I have a good record of guessing the right one so I would say #1.
Answer:
1) decay
2) growth
3) growth
Step-by-step explanation:
A generic exponential function can be written as:
f(x) = A*(r)^x
Where:
A is the initial amount of something.
r is the rate of growth.
x is the variable, usually, represents time.
if r > 1, we have an exponential growth.
if r < 1, we have an exponential decay.
1) f(x) = (3/4)^x
in this case we have:
A = 1
r = (3/4) = 0.75
Clearly, r < 1.
Then this is an exponential decay.
2) f(x) = (1/6)*4^x
In this case we have:
A = (1/6)
r = 4
Here we have r > 1.
Then this is an exponential growth.
3) f(x) = (1/4)*(5/2)^x
in this case we have:
A = 1/4
r = 5/2 = 2.5
here we have r > 1, then this is an exponential growth.
Answer:
9
Step-by-step explanation:
9 × 9 = 81
81 + 40 = 121
121 is the amount of money you want so you just have to mow 9 lawns to get your exact amount of money you need.
The height of the heater is about 89.3 in.
You can solve this problem with the Pythagorean Theorem. The base is a square. So half way across the middle will the right under the tip of the pyramid. We can use the measurement with the slant height to write and solve the equation below.
23.8^2 + x^2 = 90.1^2
x will be about 89.3.
Move all terms not containing X to the right side of the inequality
Answer: X < -1
Hope this helps! :)
~Zane
