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Aleks [24]
3 years ago
14

|3 + y| - 4 = 7 solve

Mathematics
2 answers:
vfiekz [6]3 years ago
8 0

Answer:

y = 8 or y = -14

Step-by-step explanation:

Solve for y over the real numbers:

abs(y + 3) - 4 = 7

Add 4 to both sides:

abs(y + 3) = 11

Split the equation into two possible cases:

y + 3 = 11 or y + 3 = -11

Subtract 3 from both sides:

y = 8 or y + 3 = -11

Subtract 3 from both sides:

Answer:  y = 8 or y = -14

natta225 [31]3 years ago
6 0

Answer:

y = 8 or y = -14

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Decompose x^2+4x-3/x-2​
mariarad [96]

Answer:

\dfrac{x^3-2x^2+4x-3}{x-2}

Step-by-step explanation:

The given equation is :

x^2+\dfrac{4x-3}{x-2}

We need to decompose this equation.

We have,

x^2+\dfrac{4x-3}{x-2}\\\\=\dfrac{x^2(x-2)+4x-3}{x-2}\\\\=\dfrac{x^3-2x^2+4x-3}{x-2}

So, \dfrac{x^3-2x^2+4x-3}{x-2} is the decomposed form of the given expression.

5 0
2 years ago
From the set 1/2/3/4/5 which values make the inequality n + 1 > true?
saul85 [17]

Hi there!

To make n+1>4 true, you must have n be a numebr greater than 3...

The reason why is because if it is less than 3 or 3, it’ll have to be <.

The two numbers that can make this equation true is 4 and 5...

4+1=5>4

5+1=6>4

And if it is 1,2, and 3 it would be:

1+1=2

2+1=3

3+1=4=4

7 0
3 years ago
Katy invests a total of $26,500 in two accounts paying 4% and 9% annual interest, respectively. How much was invested in each ac
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A = amount invested at 4%.

b = amount invested at 9%.

we know the total amount invested was $26500, thus a + b = 26500.

whatever% of anything is just (whatever/100) * anything.

how much is 4% of a?  well, is just (4/100) * a, or 0.04a.

how much is 9% of b?  well, is just (9/100) * b, or 0.09b.

we know the interest yielded for both amounts adds up to $1510, thus 0.04a + 0.09b = 1510.

\bf \begin{cases}&#10;a+b=26500\implies \boxed{b}=26500-a\\&#10;0.04a+0.09b=1510\\&#10;----------------\\&#10;0.04a+0.09\left( \boxed{26500-a} \right)=1510&#10;\end{cases}&#10;\\\\\\&#10;0.04-0.09a+2385=1510\implies -0.05a=-875&#10;\\\\\\&#10;a=\cfrac{-875}{-0.05}\implies a=17500

how much was invested at 9%?  well, b = 26500 - a.
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Nat2105 [25]
The answer is D plane Qpr
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Naviah buys 8 but no more than 12 gallons of gas each week. The price of gas ranged from $2.25 to $2.50 each week. Write a compo
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Answer:

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Step-by-step explanation:

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