Simplify.(4x² – 3x + 2) - (2x² + 5x - 7).

Mathematics

2 answers:

andrezito [222]3 years ago

8 0

Answer:

2x² - 8x + 9

Step-by-step explanation:

To avoid confusion, distribute that negative, especially because 2 and 7 are being added together [double negative], or just simply do this:

(4x² – 3x + 2)

- (2x² + 5x - 7)

_______________

2x² - 8x + 9

* Distribute the negative amongst all terms in the second set of parentheses.

I am joyous to assist you anytime.

DiKsa [7]3 years ago

7 0

Answer: 2x² - 8x + 9

Step-by-step explanation: this is our initial equation:

(4x² – 3x + 2) - (2x² + 5x - 7)

the subtraction sign which is to the left values is multiplying to the values into the parenthesis

(-) * (2x² + 5x - 7)

so this factor change the sign to every value into the parenthesis, then we get the following equation.

-2x² - 5x + 7

after this we get this final equation

4x² – 3x + 2 - 2x² - 5x + 7

then we resolve the equation with the similar values

4x² - 2x² = 2x²

– 3x - 5x = - 8x

+ 2 + 7 = 9

after this we place values in one equation, and we get the form simplified

2x² - 8x + 9

and this the last equation after resolve all the problems into the parenthesis.

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nikklg [1K]

<h3>Answer: choice 4. f(x) and g(x) have a common x-intercept</h3>

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Explanation:

For me, it helps to graph everything on the same xy coordinate system. Start with the given graph and plot the points shown in the table. You'll get what you see in the diagram below.

The blue point C in that diagram is on the red parabola. This point is the x intercept as this is where both graphs cross the x axis. Therefore, they have a common x intercept.

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Side notes:

Choice 1 is not true due to choice 4 being true. We have f(x) = g(x) when x = 2, which is why f(x) > g(x) is not true for all x.
Choice 2 is not true. Point B is not on the parabola.
Choice 3 is not true. There is only one known intersection point between f(x) and g(x), and that is at the x intercept mentioned above. Of course there may be more intersections, but we don't have enough info to determine this.