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 help what is the diameter of this circle?​

Answers

Answer:

14cm

Step-by-step explanation:

the diameter is 2x the radius

The full distance from side to side, or radius multiplied by 2!

Help pls question is the picture above :))))

Answers

It’s A,B,D hope this helps you!!

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

8x^2 + 5

7x^2 + 41x − 6

7x^2 + 43x − 6

7x^2 − 6

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)

Then, combine like terms.

(x + 6)(7x − 1) = (x)(7x) + (x)(-1) + (6)(7x) + (6)(-1)

 = 7x2 − x + 42x − 6

 = 7x2 + 41x − 6

If GEOM is a square, find m2GQE.

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Answer:

90 is correct answer of it question

Quick whoever gives the right answer gets brainliest

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Answer:

The independent variable (IV) is the amount of hamburgers

Step-by-step explanation:

The amount of hamburgers influence the sale amount.

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Answers

Answer:

E

Step-by-step explanation:

the only one where all the pieces of the equation have the same signs

Twice the difference of 1 and a number.

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2(1-n) where n=a number

Does anybody know the answer to this I just need to finish the homework assignment to work on other stuff lol

Answers

Answer: C

Step-by-step explanation:

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)


Solve the linear equation x + 4 + 3x = 72. State the property that justifies your first step and why you chose it

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.

Juan received a bank account statement reporting the recent changes
to his account. The statement showed an overall increase in the
account balance of $1,909.15. During the time shown on the
statement, Juan was paid twice and withdrew a total of $1,437.99 to
cover all his bills and expenses. How much (x) is each of Juan's
paychecks?

Answers

Answer:

2628.15

Step-by-step explanation:

1909.15+ 1437.99/2=2628.15

Find the smallest number that is divisible by both 18 and 48.

Answers

Answer:

144

Step-by-step explanation:

write out the 18 and the 48 times tables until you find the smallest number that is in both times tables. and there's your number :)

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]

The probability that Mae will roll an odd number

[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

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

Need Help with this please!!

Answers

Answer:

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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.

The diagram shows two congruent equilateral triangles whose overlap is a hexagon.
The areas of the smaller triangles, which are also equilateral, are 1, 1, 9, 9, 16 and 16, as shown.
16
16
X1
9
What is the area of the inner hexagon?

Answers

Answer:

38

Step-by-step explanation:

The volume of a cylinder is 1767 cm and its height is 11 cm.
What is the length of the cylinder's radius?
Enter your answer in the box.

Answers

Answer:

1778 cm

Step-by-step explanation:

−2(x + 9) + 25 = 14 − 3x
(step by step pls)

Answers

Answer:

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

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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
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Answers

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What is the measure of angle P?

Answers

Answer:

60

Step-by-step explanation:

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Answers

Answer:

A

Step-by-step explanation:

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

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U
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Answers

Answer:

12

Step-by-step explanation:

Essentially, 60 and the 5 us must be equal:

60=5u

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Answer:

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Answers

Answer:

Step-by-step explanation:

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

17. ($50.25 - $22.50 + $50.25 - $22.50 - $22.50) / 5 = $33 / 5 = $6.60

Answer:

16.-73.5÷3=-24.5 feet per minute

17.(50.25-22.5+50.25-22.5-22.5)÷5=6.6

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.

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

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200= selling-0.5/0.5*100

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200-selling= 100

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Answers

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Answers

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Answers

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Answers

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What hazard is present in this image?

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A mat that has upturned edges


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Answers

Answer:

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Step-by-step explanation:

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