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White raven [17]
3 years ago
12

F(x) = 3x^2 -15 g(x) = 1 -2/3x

Mathematics
1 answer:
Oliga [24]3 years ago
8 0

Answer:

f(g(-6)) is equal to 60

Step-by-step explanation:

We can simply solve this by first plugging -6 into function 6, and then applying function f to the result of that.

f(g(-6))\\= f(1 - \frac{2(-6)}{3})\\= f(1 - \frac{-12}{3})\\\\= f(1 + 4)\\= f(5)\\= 3(5)^2 - 15\\= 3 * 25 - 15\\= 75 - 15\\= 60

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I would love your guys help!! ASAP!!
sweet [91]

9514 1404 393

Answer:

  1. 3/2
  2. it is the ratio of oil to vinegar in the dressing
  3. y = 3/2x

Step-by-step explanation:

1. The table can be filled in like this:

  • (x, y)
  • (0, 0)
  • (2, 3)
  • (4, 6)
  • (6, 9)

The constant of proportionality is the ratio of y to x:

  k = 3/2

__

2. The meaning of the constant of proportionality is just what it is defined to mean: the ratio of oil to vinegar in the dressing.

__

3. The equation is y=kx, where k is the value in part 1:

  y = (3/2)x

6 0
3 years ago
Select the correct answer. What is the quotient when (16x^4 + 40x^3 - 24x^2) is divided by 8x^2?
ankoles [38]

Answer:

<h3>  (2x - 1) 4</h3>

STEP

1

:

Equation at the end of step 1

 ((((16•(x4))-(32•(x3)))+(23•3x2))-8x)+1

STEP  

2

:

Equation at the end of step

2

:

 ((((16•(x4))-25x3)+(23•3x2))-8x)+1

STEP  

3

:

Equation at the end of step

3

:

 (((24x4 -  25x3) +  (23•3x2)) -  8x) +  1

8 0
3 years ago
. a) Divide Rs 84 in 1:2 ratio.​
Margarita [4]

Answer:

total ratio 1+2 = 3

1/3 × 84

= 28

1/2× 84

= 42

5 0
3 years ago
Why is the formula for finding the area of a parallelogram for the same as for the rectangle?
bagirrra123 [75]

Answer:

Step-by-step explanation:

The reasons why the area of parallelogram and rectangle are the is that the two opposite sides are equal, they have the lines of symmetry, the sum of their angles is equal to 360°

5 0
3 years ago
Help! Check if my answer is right please, I’m marking brainliest!!!
Flauer [41]

9514 1404 393

Answer:

  B.  50.1  --  you are correct

Step-by-step explanation:

The relation in this geometry is ...

  BW² = BU·BL

  BW = √(33(33+43)) ≈ 50.08

  BW ≈ 50.1

6 0
3 years ago
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