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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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McKenna and Lara work for their uncle Eddie who repairs skateboards and bicycles. Uncle Eddie is leaving for a vacation to the A
natali 33 [55]

Let x be a number of skateboards and y be the number of bicycles in Eddie's repair shop.

Eddie asks the girls to order 54 new wheels for 21 skateboards and bicycles, then

x+y=21.

One scateboard has 4 wheels, then x scateboards have 4x wheels, one bicycle has 2 wheels, then y bicycles have 2y wheels. In total there should be ordered 54 wheels, so

4x+2y=54.

Solve the system of equations:

\left\{\begin{array}{l}x+y=21\\4x+2y=54.\end{array}\right.

From the first equation x=21-y. Substitute it into the second equation:

4(21-y)+2y=54,\\ \\84-4y+2y=54,\\ \\-2y=54-84,\\ \\-2y=-30,\\ \\2y=30,\\ \\y=15.

Then

x=21-15=6.

Answer: 6 scateboards and 15 bicycles.

8 0
3 years ago
Which of the following equations is not a linear equation?
salantis [7]

Answer:

D.

Step-by-step explanation:

All other equations have x or y to the power of one so they are linear. D. has x or y to the power of two, so it's not linear. Quadratics and any variable to the power of 2 and above is not linear (numbers on their own are also always linear, so ignore any powers on them)

8 0
3 years ago
Convert to slope form: 3x-4y=8 then graph the line on the grid.​
alexandr402 [8]

Answer: 3/4

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: 3/4

HOPE THIS HELPS :)

6 0
3 years ago
Given the figure below with m<br> HELP ASAP. I’LL MARK YOU BRAINLIEST!!
Naya [18.7K]

Answer:

c

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Plz, Help me with this question.
Galina-37 [17]
It’s F=10
6(3) - 2(4) = 18 - 8= 10
3 0
3 years ago
Read 2 more answers
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