Which of the following represents the factorization of the binomial below ? x^2 - 144

Answers

Answer 1

It factors to (x+12)(x-12)

This is the same as (x-12)(x+12) as we can multiply two expressions in any order we want. This is like saying 7*5 is the same as 5*7

I used the difference of squares rule to factor x^2 - 144. It might help to write x^2 - 144 as x^2 - 12^2, then compare it to a^2 - b^2 = (a-b)(a+b)


Related Questions

Which function can be used to determine the daily revenue if the price of a coupon card is decreased by x dollars?
R(x) = –x2 + 6x + 40
R(x) = –(x – 4)(x + 10)
R(x) = –(x2 – 14x + 40)
R(x) = –(x + 3)2 + 49

Answers

Answer:

option A

Step-by-step explanation:

The change in the x-coordinates of any two points on a line in the xy-plane is
the______

A. rise

B. slope

C. angle

D. run

Answers

Answer:

D. run

Step-by-step explanation:

The slope is given by

m = (y2-y1)/ (x2-x1) =  rise/ run

The change in the x coordinates is the run

pretty sure its the run

Financial goal is to purchase a house. To make Marcel’s financial goal of purchasing a house a specific goal, he can . Next, Marcel can make his goal timely by . Lastly, Marcel can make his financial goal measurable by each month.

Answers

Answer:

Marcel's financial goal is to purchase a house. To make Marcel's financial goal of purchasing a house a specific goal, he can FOCUS ON SAVING FOR A DOWN PAYMENT. Next, Marcel can make his goal timely by GIVING HIMSELF A DEADLINE. Lastly, Marcel can make his financial goal measurable by TRACKING THE AMOUNT OF MONEY HE SAVES each month.

The half-life of a certain radioactive element is 35 hours. If there are 904 grams of this element, how much will be left after 70 hours? PLEASE HELP I MIGHT FAIL MATH.

Answers

Answer: 226 grams

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

Explanation:

The half-life is 35 hours. This means every 35 hours, the amount of the substance is cut in half. If we started with 100 grams, then 35 hours later, we will have 50 grams. Then another 35 hours later we will then have 25 grams, and so on.

In this case, we start with 904 grams and follow this sequence:

904, 452, 226, 113, ...

Each term is cut in half. Going from term to term it takes 35 hours each. The third term 226 is the result of waiting two half-lives, which is 2*35 = 70 hours that have elapsed total.

--------------

If you want to use a formula, then it would be

[tex]y = A*\left(\frac{1}{2}\right)^{x/H}[/tex]

where,

H = half-life duration (in this case, it is 35)

A = starting amount (which is 904 in this case)

x = amount of time that has elapsed (we will plug in x = 70)

y = final amount after x units of time has elapsed

note that x and H must have the same time unit. Both are in terms of hours in this case.

------------

So we will plug A = 904, x = 70, H = 35 into the formula to get...

[tex]y = A*\left(\frac{1}{2}\right)^{x/H}\\\\y = 904*\left(\frac{1}{2}\right)^{70/35}\\\\y = 904*(0.5)^{2}\\\\y = 904*(0.25)\\\\y = 226\\\\[/tex]

We see that x = 70 leads to y = 226. This means after 70 hours, there is 226 grams of the material left.

Use DeMoivre’s Theorem to find (3cis(pi/6))^3.
a.) (27sqrt3)/2 +27/2 i
b.) (9sqrt3)/2 +9/2 i
c.) 27i
d.) 9i

Answers

Answer:

C. 27i

Step-by-step explanation:

Given the complex number in polar coordinate expressed as

z = r(cos∅+isin∅)

zⁿ =  {r(cos∅+isin∅)}ⁿ

According to DeMoivre’s Theorem;

zⁿ =  rⁿ(cosn∅+isinn∅)

Given the complex number;

(3cis(pi/6))^3

= {3(cosπ/6 + isinπ/6)}^3

Using  DeMoivre’s Theorem;

= 3³(cos3π/6 + isin3π/6)

=  3³(cosπ/2 + isinπ/2)

= 3³(0 + i(1))

= 27i

The right answer is 27i

What’s the answer??.??”

Answers

Answer:

77

Step-by-step explanation:

the formula is base times height. 7 is the height, add 8 + 3 to get 11 so there's only 1 base. multiplying the 7 and 11 to get 77

Use the box method to distribute and simplify (-6x-3)(4x+2).(−6x−3)(4x+2). Drag and drop the terms to the correct locations of the table.

Answers

Answer:

576 x 4 + 1152 x 3 + 864 x 2 + 288 x + 36

Step-by-step explanation:

The simplification of the given equation is [tex]-24x^2 -24x -6[/tex]

Given that,

The equation is (-6x-3)(4x+2).

