Part A: Factor x2a2 + 3xa2 + 2a2. Show your work. (4 points)

Answers

Answer 1
Answer:

Hope this is what you need

Answer 2
Answer:

Answer:

I am not sure of the equation but I interpreted it as x^2a^2+3xa^2+2a^2

Step-by-step explanation:

X^2a^2+3xa^2+2a^2

1. a^2 (x^2+3x+2)

2.a^2(x^2+2x+x+2)

3. a^2(x(x+2)+x+2)

4. a^2(x+2)(x+1)


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I need help finding the formula..
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Need help quick!! Please explain how you got your answer.

Estimate 2.436 divided by 12

Answers

Use a calculator!
Or if you must, 
2.4 rounded down is 2. 
12 divided by 2 is 6 so the answer would be less than but not greater than 6.

Final answer:

The estimation of 2.436 divided by 12 is approximately 0.203 .

Explanation:

The student wants to estimate the result of 2.436 divided by 12. The number 2.436 is closer to 2, therefore we can estimate it as 2. Now our division problem becomes 2.436 divided by 12. It would be less than 1 since 2 is smaller than 12. However, to get a more exact estimation, we could think of it as if every 1 of the 12 gets 1/6 of the 2, which means each one would get about 0.203. Therefore, 2 divided by 12 is approximately 0.203.

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Are 25 2/5 and 25 3/8 equivalent

Answers

No 25 2/5 = 25.4 and 25 3/8 = 25.375

25 2/5 > 25 3/8 if you compare their decimal equivalents.

PLEASE HELP ASAP!? Which equations in point-slope form are equations of the line that pass through the points (4, 5) and (−3, −1)?Choose exactly two answers that are correct.
A. y-3 = 7/6 (x-1)
B. y-5 = 6/7 (x-4)
C. y+1 = 6/7 (x +3)
D. y-4 = 7/6 (x-5)

Answers

I am not sure about point slope, but I can find an equation in slope-intercept form and convert it, so
y=mx+b, m=slope
slope=(y1-y2)/(x1-x2)
we have points
(4,5)
(-3,-1)
(x,y)
x1=4
y1=5
x2=-3
y2=-1
subsitute
(5-(-1))/(4-(-3))=(5+1)/(4+3)=6/7
y=6/7+b
sybsitute and solve for b
(4,5)
x=4
y=5
5=6/7(4)+b
5=24/7+b
5=35/7
subtract 24/7 from both sides
11/7=b
y=6/7x+11/7
convert to the point slope form and find equivilent fraction
since the question asks for 2 answers that are correct and only 2 of the equations have slope of 6/7 I can guess that the answers are B and C
point slope form is 

y -y1 = m(x - x1)

First, we need to calculate the slope.

Slope = (y_2-y_1)/(x_2-x_1) = (5-(-1))/(4-(-3)) = (6)/(7)

The slope is 6/7

Next, we plug in both points.

m = 6/7, (x1,y1) = (4,5)

The equation will be:
y - 5 = 6/7 (x - 4)

Plugging in m = 6/7, and (x1,y1) = (-3,-1)

The equation will be
y + 1 = 6/7 (x + 3)

Your answer is B and C.

Annabel and Riley were given a homework packet of 120 math questions to finish over the summer. In June, Annabel finished 25% of the questions in her packet.
In June, Riley finished 40% of the questions in her packet.

How many more questions had Riley finished than Annabel?

Answers

Riley finished 18 more questions than Annabel, as per the given condition.

Given that,
Annabel and Riley were given a homework packet of 120 math questions to finish over the summer. Annabel finished 25% of the questions in her packet. In June, Riley finished 40% of the questions in her packet.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Question finished by Annabel = 25% of 120 = 0.25 × 120 = 30
Question finished by Riley= 40% of 120 = 0.40× 120 = 48
Difference in the question = 48 - 30 = 18

Thus, Riley finished 18 more questions than Annabel, as per the given condition.

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Answer:

18 questions

Step-by-step explanation:

I got another problem on substitution on linear equations... I'm very confused. How do I know which one to start? How do I know what to do? Is there any simple explanations? x -2y =5
3x - 5y =8

Can you help me do this in the simplest way please? I'm kinda struggling to get this concept down... :(

Answers

Don't worry, you just have to get used to these problems! You can do it girl!!

So, it doesn't matter where you start. I would start finding the x in the first equation, like this:

x - 2y = 5
x = 5 - 2y

Which is really easy, isn't it?
Now you know that x is equal to 5 - 2y, so you can substitute the x in the second equation. (You could have done the same solving by y, it doesn't matter :D )

3 ( 5 - 2y ) - 5y = 8

15 - 6y - 5y = 8

- 6y - 5y = 8 - 15

-11y = -7

y = -7/-11 = 7/11

Now you found your y! Let's substitute it in the first equation. (The beginner one, not the one that you worked on) 

x - 2 (7/11) = 5

x - 14/11 = 5

x = 5 + 14/11

x = 69/11

I know you got it now! ;) Otherwise ask me whatever you want!

If I put $ 1500 into my savings account and earned $ 180 of interest at 4 % simple interest, how long was my money in the bank?

Answers

I=PRT
P for Principle Amount
R for Rate
T for Time in years
Substitute:
180=1500×0.04×T
180=60T
3=T
It was in the bank for 3 years.