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telo118 [61]
2 years ago
9

Way to factor the expression 32t – 48.

Mathematics
2 answers:
KiRa [710]2 years ago
8 0

Answer:

(16) and (2t - 3)

Step-by-step explanation:

32t - 48

16 (2t - 3)

Romashka-Z-Leto [24]2 years ago
5 0

Hi!

I can help you with joy!

  • To factor expressions, search for the common factor and factor it out.
  • Remember, factoring is the opposite of distributing.
  • Distributing looks like so:
  • a(b+c)=ab+ac
  • Factoring looks like so:
  • ab+ac=a(b+c)
  • Now, let's factor this expression.
  • The common term here is 8.
  • Factor 8 out:
  • 32t-48
  • 8(4t-6)

<u>Answer:</u>

8(4t-6)

Hope it helps.

Do comment if you have any query regarding my answer.

~Misty~

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Find one of the solutions to the following absolute value equation:<br> 26 + 4) = 48
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Answer : MAYBE 18 (?)
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Explanation: you always solve what’s is parentheses “( )” first so then you get the equation
30 = 48
Then ( this is the part I’m not sure about)
You subtract 30 out that means 30-30=0 & 48-30 = 18 so that’s where I found my answer but idk I haven’t done absolute value since Algebra 1 !!
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120-2x=30, what’s x?
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Step-by-step explanation:

-2x=30-120

-2x = -90

=x = -90/-2

=x = +45

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3 years ago
Graph ​ y=4/7x−2 ​. Use the line tool and select two points on the line.
Lynna [10]

Answer:

Given equation of the line,

y=\frac{4}{7}x-2

If x = 0,

y=\frac{4}{7}(0) - 2=0-2=-2

Thus, the line intercepts y-axis at (0,-2)

If y = 0,

0=\frac{4}{7}x-2\implies 2=\frac{4}{7}x\implies x=\frac{14}{4}=3.5

Thus, the line intercepts x-axis at (3.5,0)

By joining these two points in the graph,

We will get the graph of the given line ( shown below )

4 0
3 years ago
The distribution of resistance for resistors of a certain type is known to be normal, with 10% of all resistors having a resista
baherus [9]

Answer:

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

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.

10% of all resistors having a resistance exceeding 10.634 ohms

This means that when X = 10.634, Z has a pvalue of 1-0.1 = 0.9. So when X = 10.634, Z = 1.28.

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

1.28 = \frac{10.634 - \mu}{\sigma}

10.634 - \mu = 1.28\sigma

\mu = 10.634 - 1.28\sigma

5% having a resistance smaller than 9.7565 ohms.

This means that when X = 9.7565, Z has a pvalue of 0.05. So when X = 9.7565, Z = -1.96.

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

-1.96 = \frac{9.7565 - \mu}{\sigma}

9.7565 - \mu = -1.96\sigma

\mu = 9.7565 + 1.96\sigma

We also have that:

\mu = 10.634 - 1.28\sigma

So

10.634 - 1.28\sigma = 9.7565 + 1.96\sigma

1.96\sigma + 1.28\sigma = 10.645 - 9.7565

3.24\sigma = 0.8885

\sigma = \frac{0.8885}{3.24}

\sigma = 0.2742

The mean is

\mu = 10.634 - 1.28\sigma = 10 - 1.28*0.2742 = 9.65

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

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Sphinxa [80]
7 and 8 because 52 is between 49 and 64
8 0
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