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

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

What hazard is present in this image?

Select the best option.


A mat that has upturned edges


Hair clippings on the floor


Tool cord left out


Spills on floor

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

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 :)

Need Help with this please!!

Answers

Answer:

A is 85 degrees

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:

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:

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

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

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

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)

consider the two functions which statement is true?

Answers

Answer:

A

Step-by-step explanation:

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

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

Answers

Answer:

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

collect like terms

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

x=29

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

200= selling-0.5/0.5*100

200-selling= 50/0.5

200-selling= 100

selling= 200-100

selling = 100

Hence the selling price is $100

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

step 4: 180°-120°= 60

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
.50x = 6 + .25x
.25x = 6
x = 24 tickets

Number seven plz helppp

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.

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!

Twice the difference of 1 and a number.

Answers

2(1-n) where n=a number

Katie's business is going so well she wants to expand and add a shirt. She makes an isosceles triangle logo like the one below.

What is the angle of B

Answers

I think u forgot to put pic for we can see the triangle
Can u give us how the angle looks please if you could?

(ONLY MY FRIENDS RESPOND) What is the Area of a square if it has L= 32cm and W= 20cm?
(Heres a re-made thing for my friends, sorry for the rushed handwriting, I had to do it before my mom saw, hope u guys can read it)

Answers

Answer:

640

Step-by-step explanation: and wow

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

Answers

Answer:

E

Step-by-step explanation:

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

The hanger image below represents a balanced equation.
60
U
Find the value of u that makes the equation true.

Answers

Answer:

12

Step-by-step explanation:

Essentially, 60 and the 5 us must be equal:

60=5u

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

12=u

Answer:

the answer is 12

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

Pls help semester ends to day pls help with both 16 and 17

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

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:

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.

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

Answers

It’s A,B,D hope this helps you!!


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.

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.

Explain how to describe the data on a histogram. Write 3-5 sentences.

Answers

PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG. PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG. PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.

Quick whoever gives the right answer gets brainliest

Answers

Answer:

The independent variable (IV) is the amount of hamburgers

Step-by-step explanation:

The amount of hamburgers influence the sale amount.

If GEOM is a square, find m2GQE.

Answers

Answer:

90 is correct answer of it question

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