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FinnZ
2 months ago
14

If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?

Mathematics
2 answers:
Leona [12.6K]2 months ago
7 0

Answer:

Step-by-step explanation:

Let's examine option D momentarily. Calculating (a + b)x results in (2x - 4) + (x + 2) = 3x - 2, which is not a quadratic expression. Option C leads to the same outcome.

For option B, altering the numerator or denominator doesn't yield a quadratic expression.

The form (2x - 4)/(x + 2) cannot be manipulated to produce an x^2 term.

Therefore, option A remains.

Multiplying (2x - 4)(x + 2) gives 2x^2 + 4x - 4x - 8

which simplifies to 2x^2 - 8 after the middle terms cancel.

Despite the middle term elimination, the expression 2x^2 - 8 clearly remains quadratic.

babunello [11.8K]2 months ago
3 0

Answer:

Step-by-step explanation:

The correct expression is ab(x).

Since ab(x) equals (2x - 4)(x + 2) which factors to 2(x - 2)(x + 2),

this simplifies to 2(x^2 - 4) and finally to 2x^2 - 8, forming a quadratic function.

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If mJI = (3x+2)°, mHLK = (15x-36)°, and m∠HML = (8x-1)°, find mHLK
lawyer [12517]

Response:

The measure of mHLK is "(204)°".

Step-by-step breakdown:

Given values include:

mJI = (3x+2)°

mHLK = (15x-36)°

and,

m∠HML = (8x-1)°

then,

What is mHLK?

Now,

Utilizing the chord-chord angle formula, we find

mHMK=\frac{1}{2}(mJL+mHLK)

Inserting the known values into the equation gives us

⇒  (8x-1)=\frac{1}{2}(15x-36+3x+2)

By carrying out cross-multiplication, we arrive at

⇒  2(8x-1)=18x-34

⇒  16x-2=18x-34

By subtracting "18x" from both sides, we obtain

⇒  16x-2-18x=18x-34-18x

⇒  -2x-2=-34

Upon adding "2" to both sides, we end up with

⇒  -2x=-34+2

⇒  -2x=-32

⇒  x=\frac{32}{2}

⇒  x=16

By substituting the value of "x" into mHLK = (15x-36)°, we calculate

⇒ (15x-36)° = (15×16-36)°

⇒                = (240-36)°

⇒                = (204)°

Thus, mHLK = (204)°

4 0
1 month ago
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