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sertanlavr [38]
3 years ago
8

What are the roots of the polynomial equation x3-7x=6x-12?

Mathematics
2 answers:
Ilia_Sergeevich [38]3 years ago
7 0
This is not a polynomial equation unless one of those is squared.  As it stands x=-.833.  If you can tell me which is squared I can help solve the polynomial.

Ok, that is usually notated as x^3 to be clear.   I'll solve it now.

x^3-13x-12=0

Then use factor theorum to solve x^3-13x-12/x+1 =0
So you get one solution of x+1=0
x=-1

Then you have x^2-x-12 now you complete the square.

Take half of the x-term coefficient and square it. Add this value to both sides. In this example we have:

The x-term coefficient = −1

The half of the x-term coefficient = −1/2

After squaring we have (−1/2)2=1/4

When we add 1/4 to both sides we have:

x2−x+1/4=12+1/4

STEP 3: Simplify right side

x2−x+1/4=49/4

STEP 4: Write the perfect square on the left.

<span>(x−1/2)2=<span>49/4
</span></span>

STEP 5: Take the square root of both sides.

x−1/2=±√49/4

STEP 6: Solve for x.

<span>x=1/2±</span>√49/4

that is,

<span>x1=−3</span>

<span>x2=4</span>

<span>and the one from before </span>

<span>x=-1</span>

MatroZZZ [7]3 years ago
6 0
This is not a polynomial equation unless one of those is squared.
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What is the factorizaion of the polynomial graphed below? assuming it has no constant factor.​
Oxana [17]

Answer:

y = 0.96(x -√5)(x + √5).

Step-by-step explanation:

The two zeros of this polynomial are (0, 0) and (5, 0), and the vertex is (2.5, -6), all of this info readily available from the graph.

The standard equation of a vertical parabola with vertex at (h, k) is

y - k = a(x - h)^2, where the vertex is represented by (h, k).  Since we know that the vertex is (2.5, -6), the equation for the given graphed parabola is

y + 6 = a(x - 2.5)^2

Since the graph of this parabola goes through the origin, (0, 0), the following must be true if we substitute 0 for both x and y:

0 + 6 = a(0 - 2.5)^2, or 6 = a(6.25).  Thus, a = 6/6.25, or a = 0.96.

The equation of this polynomial must then be:

y + 6 = 0.96(x - 2.5)^2, which is satisfied by both (0, 0) and (5, 0).

This equation can be rewritten as

y = 0.96(x^2 - 5x + 6.25) - 6 = 0.96x^2 - 4.8x + 6 - 6, or just

y = 0.96x^2 - 4.8x.  We must factor this.  Factoring out 0.96, we get:

y = 0.96(x^2 - 5), which can be factored further:  

y = 0.96(x -√5)(x + √5).  This is the fully factored form of the polynomial.

5 0
3 years ago
Help pls if someone could explain how to do it (or just do it) that would be great
Drupady [299]

Answer:

okay for #2 do 3 times 3.14 divided by 4

Step-by-step explanation:

do that and tell me what you get

8 0
3 years ago
Help please!!!!! ASAP!!! Only brainliest answer gets points. No wrong answers. Only answer if you know how to do this.
FinnZ [79.3K]

Answer:

The number of pounds of coffee in stock decreased by 9% each hour since the trend began.

There were 40 pounds of coffee in stock when the trend began.

Step-by-step explanation:

p(x)=0.4(.91)^x

      = a b^x

where a is the initial value and b = 1-rate of decrease

We know that the number of pounds of coffee will decrease as time goes on.

.4 is the initial value

It is in the hundreds of pound

.4 * 100 = 40 pounds

x is the number of hours

.91 = 1- rate of decrease

Subtract 1 from each side

.91-1 =-rate of decrease

-.09 = -rate of decrease

rate of decrease = .09

rate of decrease = 9 %

That means we keep 91 % of the coffee and sell 9% of the coffee


Lets check the statements:

There were 400 pounds of coffee in stock when the trend began.

False  there were 40 pounds when we started


The number of pounds of coffee in stock decreased by 9% each hour since the trend began.

True  see above calculations


There were 4000 pounds of coffee in stock when the trend began.

False  see above calculations


There were 40 pounds of coffee in stock when the trend began.

True  see above calculations


The number of pounds of coffee in stock decreased by 91% each hour since the trend began.

False  see above calculations


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A university has 39,630 students in a random sample of 240 students 16 speak three or more Languages predict the number of stude
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2642 students speak 3 or more languages

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Native people in the Amazon Rainforest use a toxin to help them catch fish. The toxin interferes with the gas exchange in the fi
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Answer:

A

Step-by-step explanation:

4 0
3 years ago
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