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Ede4ka [16]
2 years ago
13

Rewrite the following quadratic functions in intercept or factored form. Show your work.

Mathematics
2 answers:
Dmitry [639]2 years ago
7 0

<u>Answer: </u>

f(x) = 3(x+2)(x-2)

<u>Step-by-step explanation: </u>

We are given the following the quadratic function and we are to rewrite it in intercept or factored form:

f(x) = 3x^2 - 12

We can factorize the given function so taking the common factors out of it to get:

f(x)=3x^2 - 12

f(x) = 3 (x^2 - 4)

The term (x^2-4) is in the form a^2-b^2 so it can further be factorized to give:

f(x) = 3 (x+2)(x-2)

Therefore, the factored form of the given quadratic function is f(x) = 3(x+2)(x-2).


aliya0001 [1]2 years ago
3 0

Answer:

3(x-2)(x+2)

Step-by-step explanation:

Given equation is :

f(x) = 3x²-12

We have to rewrite the given function in factored or intercept form.

Since, we know that 3 and 12 are multiples of 3.

taking 3 as common , we get

f(x) = 3(x²-4)

using differernce formula in above equation , we get

a²-b² = (a-b)(a+b)

f(x) = 3(x-2)(x+2)

Hence, the given factors are 3,(x-2) and (x+2).

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Find the solution of this system of equations.
vagabundo [1.1K]
I'm going to use the substitution method.

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y = -x - 4

-8x - 6(-x - 4) = -20
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4 0
3 years ago
3. Kurt's car gets 23 miles to a gallon of gasoline. He filled up his car's gas tank with g gallons. Write an expression that sh
ozzi

The expression D=23g shows the distance that Kurt can drive on a tank of gasoline.

Step-by-step explanation:

Given,

Distance covered by Kurt's car = 23 miles per gallon of gasoline

Kurt fills up tank of his car with g gallons.

Number of gallons in car's tank = g gallons

Distance covered by g gallons = D = Distance covered by one gallon * Number of gallons

D = 23*g

D = 23g

The expression D=23g shows the distance that Kurt can drive on a tank of gasoline.

Keywords: distance, multiplication

Learn more about multiplication at:

  • brainly.com/question/101683
  • brainly.com/question/103144

#LearnwithBrainly

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Answer:

isnt it 10 minutes?

Step-by-step explanation:

thats where the line stops so he rested for 10 minutes

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2 years ago
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