The calculation is as follows:

[tex]= (-6x - 3) \times (4x + 2)\\\\= -24x^2 -12x - 12x -6\\\\= -24x^2 -24x -6[/tex]

Find out more information about the  equation here:

https://brainly.com/question/2263981?referrer=searchResults

Betty spent 12 minutes drying her hair and 16 minutes curling her hair. How much time did Betty spend drying and curling her hair combined?

Answers

Answer:

28 min

Step-by-step explanation:

The word combined signals to addition.

if we are adding 12+16, add the ones place first and you will get 8

There are 2 tens in the tens place

1+1=2

Put them together and it is 28 min

Hope this helped :)

Answer:

28

Step-by-step explanation:

because 12 + 16 = 28

Which will result in a perfect square trinomial?

Answers

Answer:

is there a picture?

Step-by-step explanation:

Which of the following is true of the data set represented by the box plot? (2 points)

box plot with min at 10.5, Q1 at 11.5, median at 12.5, Q3 at 13.5, max at 15

Group of answer choices

a.) The data contains at least one outlier.

b.) The mean and median are most likely the same or very close.

c.) The data is skewed to the right.

d.) The median is 11.

Answers

Answer:

b

Step-by-step explanation:

A Weather Forecaster, predicts that there is a 25% chance of rain on Saturday and a 40% chance of rain on Sunday. If these probabilities are correct, what is the probability that it will rain both days?

32.5%

10%

12%

65%

Answers

Answer:

10%.

Step-by-step explanation:

These 2 probabilities are independent so we multiply them:

Prob(It rains both days) =  0.40 * 0.25

= 0.10

= 10%.

=

Which inequality will have a shaded area below the boundary line?

Answers

Answer:

When you change the inequality as the formula of y>ax+b, it is over the boundary line. While the formula is y<ax+b, it is below the boundary line. So we can get the answer is D.

Step-by-step explanation:

WHat is the value of 599 x (400+37) QUICKKKKKK!!

239,637
261,763
432,599
599,437

Answers

Answer:

b: 261,763

Step-by-step explanation:

do the parenthesis then mutiply the 2 #s

Option B is correct. The value of 599 x (400+37) is 261,763.

Given the values A, B and C. According to the distributive law:

A(B + C) = AB + AC

Applying the rule to the given question:

599 x (400+37)

= 599(400) + 599(37)

= 239,600 + 22,163

Adding up the result

= 261,763

Hene the value of 599 x (400+37) is 261,763.

Learn more here: https://brainly.com/question/12953263

hi what is the answer for this

Answers

Answer:

16[tex]\pi[/tex]

Step-by-step explanation:

area of a circle is pi x r x r

since it is a quarter

1/4 x pi x 8 x 8 = 16 x pi

Answer:

formula = pi× r²× 1/4

Step-by-step explanation:

since radius = 8

3.14×8×8 = 3.14×16

4

therefore the answer is pi × 16

I NEED HELP!

Line 9 and 10
To calculate your taxable income, subtract the sum of lines 8 and 9 from line 7.

Answers

Can’t see it that far
I can’t see the picture

Simplify. Rewrite the expression in the form y^ny n y, start superscript, n, end superscript. y^{-4}\cdot y^{3}=y −4 ⋅y 3 =y, start superscript, minus, 4, end superscript, dot, y, cubed, equals

Answers

Answer:

[tex]y^{-4}\cdot y^3=y^{-1}[/tex].

Step-by-step explanation:

The given expression is

[tex]y^{-4}\cdot y^3[/tex]

We have to simplify the above expression. in form of [tex]y^n[/tex].

Using property of exponents, we get

[tex]y^{-4}\cdot y^3=y^{-4+3}[/tex]      [tex][\because a^ma^n=a^{m+n}][/tex]

After addition of exponents, we get

[tex]y^{-4}\cdot y^3=y^{-1}[/tex]

Therefore, [tex]y^{-4}\cdot y^3=y^{-1}[/tex].

Please Answer Quick i'm in a rush please ill give brainliest!!!!!!!
The map shows the location of the houses of Dan, Joe, Lee, and Roy:

Coordinate grid shown from negative 5 to positive 5 on x-axis and negative 5 to positive 5 on y-axis. A point labeled Dan is shown on ordered pair 1, 4. A point labeled Joe is shown on ordered pair negative 3, 4. A point labeled Lee is shown on ordered pair negative 3, negative 4. A point labeled Roy is shown on ordered pair 2, negative 3.

The coordinates of the community center are (5, −1). Who has a house in the same quadrant as the community center?

Dan
Joe
Lee
Roy

Answers

Answer:

roy is in the same quadrant

Step-by-step explanation:

↙↘⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵

Answer:

roy

Step-by-step explanation:

What is the solution of the inequality shown
below?
c+2 < -1

Answers

Answer: c < -3

Step-by-step explanation: To solve for c in this inequality, your goal is the same as it would be you were solving an equation, to get c by itself on one side of the inequality.

