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CaHeK987 [17]
3 years ago
9

Add the two expressions. 8.9x−5 and −6.8x+8 Enter your answer, in simplified form, in the box.

Mathematics
1 answer:
Verizon [17]3 years ago
8 0
Let's simplify step-by-step.<span><span><span><span>8.9x</span>−5</span>−<span>6.8x</span></span>+8</span><span>=<span><span><span><span><span><span>8.9x</span>+</span>−5</span>+</span>−<span>6.8x</span></span>+<span>8

</span></span></span>Combine Like Terms:<span>=<span><span><span><span>8.9x</span>+<span>−5</span></span>+<span>−<span>6.8x</span></span></span>+8</span></span><span>=<span><span>(<span><span>8.9x</span>+<span>−<span>6.8x</span></span></span>)</span>+<span>(<span><span>−5</span>+8</span>)</span></span></span><span>=<span><span>2.1x</span>+<span>3

The simplified answer is </span></span></span><span><span>2.1x</span>+<span>3</span></span>
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A package of 5 pairs of insulated socks costs $36.95. What is the unit price of the pairs of socks
Sergeeva-Olga [200]

Hey there! :)

Answer:

$7.39 per pair of socks.

Step-by-step explanation:

Find the price per pair of socks by dividing the total price by the number of socks:

36.95 ÷ 5 = $7.39 per pair of socks.

3 0
3 years ago
Read 2 more answers
Evalute this integral
enot [183]

Answer:

(1/2)sin(2x) + C

Step-by-step explanation:

y=2x\\\frac{dy}{dx} =2\\\ dx=\frac{dy}{2} \\\int\limits {cos 2x} \, dx \\\int\limits {cos(y) } \, \frac{dy}{2} =\frac{1}{2} \\\int\limits {cos(y) } \, dy=\frac{1}{2}sin(y) \\ substitute / y=2x\\\int\limits {cos 2x} \, dx = \frac{1}{2}sin(2x) +C

4 0
3 years ago
Find the difference of the following polynomials:<br> (-2r4 + 3r3 - 10) and (4r4 - p3 + 2r2 + 7).
Vilka [71]

-6 r^{4}+4 r^{3}-2 r^{2}-17 is the difference between -2 r^{4}+3 r^{3}-20 \text { and } 4 r^{4}-p^{3}+2 r^{2}+7

Step-by-step explanation:

Given equations,

-2 r^{4}+3 r^{3}-20 \text { and } 4 r^{4}-p^{3}+2 r^{2}+7

Difference of the polynomial is written as

=-2 r^{4}+3 r^{3}-20-\left(4 r^{4}-p^{3}+2 r^{2}+7\right)

Open the brackets and multiply with -1 the whole expression \left(4 r^{4}-p^{3}+2 r^{2}+7\right) becomes

=-2 r^{4}+3 r^{3}-20-4 r^{4}+p^{3}-2 r^{2}-7

=-6 r^{4}+4 r^{3}-2 r^{2}-17

This is the difference of given two polynomials is -6 r^{4}+4 r^{3}-2 r^{2}-17.

4 0
3 years ago
John's birthday is this saturday, in buying materials for the party Vicki notices that plates come in packs of 12, cups come in
Vlad1618 [11]

Answer:

Step-by-step explanation:

So, Vicki wants no left overs whatsoever, which means we have to get all three items to the same number. We first look at 10. We know that 10 will always have a 0 in the one's place, meaning that 8 and 12 have to be multiplied by 5, 10, 15, 20, etc., but they do not need to be multiplied by the same number.

Let's take 8 first. 8 can possibly go up to 40, 80, 120, 160, 200, etc.

Then 12. 12 can possibly go up to 60, 120, 180, 220, 280, etc.

We can see that both numbers have 120 in common, so we shall use that.

We know that we can get 10 to 120 by multiplying 10 by 12, meaning Vicki buys 12 packs of cups.

We know that we can get 12 to 120 by multiplying 12 by 10, meaning Vicki buys 10 packs of plates.

And finally, we know that we can get 8 to 120 by multiplying 8 by 15, meaning Vicki buys 15 packs of utensils.

So, since the question is asking for utensils <em>only,</em> we should say that Vicki buys 15 packs of utensils.

4 0
3 years ago
Does the graph of <br><img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20-%20x2%20%2B%202x%20%2B%203" id="TexFormula1" title=
ch4aika [34]

Answer:

it can have both depending if it goes up or down

Step-by-step explanation:

6 0
3 years ago
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