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kogti [31]
3 years ago
9

iv 3(12 + x) = - 8(6 - x)" alt="1 \div 3(12 + x) = - 8(6 - x)" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Darya [45]3 years ago
8 0
Buckle up, this one was a long one. 

I set up 1 / 3(12 + x) as a fraction and set it equal to - 8(6 - x). 

Get rid of the parentheses by distributing the integers on the outside. You get 1 / 36 + 3x = - 48 + 8x. 

To get rid of the fraction, you multiply both sides by the (36 + 3x) polynomial to get 1 = (- 48 + 8x)(36 + 3x). 

Now we do the FOIL method to get 1 = 24x^2 + 288x - 144x - 1728. Combine like terms to get 24x^2 + 144x - 1728 = 1. 

Simply again by dividing each term the GCF of 24 to get 24(x^2 + 6x - 72) = 1. 

Factor the inside of the parentheses to get 24(x + 12)(x - 6) = 1. Now divide both sides by 24 to isolate the x variables to get (x + 12)(x - 6) = 1/24.

Set each polynomial equal to 1/24 to get you possible answers for what x can be. 

x + 12 = 1/24. Subtract 12 from both sides; you get x = - 12 + 1/24 to get x = - 11 23/24. 

x - 6 = 1/24. Add 6 to both sides; you get x = 6 + 1/24 to get x = 6 1/24


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To find the y value of the vertex, plug in 1/2 to the equation.

(1/2)^2 - 2(1/2) + 5 = 4.25 = k

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Answer:

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Make a table for each function rule. Then graph each equation using the points you created.
aleksandrvk [35]

Answer:

1.f(x)=2x-5

i will take the set {-2,-1,0,1,2}

f(-2)=2(-2)-5

=-4-5

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=-2-5

=-7

f(0)=2(0)-5

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f(1)=2(1)-5

=-3

f(2)=2(2)-5

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so the coordinates of the function is {-9,-7,-5,-3,-1}

2.f(x)=-3x+6

i will the take the set {-2,-1,0,1,2} too

f(-2)=-3(-2)+6=6+6=12

f(-1)=-3(-1)+6=3+6=9

f(0)=-3(0)+6=6

f(1)=-3(1)+6=-3+6=3

f(2)=-3(2)+6=-6+6=0

{12,9,6,3,0}

3.f(x)=2/3.x+4

{-2,-1,0,1,2}

f(-2)=2/3(-2)+4=-4/3+4=(-4+12)/3=8/3

f(-1)=2/3(-1)+4=-2/3+4=(-2+12)/3=10/3

f(0)=2/3(0)+4=4

f(1)=2/3(1)+4=2/3+4=(2+12)/3=14/3

f(2)=2/3(2)+4=4/3+4=(4+12)/3=16/3

{8/3,10/3,4,14/3,16/3}

you're can graph those coordinates

actually you can take other coordinates...

CMIIW

,

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2 years ago
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The greatest number of tickets she can buy is 6 tickets
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