Since 2 is being added to c, subtract

2 from both sides of the inequality.

On the left, the +2 and -2 cancel out

and on the right, -1 - 2 is -3.

So we end up with c < -3.

I have also graphed this for you below.

find the measure of arc UT Given a.168
b.192
c.84
d.96

Answers

Answer:

is there supossed to be a picture?

Step-by-step explanation:

Answer:

Can you please give us a picture!

Step-by-step explanation:

Is (1, -2) a solution of y> -6x – 3?
Choose 1 answer:
Yes
No

Answers

Answer:

Yes

Step-by-step explanation:

(1, -2)

y > -6x – 3

-2 > -6(1) - 3

-2 > -6 - 3

-2 > -9 Yes

Can anyone help with this? First question gets marked brainliest!

Answers

Answer:

5 cm

Step-by-step explanation:

Answer:

5 cm

Step by step explanation

PLEASEEEEE HELPP !!!!!
A lake near Susan's house is predicted to lose water every
day because of a drought. The table shows the estimated
water depth in feet, y, after x days of drought.

Answers

Answer:

y = -0.5x + 100

Step-by-step explanation:

Im not really sure what i was supposed to answer but i hope it helped.

Answer:

A.       y = −0.5x + 100  

Step-by-step explanation:

Find the value of x.

Answers

Answer:

x=8

Step-by-step explanation:

5x+8

5x8=40

x=40

Answer:

x = 25.6

Step-by-step explanation:

1. Both angles towards the bottom equal 48 degrees, so the angle on the left (already shown) and across on the right equal 48. Add/multiply both of them

        48 * 2 = 96

Now, like triangles, figures with 4 sides add up to a certain number of degree. Four sided figures or quadrilaterals (the ”fancy” math word for it) add up to 360 degrees.

2. Adding up to 360 degrees means that all four angles have to be evenly split, you already know that the corners are 48 degrees, the bottom corners, you don’t know yet, therefore, we subtract 360 by 96 and divide the difference.

360 - 96 = 264

264/2 = 132

3. From the explanation above, you now know that the bottom corners will equal 132 degrees, therefore you will set the equation to be equal to 132 degrees.

5x + 8 = 132

5x = 128

x = 25.6

The answer is x = 25.6, I hope this explained everything, there are some theorems which make remembering these steps a lot easier, and alternative approaches you could have taken, but this is my approach.


Max pays his rent for $300 on April 28th.
Max mows a different neighbor's lawn on April 29th and they pay him $15.
Max fills up his tank at a gas station on April 30th for $29.80.
Max buys a snack in the gas station for $4.57 the same day.

How much money does Max have on April 30th after he buys the snack?

Answers

Answer: −319.37

Explanation: -300 + 15 - 29.80 - 4.57

The abc store sold 142 c.d.'s at $10.50 each, 80 audio tapes which cost $8.00 a price, 30 videos priced at $15.00 each and $150 in other items. How much money was taken in altogether?

Answers

Answer:

2731

Step-by-step explanation:

Mark me brainiest

PLS HELP middle school math​

Answers

Answer: 2,4      4,8       8,16     and so on ...

Step-by-step explanation:

Is this SAS or Not SAS?

Answers

SAS


Both triangles angles and sides are congruent

Answer:

SAS

Step-by-step explanation:

Simplify.

2(m + 11)

2m + 11
2m + 22
24m
22m

Answers

Answer:

You distribute the 2 to the m=2m

Then you distribute the 2 to the 11 which gives you 22

ANSWER: 2m+22

The parabola opens to the right. The focus is given as

F (p,0) and directrix x = -p. The distance between the

focus and point P is equal to the distance between the

directrex and point P. Continue to simplify the equation to

solve for y2. THE ANSWER IS 4px!! :)

Answers

Answer:

Step-by-step explanation:

We have that the focus is at (p,0) and that the directrix is x=-p. Take the point (-p,0) of the directrix. We know that the vertex of the parabola is at the middle point ot the line segment that joins the points (p,0) and (-p,0). To get the middle piont, we take the average coordinate by coordinate. That is, the middle point is [tex](\frac{-p+p}{2}, \frac{0+0}{2}) = (0,0)[/tex]. The general formula of a parabola of vertex (h,k) that opens to the right or to the left is given by

[tex](y-k)^2 = 4p(x-h)[/tex]

Where |p| is the distance from the focus to the vertex. If the parabola opens to the right, then p>0 and p<0 otherwise. In our case, h =0=k, so we get that

[tex]y^2 = 4px[/tex]

Answer:

y^2 = 4px

Step-by-step explanation:

edg 2021

Can some help me thank you

Answers

They all share the same numerator
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