<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Db%2B2%5Cleq%20-6" id="TexFormula1" title="\frac{1}{2}b+2\leq -6" alt="\fr

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creativ13 [48]

3 years ago

ac{1}{2}b+2\leq -6" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

lesya692 [45]3 years ago

6 0

Answer:

1/2 b ≤-8

Step-by-step explanation:

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What equation results from completing the squre and then factoring x^2+10=15

nlexa [21]

For this case we must complete squares:

$x ^ 2 + 10x = 15$

We add the square of half the coefficient of the term "x",

$(\frac {b} {2a}) ^ 2$ on both sides of the equation:

$x^2+10x+(\frac {10} {2 (1)}) ^ 2 = 25 + 15\\x ^ 2 + 10x + 5 ^ 2 = 25 + 15$

According to the perfect square trinomial we have:

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

Rewriting the expression we have:

$a = x\\b = 5\\(x + 5) ^ 2 = 25 + 15\\(x + 5) ^ 2 = 40$

ANswer:

$(x + 5) ^ 2 = 40$

6 0

3 years ago

To make concrete it take 8 parts crushed gravel, 7 parts water and 5 parts cement mix. A worker needs to make 220 kg of concrete

Romashka-Z-Leto [24]

A complete load of concrete = 8 parts gravel + 7 parts water + 5 parts cement.

Total number of parts in every load = 8 + 7 + 5 = 20 parts

If total load = 220 kg, then 20 parts = 220 kg

Divide each side by 20 : 1 part = 11 kg

gravel = 8 parts = 8 x 11 kg = 88 kg
water = 7 parts = 7 x 11 kg = 77 kg
cement = 5 parts = 5 x 11 kg = 55 kg

Check: 88 + 77 + 55 = 220 yay !

4 0

3 years ago

Joyce determines that 30% of her monthly income goes for rent. If her monthly income is $2,009, about how much is her monthly re

bixtya [17]

Answer:

602.7

7,232.4

Step-by-step explanation:

2009 x 0.30 = 602.7

602.7 x 12 = 7232.4

8 0

3 years ago