25. Explain the Error Jeremy factored 144x? – 100 as follows:
144x2 100 = (12x + 10)(12x – 10)
= 2(6x + 5)(6x – 5)
What was his error? Correct his work.

Answers

Answer 1

Given:

Consider the expression is

[tex]144x^2-100[/tex]

Jeremy factored the given expression and his steps are given.

To find:

The error in his solution.

Solution:

We have,

[tex]144x^2-100[/tex]

It can be written as

[tex]=12^2x^2-10^2[/tex]

[tex]=(12x)^2-10^2[/tex]

[tex]=(12x+10)(12x-10)[/tex]             [tex][\because a^2-b^2=(a+b)(a-b)][/tex]

Taking out common factors from each parenthesis.

[tex]=2(6x+5)2(6x-5)[/tex]

[tex]=4(6x+5)(6x-5)[/tex]

So, Jeremy was incorrect because the common factor is [tex]2\times 2=4[/tex] instead of 2.

Therefore, Jeremy made his mistake in his last step.


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Answer:

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Answer:

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Answers

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Answer:

1,296

Step-by-step explanation:

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Mae has a number cube with 6 sides that are numbered 1 through 6. What is the probability that Mae will roll an odd number?
A
1 out of 3
B
1 out of 6
с
3 out of 6
D
5 out of 6

Answers

Answer:

C) [tex]P(E) = \frac{3}{6}[/tex]

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[tex]P(E) = \frac{3}{6}[/tex]

Step-by-step explanation:

Step(i):-

Given that Mae has a number cube with 6 sides that are numbered 1 through 6.

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Step(ii):-

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[tex]P(E) = \frac{3}{6}[/tex]

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7x^2 + 41x − 6

7x^2 + 43x − 6

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Answers

Answer:c

Step-by-step explanation:

Answer:

B: 7x2 + 41x − 6

Step-by-step explanation:

Use the FOIL method to multiply the two expressions.

(First Outer Inner Last)

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Answers

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Answers

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Answers

Answer:

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Answers

Answer:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

Step-by-step explanation:

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Answers

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Answers

Answer:

Step-by-step explanation:

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Answers

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Answers

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Answers

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Answers

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Answers

Answer:

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Answers

Answer:

Step-by-step explanation:

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