
3 years ago
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A cake weighs 225g and is shared equally between five people. what weight of cake does each person receive?
cluponka [151]

Step-by-step explanation:

\frac{225g}{5}  = 45

which means each person receive 45g cake

8 0
3 years ago
Suppose that replacement times for washing machines are normally distributed with a mean of 9.4 years and a standard deviation o
Nezavi [6.7K]

Using the normal distribution, it is found that the replacement time that separates the top 18% from the bottom 82% is of 11.23 years.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are, respectively, given by \mu = 9.4, \sigma = 2.

The desired value is the 82nd percentile, which is X when Z = 0.915, hence:

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

0.915 = \frac{X - 9.4}{2}

X - 9.4 = 0.915(2)

X = 11.23

The replacement time that separates the top 18% from the bottom 82% is of 11.23 years.

More can be learned about the normal distribution at brainly.com/question/24663213

6 0
2 years ago
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