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loris [4]
2 years ago
7

Identify the type of function represented by f(x) = 4•3^x

Mathematics
1 answer:
SVEN [57.7K]2 years ago
7 0

Since the variable x is at the exponent, this is an exponential function.

To decide whether an exponential function is a growing or decaying one, we have to look at the base of the exponent.

If the base is between 0 and 1, we have exponential decay

If the base is larger than 1, we have exponential growth.

In your case the base is 3, which is larger than 1, so you have exponential growth.

Thus, <u>option d</u> is your answer

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Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 97 minutes. Billy could mow the lawn by himself in
s2008m [1.1K]

Answer:

52 minutes i think im not sure i'm not in high school

Step-by-step explanation:


5 0
3 years ago
Two step equation<br><br> n - 5/2 =5
Verdich [7]

Answer:

Step-by-step explanation:

two step equation

n - 5/2 = 5

n = 5 + 5/2

n = 5 + 2.5

n = 7.5

-----------

check

7.5 - 5/2 = 5

7.5 - 2.5 = 5

5 = 5

the answer is good

3 0
2 years ago
A hot air balloon rising vertically is tracked by an observer located 5 miles from the lift-off point. At a certain moment, the
Zigmanuir [339]

Answer:

Step-by-step explanation:

aThe person and the hot air balloon form a right triangle, with the lift-off point as the vertex that form the right angle. If you were to try to solve for the height of the balloon, you would need to use tangent to do so:

tanθ = opp/adj = y/x

y = xtanθ

What this problem ultimately wants to know, is how the distance of the balloon is changing with respect to time: dy/dt. So we need to take the derivative of the above equation (you need to product rule to do so):

dy/dt = (dx/dt)tanθ + xsec2θ(dθ/dt)

We need to find out values for all of the variables:

The observer is not moving, therefore dx/dt = 0.

The observer is standing 4 miles away from the lift-off point, so x = 4.

The angle between the horizontal and the observer's line of sight is π/3, therefore θ = π/3.

The rate of change for the angle, dθ/dt, is 0.1.

Just plug all the numbers in:

dy/dt = (0)tan(π/3) + (4)sec2(π/3)(0.1)

dy/dt = 0 + 1.6

dy/dt = 1.6 mi/min

5 0
2 years ago
Which expression is equivalent to 12(2+3x−6) ?
matrenka [14]
Simplify: 12(2 + 3x - 6)
= (12)(2 + 3x + - 6) = (12)(2) + (12)(3x) + (12)( - 6)
= 24 + 36x - 72
Answer = 36x - 48



2: Factor: 

36x - 48 
= 12(3x -4)

Answer 
= 12(3x -4)



3: <span>12(2+3x−6)

= 12(3x + 2 - 6)

= 12(3x - 4)


Your Answer  would be (A).

3x - 4</span>
7 0
3 years ago
Read 2 more answers
Find the differnce between 6 weeks 2 days and 3 weeks 5 days
konstantin123 [22]

Answer:

42

16

Step-by-step explanation: Well, 1 week = 7 days. So 6 weeks is 6x7 = 42. Because you are looking for the difference between them, you will subtract them. 42 - 2 = 40. And for the 2nd one. 3x7 =21. 21 - 5 = 16.

3 0
3 years ago
Read 2 more answers
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