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skad [1K]
3 years ago
14

Two real-valued functions, f(x) and g(x), are defined as f(x) = x2 + 6x + 9 and g(x) = x2 – 9. Find the results of combining the

se functions.

Mathematics
2 answers:
Elis [28]3 years ago
7 0

Answer:

6(x + 3)=(f-g)(x)

2x(x+3)=(f+g)(x)

next one is (f/g)(x)

then (f*g)(x) hope you can figure it out Plato btw

Step-by-step explanation:

pogonyaev3 years ago
4 0
I hope this helps you

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Point M begins at (5,-2). Write the coordinates of Ry= 1 (M). Is this correctly illustrated
yawa3891 [41]

Answer:

No

Step-by-step explanation:

The reflection (R) around the line y = 1 is not the point illustrated.

Notice that the original point M (5,-2) is THREE (3) units below the line y=1, therefore when doing the reflection, it should end up THREE units above the y=1 line.

That is, it should end up at the point (5,4 ) and not at (5,3) as is shown in the picture.

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3 years ago
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3 0
3 years ago
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The binomial x-2 is a factor of the polynomial below. f(x)=x3+x2+nx+10 What is the value of n?
Nutka1998 [239]
<h3>Answer: n = -11</h3>

=========================================================

Explanation:

Since x-2 is a factor of f(x), this means f(2) = 0.

More generally, if x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.

So if we plugged x = 2 into f(x), we'd get

f(x) = x^3+x^2+nx+10

f(2) = 2^3+2^2+n(2)+10

f(2) = 8+4+2n+10

f(2) = 2n+22

Set this equal to 0 and solve for n

2n+22 = 0

2n = -22

n = -22/2

n = -11 is the answer

Therefore, x-2 is a factor of f(x) = x^3+x^2-11x+10

Plug x = 2 into that updated f(x) function to find....

f(x) = x^3+x^2-11x+10

f(2) = 2^3+2^2-11(2)+10

f(2) = 8+4-22+10

f(2) = 0

Which confirms our answer.

3 0
3 years ago
What is the y intercept for the equation4x-3y=-18
11Alexandr11 [23.1K]

Answer:

y-intercept: (0,6)

Step-by-step explanation:

You can always use an online graph, it helps a lot c:

3 0
3 years ago
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What is subtract two-fifths from 4 times g as an algebraic expression.
MAVERICK [17]

Answer:

4g-2/5

Step-by-step explanation:

4 0
2 years ago
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