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### Hallandale, FL (33009)

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# Nataliya's Responses in WyzAnt Answers

#### (-x)^2(-x)^5

simplify the expression

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Asked by Brittanee from Sandusky, OH
10

am · an = am+n
(-x)2(-x)5 = (-x)2+5 = (-x)7

#### (x-8) less than or equal to [ (40/(x+4)) - (90/(x+5)) solve for x

Another one is (6x-5 ) < (6/x)

Do you solve for x on these the way that you would if it were an equal sign rather than <> signs?

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Asked by Linnéa from Chicago, IL
10

(x - 8) ≤ 40/(x + 4) - 90/(x + 5)
important condition: x + 4 ≠ 0 ---> x ≠ -4     and                    x + 5 ≠ 0 ---> x ≠ -5
1. Let's assume (x + 5) > 0 and (x + 4) > 0 ---> x is from (-4, ∞)
or                (x + 5) < 0 and (x + 4) < 0 ---> x is from (-∞. -5)
(x - 8)(x + 4)(x + 5) ≤ 40(x + 5) - 90(x + 4)
After open parentheses and combine like terms:
x3 + x2 - 2x ≤ 0
x(x - 1)(x + 2) ≤ 0 ---> x is from (-∞, -5)
2. Let's assume that (x + 5)(x + 4) < 0 ---> x is from (-5, -4)
x(x - 1)(x + 2)  0 does not have solution without conflict with (1.)
The final answer is (-∞, -5)

ANOTHER WAY TO SOLVE THIS INEQUALITY:
Divide the numeric line onto intervals (-∞, -5), (-5, -4), (-4, 8) and (8, +∞) then pickup any number from each interval plug it into original inequality, simplify and look at gotten inequality, is it true or false.

#### Help with exponential equations (algebra 2)

Both need to be rounded to the nearest ten thousandths.

1. 4x=243

2. 14^x+1=36?I have do this problem too many times but only answers I have gotten is 1.347 or 0.358

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Asked by Jackie from Oklahoma City, OK
00

2. 14x + 1 = 36
14x = 35

log14 35 = x
x ≈ 1.3572

#### Find the value of x

Find the value of x which satisfies 3/x^2 + 2/x

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Asked by Zz from Owings Mills, MD
00

Value of "x" is any real number except 0.

#### given the vertex of (-2, 1) and the intercept of (0,5) please show how to reconstruct the equation.

How do you figure out how to do a problem like this

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Asked by Led from Los Angeles, CA
00

y = ax2 + bx + c
"c" is the y-intercept
y = a(x - h)2 + k
(h,k) are coordinate of the vertex
x-coordinate of vertex: -b / (2a)
~~~~~~~~~~~~
c = 5
Let's use (-2, -1) :
1. a(-2)2 + b(-2) + 5 = 1
4a - 2b = - 4
2. -b / (2a) = -2 ---> b = 4a
Now, let's solve system of equation:
4a - 2b = - 4
b = 4a
4a - 2(4a) = - 4
a = 1
b = 4
c = 5
y = x2 + 4x + 5   <---- final answer

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