Mathematics
11.06.2021 13:24
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If x(a) = a2 + 2a + 1 and w(a) = 9a2 + 20a - 1, then what is x(a) + w(a)? been stuck

If x(a) = a2 + 2a + 1 and
w(a) = 9a2 + 20a - 1,
then what is x(a) + w(a)?
been stuck on this question for a day !
Show Answers
aurorasweetpea610
aurorasweetpea610
5,0(10 marks)

\large\boxed{10a^2+22a}

Step-by-step explanation:

In this question, we're solving for x(a) + w(a).

What this means is that we would be adding both expressions together.

Your expression should look like this:

a^2 + 2a + 1 + 9a^2 + 20a - 1

Solve:

a^2 + 2a + 1 + 9a^2 + 20a - 1\\\\\text{Combine like terms}\\\\10a^2+2a+1+20a-1\\\\10a^2+22a+1-1\\\\\boxed{10a^2+22a}

When you're done solving, you should get 10a²+22a.

This means that 10a²+22a would be the correct answer.

I hope this helped you out.Good luck on your academics.Have a fantastic day!
moneymaleia9264
moneymaleia9264
4,9(22 marks)

10a^2 + 22a

Step-by-step explanation:

x(a)+w(a) means to just add the expressions (a^2+2a+1) and (9a^2+20a-1) since that is what x(a) and w(a) equal and because of the + between them.

(a^2 + 2a + 1)

+ (9a^2 +20a - 1)

10a^2 +22a +0

Or just 10a^2 + 22a.

YeshaKira
YeshaKira
4,5(2 marks)

14.5%

Step-by-step explanation:

Use the number 100 as an example to find the single discount.

Take a 10% discount off of this:

100(0.9)

= 90

Take a 5% discount:

90(0.95)

= 85.5

So, after the successive discounts, $14.5 was discounted.

This means that the single discount is 14.5%.

So, the answer is 14.5%

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