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Doss [256]
2 years ago
15

If f(x) = x2 − 3x − 4 and g(x) = x2 + x, what is (f + g)(x)?

Mathematics
1 answer:
Makovka662 [10]2 years ago
8 0

(f + g)(x) = f(x) + g(x) = x² -3x -4+x² +x= 2x² -2x -4

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How many solutions does the system have?
umka21 [38]

One solution

<h2>Explanation:</h2>

For a system of linear equations in two variables, we could have three possible cases:

<h3>Case 1. No solution.</h3>

This happens when the lines are parallel and have different y-intercepts.

<h3>Case 2. One solution.</h3>

This happens when the lines intersect at a single point.

<h3>Case 1. Infinitely many solutions</h3>

This happens when the lines are basically the same having the same slope and y-intercept.

So, let's rewrite our lines in Slope-intercept form y=mx+b:

Line \ 1: \\ \\  4x-2y = 8 \\ \\ 2y=4x-8 \\ \\ y=\frac{4}{2}x-\frac{8}{2} \\ \\ y=2x-4 \\ \\ \\ Line \ 2: \\ \\ 2x + y = 2 \\ \\ y=-2x+2

As you can see, they have different slopes and y-intercepts. So they will intersect at a single point which is the solution of the system. By using graphing tool we get that this point is (1.5, -1) as indicated in the figure below.

<h2>Learn more:</h2>

Parametric equations: brainly.com/question/10022596

#LearnWithBrainly

3 0
3 years ago
Help what’s the equation for the Line in the slope intercept form
Fynjy0 [20]

Answer:

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8 0
2 years ago
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jekas [21]

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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Inga [223]

Answer:

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Step-by-step explanation:

<em><u>The correct question is</u></em>

The sum of three consecutive even integers is -72. what are the three numbers

Let

x ----> the first consecutive even integer

x+2 ----> the second consecutive even integer

x+4 ----> the third consecutive even integer

we know that

x+(x+2)+(x+4)=-72

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so

x+2=-26+2=-24

x+4=-26+4=-22

therefore

the numbers are

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never [62]

Answer:

y=3x

Step-by-step explanation:

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