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Mandarinka [93]
3 years ago
14

Consider these functions

Mathematics
1 answer:
vitfil [10]3 years ago
5 0

9514 1404 393

Answer:

  C.  3x² +24

Step-by-step explanation:

Use the given function definitions and simplify.

  g(f(x))=g\left(\dfrac{1}{3}x^2+4\right)\\\\=9\left(\dfrac{1}{3}x^2+4\right)-12\\\\=3x^2+36-12\\\\\boxed{g(f(x))=3x^2+24}\qquad\textbf{matches C}

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If anyone knows the answer to these can u please help? thank you! :)
Dennis_Churaev [7]

Answers:

  • A) Ray QS or Ray QR
  • B)  Line segment QS or SQ
  • C)  Plane QSR
  • D)  Line QS or RQ

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

Explanation:

Part A)

When naming a ray, always start at the endpoint. This is the first letter and we'll start with point Q.

The second letter is the point that is on the ray where the ray aims at. We have two choices S and R as they are both on the same ray. That's why we can name this Ray QS and Ray QR.

--------------------

Part B)

A segment is named by its endpoints. The order of the endpoints doesn't matter so that's why segment QS is the same as segment SQ. To me, it seems more natural to read from left to right, so QS seems better fitting (again the order doesn't matter).

--------------------

Part C)

When forming a plane, you need 3 noncollinear points. The term "collinear" means the points all fall on the same line. So these three points cannot all fall on the same straight line. In other words, we must be able to form a triangle of some sort.

So that's how we get the name "Plane QSR". The order of the letters doesn't matter.

--------------------

Part D)

To name a line, we just need to pick two points from it. Any two will do. The order doesn't matter. So that's how we get Line QS and Line RQ as two aliases for this same line. It turns out that there are 6 different ways to name this line.

  1. Line QR
  2. Line QS
  3. Line RQ
  4. Line RS
  5. Line SQ
  6. Line SR
4 0
2 years ago
I was absent the day they taught this and my teacher refuses to teach me
julsineya [31]

Step-by-step explanation:

it's something in algebra i don't remember but basically the top number (12) has the x on the bottom which is multiplication and the bottom number (8) has addition so those tell u how ur supposed to get those numbers

so basically u need to find two numbers that add up to 8 and multiply to 12 so the factors are 6 and 2 because 6 • 2 is 12 and 6 + 2 = 8. hope this helps

7 0
3 years ago
Read 2 more answers
Maddie has saved $375 for a new mountain bike. Her grandmother will also give her
Artist 52 [7]

Answer:

375+215 is greater than or equal to p

Step-by-step explanation:

quick maths

8 0
3 years ago
Solve the System of<br> Equations. Show your work <br><br> Y=x + 6<br> x + y= -2
Flauer [41]
Substitute first Y for the second Y
So it would be x + x + 6 = -2
Then it would be 2x +6 = -2
Move the 6 over so it would be 2x =-8
Divide by 2 your answer is x = -4
4 0
3 years ago
What is the simplified form of 2 over x squared plus x minus 1 over x ?
Dmitriy789 [7]
I hope this helps you

4 0
3 years ago
Read 2 more answers
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