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attashe74 [19]
3 years ago
13

Princess Poly has found most of the matches after spending a few hours working on the map of the garden and the labeled fences.

She has one piece of fencing left and three rectangular plots it might belong to.
The polynomial label for the final section of fencing is r(x)=2x3+x2−41x+20.

One of the rectangular plots has a side labeled as c(x)=x+1.

Which method shows the correct way to test whether c(x) is a factor of r(x)?
Mathematics
1 answer:
vovangra [49]3 years ago
7 0

Answer:

46

Step-by-step explanation:

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The length of a rectangular garden is 7 meters longer than its width. if its perimeter is ( 12 x + 14) meters, find its length i
cluponka [151]
L=7+w
P=(12x+14)=2(6x+7)
l+w= P/2 = 2(6x+7)/2= 6x+7
l+w=6x+7
2l = 6x+7
l = (6x+7)/2
l=7+w
-> w= l-7
= [(6x+7)/2] -7
= (6x+7-14)/2
= (6x-7)/2

7 0
3 years ago
If a polynomial function f(x) has roots -8, 1, and 6i, what must also be a root of f(x)?
Naddik [55]

Answer:

it must also have the root : - 6i

Step-by-step explanation:

If a polynomial is expressed with real coefficients (which must be the case if it is a function f(x) in the Real coordinate system), then if it has a complex root "a+bi", it must also have for root the conjugate of that complex root.

This is because in order to render a polynomial with Real coefficients, the binomial factor  (x - (a+bi)) originated using the complex root would be able to eliminate the imaginary unit, only when multiplied by the binomial factor generated by its conjugate: (x - (a-bi)). This is shown below:

(x-(a+bi))*(x-(a-bi))=\\(x-a-bi)*(x-a+bi)=\\([x-a]-bi)*([x-a]+bi)=\\(x-a)^2-(bi)^2=\\(x-a)^2-b^2(-1)=\\(x-a)^2+b^2

where the imaginary unit has disappeared, making the expression real.

So in our case, a+bi is -6i (real part a=0, and imaginary part b=-6)

Then, the conjugate of this root would be: +6i, giving us the other complex root that also may be present in the real polynomial we are dealing with.

5 0
3 years ago
The zookeeper needed a new uniform for work. He bought his hat for $26.92, his shirt for $54.73, and his pants for $33.28. How m
Mumz [18]
114.93 because when you add them you get that answer
7 0
3 years ago
A train leaves Los Angeles at 2 p.m. heading north at 50 mph. If the next train leaves three hours later and also heads north at
Mamont248 [21]
Since the first train has been travelling for 3 hours, we have the following equations:
d=50t+3*50=50t+150
d=60t

We want to know when they will be equal, so set these equal to eachother:
60t=50t+150
10t=150
t=15

So 15 hours after the second train leaves, they will be at the same distance. This is at 8AM since the second train leaves at 5PM. 
5 0
3 years ago
Read 2 more answers
Find the surface area of the composite solid. round the answer to the nearest hundredth.
lubasha [3.4K]
The picture in the attached figure

[surface area of the composite solid]=1*(4*6)+2*(4*4)+2*(4*6)+2*(4*√13/2)+2*(6*2√2/2)
[surface area of the composite solid]=24+32+48+4√13+12√2
[<span>surface area of the composite solid]=135.39 yd</span>²

the answer is
135.39 yd²

5 0
3 years ago
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