Which of the following functions is graphed below

Mathematics

2 answers:

Diano4ka-milaya [45]4 years ago

7 0

I think the answer is c.

Nady [450]4 years ago

3 0

Not sure but my guess is answer B but you might want to check around be for taking my advice on this.

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Choose the correct simplification of the expression (2x - 6)(3x2 - 3x - 6). (4 points) Select one: a. 6x3 - 24x2 + 6x + 36 b. 6x

attashe74 [19]

Answer:

a. 6x^3 - 24x^2 + 6x + 36

Step-by-step explanation:

These are expanded using the distributive property, which is also used for collecting terms.

(2x - 6)(3x2 - 3x - 6) = 2x(3x^2 - 3x - 6) - 6(3x^2 - 3x - 6)

= 6x^3 -6x^2 -12x -18x^2 +18x +36

= 6x^3 +(-6-18)x^2 +(-12 +18)x +36

= 6x^3 -24x^2 +6x +36 . . . . . . matches selection A

_____

<em>Comment on strategy</em>

For multiple-choice questions, it often works well to find a way to identify a viable answer with the minimum amount of work. Comparing these answer choices, you can see that determining the correct values of the x-term and the constant term will let you pick the right choice.

The constant term is easy, because it is simply the product of the constants (-6)(-6) = 36. This narrows the choices to A and C.

The x-term will be the sum of products of x-terms and constants:

2x(-6) +(-6)(-3x) = -6(2x-3x) = -6(-x) = 6x

This narrows the choices to A alone.

5 0

4 years ago

troy's truck has a 30 gallon gas tank and gets an average of 21 miles per gallon.write an equation to represent the amount of ga

GuDViN [60]

Let

x---------> represent the number of miles Troy's has driven

y--------> represent the amount of gas in Troy's truck

we know that