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.


Related Questions

I need to write an equation for the triangle and solve for x

Answers

You know that the sum of angles of line CX has to be 180 degrees. Therefore, because you know angle EDX equals 134 degrees, and 180-134= 46, you know that angle CDE equals 46 degrees. Because you know the 3 interior angles of a triangle equals 180 degrees, if you subtract 180 - 46 - 105 = 2x-13. This simplified is 29= 2x-13. Further simplified, 42=2x. Therefore x=21 degrees.

What hazard is present in this image?

Select the best option.


A mat that has upturned edges


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Answers

Answer:

spills on the floor

Step-by-step explanation:

there is liquid of some sort someone could slip and hurt themselves. hope this helps


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Please Help!!!!!!!!!

Answers

Answer:

x=17

Step-by-step explanation:

x+4+3x=72

4x+4-4=72-4

4x/4=68/4

x=17

Associative property of addition

Answer: x  =  17

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

The volume of a cylinder is 1767 cm and its height is 11 cm.
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Answers

Answer:

1778 cm

Step-by-step explanation:

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consider the two functions which statement is true?

Answers

Answer:

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Step-by-step explanation:

The answer is the rate of change for function A and Function B are the same!

If GEOM is a square, find m2GQE.

Answers

Answer:

90 is correct answer of it question

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16
16
X1
9
What is the area of the inner hexagon?

Answers

Answer:

38

Step-by-step explanation:

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Answers

6^4 is the same as 6x6x6x6
The answer is 1,296

Answer:

1,296

Step-by-step explanation:

I multiplied 6 four times.

The Texas Renaissance Festival charges an entrance fee of $10 and $0.50 per ticket for the rides. The State Fair of Texas charges an entrance fee of $16 and requires $0.25 per ticket for the rides. How many tickets must be bought in order for the total cost at The Texas Renaissance Festival to be the same as The State Fair of Texas?


a
8
b
24
c
16
d
12

Answers

10 + .50x = 16 + .25x
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Help pls question is the picture above :))))

Answers

It’s A,B,D hope this helps you!!

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Answers

Answer:

640

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Answers

Answer:

The independent variable (IV) is the amount of hamburgers

Step-by-step explanation:

The amount of hamburgers influence the sale amount.

Twice the difference of 1 and a number.

Answers

2(1-n) where n=a number

What is the measure of angle P?

Answers

Answer:

60

Step-by-step explanation:

step 1: 180°-130°= 50

step 2: 180-110= 70

step 3: 70+50= 120

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If 8x−5y=−3 is a true equation, what would be the value of 8x−5y+7?

Answers

Answer:

Value of 8x -5y + 7 is 4.

Step-by-step explanation:

Given that:

8x-5y = -3     Eqn 1

It is a true equation.

Now we have to find the value of the given expression

8x -5y + 7

Putting value of 8x-5y from Eqn 1 in the given expression

8x - 5y + 7

-3 + 7

4

Therefore,

8x - 5y + 7 = 4

Hence,

Value of 8x -5y + 7 is 4.

9. Factorize: 6x2 - 19x + 14.​

Answers

Answer:

Step-by-step explanation:

Here, we want to factor the given polynomial

We have this as;

6x^2 - 19x + 14

= 6x^2 -12x-7x + 14

= 6x(x-2) -7(x-2)

= (6x-7)(x-2)

6x^2-19x + 14 = (6x-7)(x-2)

−2(x + 9) + 25 = 14 − 3x
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Answers

Answer:

-2x+18+25=14-3x

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-2x+3x=14-25-18

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Answers

Answer:

Step-by-step explanation:

16. -73.5 ft / 3 min = -24.5 ft/min

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Answer:

16.-73.5÷3=-24.5 feet per minute

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What is the simplified form of the expression(x + 6)(7x − 1)?

8x^2 + 5

7x^2 + 41x − 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.

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Then, combine like terms.

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Juan received a bank account statement reporting the recent changes
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Answers

Answer:

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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.

n(S) = { 1,2,3,4,5,6,} = 6

Let 'E ' be the event of odd numbers

Mae will roll an odd number

n(E) = {1, 3, 5} = 3

Step(ii):-

The probability that Mae will roll an odd number

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

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

HELP ME PLS...................TY

Answers

Answer:

E

Step-by-step explanation:

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The cost to manufacture a hair clip is $0.50. With a markup of 200%, what is the selling price of this hair clip?

Answers

Answer:

Step-by-step explanation:

The cost to manufacture a hair clip is $0.50. With a markup of 200%, what is the selling price of this hair clip?

Given data

cost to manufacture a hair clip is $0.50

markup of 200%

Required

The selling price

We know that

Mark up percent= selling-cost/cost*100

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Answers

Answer:

A is 85 degrees

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Answers

Answer:

14cm

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Answers

Answer:

144

Step-by-step explanation:

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U
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Answers

Answer:

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Step-by-step explanation:

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60=5u

Divide both sides by 5 to solve for u but keep the equation balanced.

12=u

Answer:

the answer is 12

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Answers

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Step-by-step explanation:

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