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Zinaida [17]
2 years ago
13

Simplify the following expression

Mathematics
2 answers:
kow [346]2 years ago
7 0
X^4(2x-1)(3x-2)
hope this helps :)

inysia [295]2 years ago
4 0
Remember
(x^m)(x^n)=x^{m+n}
and FOIL, a way to remember to distribute
First
Outer
Inner
Last
that is an order to multiply the terms

so

(2x^3-x^2)(3x^3-2x^2)
FOIL
First: 2x³ times 3x³=2 times x³ times 3 times x³=6x⁶
Outer: 2x³ times -2x²=-4x⁵
Inner: -x² times 3x³=-3x⁵
Last: -x² times -2x²=2x⁴

add them together
6x⁶-4x⁵-3x⁵+2x⁴=
6x⁶-7x⁵+2x⁴
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4. What is the system of equations that describes the following graph?
GarryVolchara [31]

Answer:

The system of inequalities is

y

y>0.25x

Step-by-step explanation:

step 1

Find the equation of the dashed line with negative slope

The line passes through the points

(0,-2) and (-2,0)

Find the slope

m=(0+2)/(-2-0)=-1

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-1\\b=-2

substitute

y=-x-2

The solution of the inequality is the shaded area below the dashed line

therefore

The equation of the inequality A is

y

step 2

Find the equation of the dashed line with positive slope

The line passes through the points

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Find the slope

m=(1-0)/(4-0)=0.25

Find the equation of the line (direct variation)

y=kx

we have

k=0.25

substitute

y=0.25x

The solution of the inequality is the shaded area above the dashed line

therefore

The equation of the inequality B is

y>0.25x

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4 0
3 years ago
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kherson [118]

Answer:

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Step-by-step explanation:

See below for a graph.

___

Choices B, C, E can be eliminated on the basis that neither x nor g(x) can be negative. The domain of f(x) is x>0; the range of g(x) is x≥0.

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Then he worked a total of 98 hours for that money.

A salary is an amount of money expressed by a period of time.  In this case, we'll use hours.

So, Jonah earned $1,700 after 98 hours of work:

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