Answer:
<u>f(g(x)) = 9x² + 15x + 2</u>
Step-by-step explanation:
- f(x) = x² + 5x + 2
- g(x) = 3x
<u>Solving f(g(x))</u>
- f(g(x))
- f(3x)
- f(3x) = (3x)² + 5(3x) + 2
- f(3x) = 9x² + 15x + 2
- <u>f(g(x)) = 9x² + 15x + 2</u>
Answer:
9 represents the initial height from which the ball was dropped
Step-by-step explanation:
Bouncing of a ball can be expressed by a Geometric Progression. The function for the given scenario is:

The general formula for the geometric progression modelling this scenario is:

Here,
represents the initial height i.e. the height from which the object was dropped.
r represents the percentage the object covers with respect to the previous bounce.
Comparing the given scenario with general equation, we can write:
= 9
r = 0.7 = 70%
i.e. the ball was dropped from the height of 9 feet initially and it bounces back to 70% of its previous height every time.
Answer: 5x + 2
Step-by-step explanation:
Answer: the price of a senior citizen's ticket is $8.
the price of a child's ticket is $14
Step-by-step explanation:
Let x represent the price of a senior citizen's ticket.
Let y represent the price of a child's ticket.
On the first day of ticket sales, the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. It means that
3x + y = 38- - - - - - - - - - - -1
The school took in $52 on the second day by selling 3 senior citizen and 2 child tickets. It means that
3x + 2y = 52- - - - - - - - - - - -2
Subtracting equation 2 from equation 1, it becomes
- y = - 14
y = 14
Substituting y = 14 into equation 1, it becomes
3x + 14 = 38
3x = 38 - 14 = 24
x = 24/3
x = 8
Considering the unit circle, it is found that the sine is negative on the third and on the fourth quadrant.
<h3>What is the unit circle?</h3>
For an angle
the unit circle is a circle with radius 1 containing the following set of points:
.
Hence, from the above explanation, the sine is negative when y is negativem, which is on the third and on the fourth quadrant.
More can be learned about the unit circle at brainly.com/question/16852127
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