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Alekssandra [29.7K]
2 years ago
13

2.) 3(10x + 9) - 9(3x - 5) SHOW WORK PLEASE

Mathematics
2 answers:
BigorU [14]2 years ago
6 0

Answer:

Let's simplify step-by-step.

3(10x+9)−9(3x−5)

Distribute:

=(3)(10x)+(3)(9)+(−9)(3x)+(−9)(−5)

=30x+27+−27x+45

Combine Like Terms:

=30x+27+−27x+45

=(30x+−27x)+(27+45)

=3x+72

avanturin [10]2 years ago
5 0

Answer:

3x+72

Step-by-step explanation:

Let's first simplify the equation 3(10x+9)−9(3x−5)

You want to distribute first

=(3)(10x)+(3)(9)+(−9)(3x)+(−9)(−5)

=30x+27+−27x+45

And then combine like terms:

=30x+27+−27x+45

=(30x+−27x)+(27+45)

=3x+72 (answer)

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What is the simplest form of (5x+2)(5x-2)
MatroZZZ [7]

Answer:

 

Step-by-step explanation:

6 0
2 years ago
Which expression does not factor?<br><br> m3 + 1<br> m3 – 1<br><br> m2 + 1<br><br> m2 – 1
Luda [366]

Answer:

m^2 +1

Explanation:

All the other expressions can be factorized. Let's see why:

1) m^3 +1

This is the sum of the cubes, and this can be factorized as follows:

a^3+b^3=(a+b)(a^2-ab+b^2)

In this case, a=m and b=1, so we can factorize as

m^3+1=(m+1)(m^2-m+1)

2) m^3-1

This is the difference between two cubes, and this can be factorized as follows:

a^3-b^3=(a-b)(a^2+ab+b^2)

In this case, a=m and b=1, so we can factorize as

m^3-1=(m-1)(m^2+m+1)

3) m^2-1

This is the difference between two square numbers, and it can be factorized as follows

(a^2-b^2)=(a+b)(a-b)

In this case, a=m and b=1, so we can factorize as

m^2-1=(m+1)(m-1)

4 0
3 years ago
Read 2 more answers
A psychologist takes an SRS of 404040 people in their twenties and 606060 people in their fifties and surveys them about their a
Leto [7]

Answer: Approximately normal, because we expect 19.2 successes and 20.8 failures from people in their twenties, and 16.8 and 43.2 from people in their fifties, and all of these counts are at least 10.

Step-by-step explanation:

3 0
2 years ago
5<br> Subtract. Write the expression below in simplest form.<br> (6x-2)-(-x+5)
son4ous [18]
<h3>Answer:  7x-7</h3>

===========================================

Work Shown:

(6x-2)-(-x+5)

6x-2+x-5

(6x+x)+(-2-5)

7x-7

When distributing the negative, don't forget to apply the negative to every term inside the parenthesis. So that means -x flips to x, while +5 flips to -5.

7 0
3 years ago
The area between z = 1.74 and z = 1.25<br> Round your answer to three decimal places.
balu736 [363]

Answer:

The area between z = 1.74 and z = 1.25 is of 0.065.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

The area between two values of Z is given by the subtraction of the pvalue of the larger value by the smaller.

The area between z = 1.74 and z = 1.25.

This is the pvalue of z = 1.74 subtracted by the pvalue of z = 1.25.

z = 1.74 has a pvalue of 0.959

z = 1.25 has a pvalue of 0.894

0.959 - 0.894 = 0.065

The area between z = 1.74 and z = 1.25 is of 0.065.

5 0
3 years ago
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