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olga55 [171]
4 years ago
10

Convert the polynomial equation y=(x+2)(x-6)(x+7) from factored form to general form

Mathematics
2 answers:
Ket [755]4 years ago
8 0

y = (x+2)(x-6)(x+7)

<span>(x+2)(x+7)
x^2 - 6x + 2x - 12
x^2 - 4x - 12</span>

<span /><span>(x^2 - 4x - 12)(x + 7)
x^3 + 7x^2 - 4x^2 - 28x - 12x - 84
x^3 + 3x^2 - 40x - 84</span>

<span /><span>y = x^3 + 3x^2 - 40x - 84
</span>

FinnZ [79.3K]4 years ago
4 0
y = (x + 2) (x -6) (x + 7) \\ \\ i.e, y = (x+2) (x^2 - x - 42) \\\\ => y = x^3 + 3x^2 - 40x - 84
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Laura got a discount of 100 dollars on her purchase of a 5775 bed.What is the percent of decrease?
matrenka [14]
Remember that percent means parts out of 100
x/100

discount is the decrease
so we divide the decrease by the original total and get
100/5775=0.0173
convert to fraction
0.0173/1
make bottom number 100
multiply by 100/100
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5 0
3 years ago
You are ordering DVD's from a web site. They charge $14 for each DVD. For any order you must pay an additional $6 for shipping a
valkas [14]

Answer:

y = 16x + 6

Step-by-step explanation:

They charge $14 for each DVD, which mean the slope of the function is 14

You must pay an additional $6 for shipping and handling, which means no matter how many DVD you buy, you have to pay a flat fee for $6  

So our function is:

y = 16x + 6 where:

y is total cost

x is the number of DVD you buy (x>0)

5 0
4 years ago
The manager of a gas station has observed that the times required by drivers to fill their car's tank and pay are quite variable
maw [93]

Answer: 0.49

Step-by-step explanation:

The mean= E[x]=1/l= 7.5 min

l=1/7.5 =10/75=2/15

The exponential distribution's  probability density function is looking like that:

F(x)= l*e^(-l*x) = 2/15*e^(-2*x/15)

P(0<x<5)= e^(-0*2/15)- e^(-5*2/15)=1- e^(-2/3)= approx 0.49

7 0
3 years ago
Will mark as branilest and heart if help
Natali5045456 [20]

Answer:

B

Step-by-step explanation:

as the easiest way to calculate without the help of a calculator ¯\_(ツ)_/¯

3 0
3 years ago
A sled is being pulled with a force of 120 N at an angle of 35o with the horizontal. How far is the sled pulled if 1100 J of wor
natta225 [31]

Answer:11.2 m

Step-by-step explanation:

Given

Force Applied F=120 N

inclination \theta =35^{\circ}

Force has two components here i.e. F\cos \theta and F\sin \theta

F\cos \theta will will do work

Work done is given by force time displacement

W=120\cdot \cos 35\times s

1100=120\times \cos 35\times s

s=11.19\approx 11.2 m

7 0
3 years ago
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