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Anarel [89]
2 years ago
7

If g(x)=2x+1 and h(x)=x-2 then find (g-h)(x)

Mathematics
1 answer:
qwelly [4]2 years ago
4 0
(g-h)(x) = 2x+1 -(<span>x-2)
</span>(g-h)(x) = 2x+1 - x + 2
(g-h)(x) = x + 3
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The table shows three unique functions.
Dovator [93]

Answer:

<h2>All three functions have a y-intercept.</h2>

Step-by-step explanation:

The table is attached, there you can observe functions f(x), g(x) and h(x).

Remember, when x = 0, it represents a y-intercept. So, we can deduct that all three functions have y-intercept, (0,1) for f(x), (0, -1/2) for g(x) and (0,-5) for h(x).

Also, x-values represent domain values, however, in this case, we can't say that all three function have the same domain values, because we don't know the domain defintion for each of them to determine such thing.

Additionally, in the table you can observe that f(x) has the greatest maxium, so the second choice is also false. And neither function has x-intercept.

Therefore, the only right answer is the third choice.

5 0
3 years ago
Solve each system of equations algebraically. For each one, explain what the solution (or lack thereof) tells you
Paul [167]

Answer:

a: no solutions

b: (2, 3)

Step-by-step explanation:

a:

In both equations, the slope of x is the same, but the y-intercept is not, which means they are parallel. Therefore, this system of equations has no solutions.

b:

Since both of the equations are equal to y, we can set them equal to each other:

\frac{1}{2}x^2+1= 2x-1\\x^2 + 2 = 4x - 2\\x^2-4x+4=0

We can solve by factoring (by finding a number that multiplies to 4 and adds up to -4):

(x-2)^2 = 0

x = 2

Now, to find y, plug-in x to any of the equations:

y = 2*2-1 = 3

Therefore, the solution to this system of equation is (2, 3)

I hope this helped.

4 0
3 years ago
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zloy xaker [14]

Answer:

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Step-by-step explanation:

-27/-3

27/3 is 9

each of them have a negative so it stays positive

9

7 0
3 years ago
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balandron [24]

p(80+60)=560

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3 years ago
SQRT is a parallelogram. If m∠QST = 72°, which of the following statements is true?
Mrrafil [7]
The answer to your question is option b because opposite angles in a quadrilateral are equal to one another
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3 years ago
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