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vesna_86 [32]
3 years ago
10

Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t

he zeros to find the line of symmetry of the parabola represented by the equation.
What is the equation for the line of symmetry of the parabola represented by the equation y=2x^2+28x+96?


Enter your answer as the correct equation, like this: x = 42
Mathematics
1 answer:
gavmur [86]3 years ago
4 0

Answer:

x=-7

Step-by-step explanation:

We have been given an equation y=2x^2+28x+96. We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

2x^2+28x+96=0

Dividing both sides by 2:

x^2+14x+48=0

Splitting the middle term:

x^2+6x+8x+48=0

(x^2+6x)+(8x+48)=0

x(x+6)+8(x+6)=0

(x+8)(x+6)=0

Using zero product property:

(x+8)=0\text{ (or) }(x+6)=0

x+8=0\text{ (or) }x+6=0

x=-8\text{ (or) }x=-6

Therefore, the zeros of the given equation are x=-8\text{ (or) }x=-6.

We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

\frac{-8+(-6)}{2}=\frac{-14}{2}=-7

Therefore, the equation x=-7 represents the line of symmetry of the given parabola.

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Convert the following numbers to engineering notation. Where applicable, solve and show answer in engineering notation. (8.2 × 1
snow_tiger [21]

Engineering notation of the number  (8.2 × 103) × (5.0 × 104) is

4.39192 × 10⁵

OR

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<h3>What is engineering notation ?</h3>

Engineering notation is same as scientific notation.

According to the given question

Converting (8.2 × 103) × (5.0 × 104) to engineering notation can be done using a base and raising it to the power of 10.

Base can be greater than or equal to 1 and less than 10.

Suppose base is a

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=4.39192 × 10⁵

= 4.4 ₓ 10⁵.

Learn more about scientific notation here :

brainly.com/question/18073768

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Answer:

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Step-by-step explanation:

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Height after 5 minutes = 35000 - 125000 = 22,500 feet

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