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Dafna1 [17]
2 years ago
6

HELP LAST PROBLEM!

Mathematics
1 answer:
Keith_Richards [23]2 years ago
3 0
Given 4 boxes of pencils cost $5,
Unknown- slope 
$1.25 per box since $5/boxes
Equation y=mx+b
Substitute $1.25/per box for m
Solve y=$1.25x  
The Check
$5=$1.25/per box(4 boxes)
$5=$5
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For questions 1 - 2, use the distributive property to find the product of the binomials.
igor_vitrenko [27]

Answer:

1).  2x^2-3x+20

2). 4x^2-14x+6

Step-by-step explanation:

1. (x-4)(2x+5)

FOIL:

(x)(2x)+5(x)-8(x)+(4)(5)

2x^2+5x-8x+20

=2x^2-3x+20

2. (4x-2)(x-3)

FOIL:

(4x)(x)-(3)(4x)-2(x)-2(-3)

4x^2-12x-2x+6

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Find all real solutions and show work: <br> 2x^3-3x^2+18x-27=0
Amiraneli [1.4K]

Given:

The given equation is

2x^3-3x^2+18x-27=0

To find:

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Solution:

We have,

2x^3-3x^2+18x-27=0

It can be written as

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Using zero product property, we get

(2x-3)=0 and (x^2+9)=0

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x=\dfrac{3}{2} and x=\pm\sqrt{-9}

We know that x=\pm\sqrt{-9} is an imaginary number because there is a negative sign under the square root.

Therefore, x=\dfrac{3}{2} is the only real solution of the given equation.

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