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grigory [225]
3 years ago
11

Gas is priced at $2.70 per gallon. My gas tank has 2 gallons currently in the tank. Write an equation to show much

Mathematics
1 answer:
Sveta_85 [38]3 years ago
5 0

Answer:

The equation is

2.7x - 5.4

Step-by-step explanation:

Gas is priced at $2.70 per gallon. My gas tank has 2 gallons currently in the tank. Write an equation to how much

the money I will spend to fill up my tank.

Let the total gallons that would fill your tank = x

The tank currently has 2 gallons

A gallon =>$2.70

Therefore, our equation is

=(x - 2) × 2.70

= 2.7x - 5.4

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Step-by-step explanation:

1. We know all the angles in a triangle add up to 180 degrees.

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3. Subtract 15 from both sides

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Write the simplest polynomial function with the given roots 2i, square root of 3, and 4
Volgvan

Answer:

  • y = (x - 4)(x + 2i)(x - 2i)(x + √3)(x - √3) Possible answer
  • y = (x - 4)(x^2 + 4)(x^2 - 3)                    Possible answer

Step-by-step explanation:

The simplest answer is that 2i cannot be a lone root. It must have a twin that is - 2i

√3 has the same sort of rule. It cannot be a root all by itself. It also must have a twin, in this case -√3

So the answer must be

(x - 4)(x + 2i)(x - 2i)(x + √3)(x - √3)      <<< Possible answer

but this can be reduced even further.

  • (x + 2i)(x - 2i) = x^2 - x*2i + x*2i - 4i^2
  • (x + 2i)(x - 2i) = x^2 - 4(i)^2
  • (x + 2i)(x - 2i) = x^2  + 4.               Remember i^2 = - 1

By a similar method (x - √3)(x + √3) = x^2 - 3

So the polynomial is reduced to

(x - 4)(x^2 + 4)(x^2 - 3)  <<<< Answer

If this is not among your answers and the  factored form is not either, please tell me what is.

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3 years ago
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