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Serga [27]
3 years ago
11

Write an equation to describe the relationship between x and y.

Mathematics
2 answers:
sesenic [268]3 years ago
5 0

Answer:

y=4.5x

Step-by-step explanation:

I luv ur profile picture! (:

Igoryamba3 years ago
3 0

Answer:

y = 4.5x

Step-by-step explanation:

<u>Given:</u>

  • x= 2 ⇒ y=9
  • x=5 ⇒ y=22.5
  • x=8 ⇒ y=36

<u>We can see that:</u>

  • 9/2 = 22.5/5 = 36/8 = 4.5

<u>Therefore the relationship between x and y is:</u>

  • y = 4.5x
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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
A curve has equation y=2/x square root what is dy/dx
Dafna11 [192]

Answer:

dee y by dee x

Step-by-step explanation: hope this helps! have a supercalifragilisticexpialidocious day! ◑﹏◐

8 0
3 years ago
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Which formula can be used to express the law of conservation of momentum, where p = momentum?
Anestetic [448]

Answer:

The answer is A. pi=pf

Step-by-step explanation:

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3 years ago
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For Judy's birthday, her friend gave her a gift card. She went to the clothing store and bought a total of $178.25 worth of clot
vladimir1956 [14]

Answer:

<h3>The percentage is <u>60%</u> of the total amount paid with the gift card. </h3>

Step-by-step explanation:

Given:

Total worth of clothing is $178.25 and the amount paid with cash is $71.30.

Let us find the part of amount  paid with the gift card:

Amount of gift card(G) = Total worth(T) - Amount paid in cash(C).

G\ =\ 178.25-71.30

G\ =\ 106.95.

So, the amount paid with the gift card is $106.95.

Now, according to question:

\frac{106.95}{178.25}\times100

=0.6\times100

=60%.

Therefore, the percentage is <u>60%</u> of the total amount paid with the gift card.

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3 years ago
A car has a 15 gallon gas tank. If a car gets 32 miles per gallon and travels 384 miles, how much gas will be left in the tank?
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96 miles left in the gas tank
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