Solve: 90 is greater than or equal to -9(w+3)

1 answer:

8 0

I just solved this

another way
distributive propery
a(b+c)=ab+ac

90>-9(w+3)
distribute -9
-9(w+3)=-9w-27
now we have

90>-9w-27
add 27 to both sides
90+27>-9w+27-27
117>-9w
divide both sides by -9 and don't forget to flip relation symbol
-13<w
w>-13

any number from -13 and up is ossible

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(20 points) Simplify The Expression with work/steps (8+3i) + (-2+ i)

zimovet [89]

Given the expression (8+3i)+(-2+i)

We need to simplify it.

(8+3i)+(-2+i)

First we have to remove the parenthesis.

8+3i-2+i

As we know that multiplication of positive and negative is negative.

Now we will add or subtract like terms. Like terms means here i with i and constant term with constant term. So here we will add 3i and i. Also subtract 2 from 8.

8-2 +3i+i

6+4i

We have got the required answer.

The simplified answer is 6+4i.

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$a^3 + b^3 = (a + b) (a^2 - ab + b^2)$

and observing that 1 + 4 = 2 + 3, we have

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Then

$\sqrt{1^3+2^3+3^3+4^3+5^3} = \sqrt{5\times13 + 5\times7 + 5\times5^2} = \sqrt{5 \times (20 + 25)} \\\\ ~~~~~~~~ = \sqrt{5^2 \times (4 + 5)} = \sqrt{5^2\times9} = \sqrt{5^2\times3^2} = 5\times3 = \boxed{15}$