Is 3x + 12 - 2x equivalent to x + 12? Use two properties of operations to justify your answer.

Answers

Answer 1

Answer: 3x+12-2x=x+12
3x-2x+12=x+12
1x+12=x+12
x+12=x+12

treu

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

Answers

Hope this is what you need

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)

A delivery truck with a 400-pound weight limit is transporting televisions & microwaves. Define variables & write an inequality for this situation. Will the truck be able to deliver 35 televisions & 25 microwaves at once? Write two possible solutions to the inequality. Are there solutions that make the inequality mathematically true, but are not reasonable in the context of the problem? Explain.

Answers

So the inequality would be 77x+55y≤4000. x is the number of TV's and y is the number of microwaves. For the second part plug in 35 for x and 25 for y. So you get 77×35+55×25≤4000.
2625+1375≤4000
4000=4000 so the answer to that part is yes.
One unreasonable solution is (0,0) (TV's,microwaves) because that would mean the truck is empty. Another one is (1,71) because that would be only one TV and 71 microwaves.

Expand the following:

Answers

Hey there!

3/4(-24x - 16)

DISTRIBUTE 3/4 WITHIN PARENTHESES

= 3/4(-24x) + 3/4(-16)

= -18x - 12

Therefore, your answer is: -18x - 12

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

You can draw a quadrilateral with two sets of parallel lines and no right angles. True
False

Answers

True would be the correct answer to your question

How can I get the area of the shaded region?

Answers

Let's work on the triangle first. The x intercept of 2y=27-3x is

0 = 27 - 3x

3x = 27

x = 9

So A(9,0)

B is the meet of 2y=27-3x and y=3x

2y=27-y

3y=27

y=9

y is the height of OAB; we don't really need x

Area(OAB) = $\frac 1 2 (9)(9) = (81)/(2) = 40.5$

Now we have to subtract

$\displaystyle \int_0^9 (3x - x^(\frac 3 2))dx = \frac 3 2 x^2 - \frac 2 5 x^(\frac 5 2) \bigg|_0^9 = \frac 3 2 (9^2) - \frac 2 5 (9^(\frac 5 2)) = (1)/(2)(243) - \frac 2 5 (243) = 24.3$

Area = 40.5 - 24.3 = 16.2

Answer: 16.2

Is the statement 14 square root less than 21 over 5 true or false

Answers

False it is roughly 3.74 so it is less than 5. Becuase $√(14) \neq 3.74$ if thats what ur asking lol

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