The exponential function f(x) can represent growth or decay
The value of f(14) is 226.07
<h3>How to determine the value of f(14)?</h3>
The given parameters are:
f(-2) = 25 and f(7) = 85
An exponential function is represented as:
f(x) = ab^x
So, we have:
ab^-2 = 25
Also, we have:
ab^7 = 85
Divide both equations.
This gives
b^9 = 3.4
Take the 9th root of both sides
b = 1.15
Recall that:
ab^7 = 85
This gives
a* 1.15^7 = 85
Solve for a
a = 31.95
So, the exponential function is:
f(x) = 31.95 * 1.15^x
Substitute 14 for x
f(14) = 31.95 * 1.15^14
f(14) = 226.07
Hence, the value of f(14) is 226.07
Read more about exponential functions at:
brainly.com/question/11464095
Answer:
85 messages
Step-by-step explanation:
The system of equations for this is
35 + .10x
18 + .3x
where x = the number of text messages
Usually, you would use substitution or elimination to solve this problem. However, because the answer choices were given, you can just plug in the values.
When you plug in 85, or x = 85, you get 43.5 for both equations because
35 + .10(85) = 43.5 18 + .3(85) = 43.5
Therefore, the answer would be 85 messages becuase both plans will cost the same when you send 85 text messages!
:)
Given:
Cone shape: radius = 24 cm ; height = 6cm
Cylinder: radius = 16cm
We need to find the volume of each shape.
Volume of a cone = π r² h/3 = 3.14 * 24² * 6/3 = 3.14 * 576 * 2 = 3,617.28
Volume of a cylinder = π r² h
3,617.28 = 3.14 * 16² * h
3,617.28 = 3.14 * 256 * h
3,617.28 = 803.84 h
3,617.28 / 803.84 = 803.84h/803.84
4.5 = h
The height of the cylinder is 4.5cm
Answer:
t < 5
Step-by-step explanation:
47 > 6t + 17
30 > 6t
5 > t
t < 5
