Hello there!
I want you to think of functions as machines! Let's start with one function, and we will call it f. if we were to plug in x to the machine, x would be an input. Let's say we get 1 everyone we plug in x to the f machine. This would mean the 1 is the output! f(x)=1
Now let's talk about composite functions! Let's say we have TWO machines, f and g. If we plug in x to the f machine, then we would get 1. If we plugged that 1 that we got as an output from the f machine into the g machine, then we would have g(1)=5. THIS is how a composite function works. g(1) is actually g(f(x)) because f(x)=1.
I REALLY hope this analogy helps you out! I apologize if it doesn't, however I've noticed that many people have had success in thinking about functions in this way!
If you need more elaboration, feel free to message me!
Best wishes :)
We know the bottom triangle is a 45, 45, 90 triangle, so the hypotenuse is √2 times the value of the legs:
(√2)(√2)
=√4
=2
Now, we can use this to solve for y. The top triangle is a 30, 60, 90 triangle. The side we found above is the side across from the 30 degree angle. The side opposite the 60 degree angle is √3 times the side across the 30 degree angle. Therefore, we can solve for y by multiplying 2 by √3
y=2√3
Answer:
B
Step-by-step explanation:
Answer:
Step-by-step explanation:
The slope of line u is 9/2; the line perpendicular to that is the opposite reciprocal...opposite sign and the flip of the fraction. The perpendicular slope is -2/9
If you would like to know the total value of the liquid in the container, you can calculate it using the following steps:
A cone:
a radius (r) ... 1 in.
a diameter ... 2 in.
a height (h) ... 9 in.
<span>π ... 3.14
</span>
Cone volume formula:
V = 1/3 * π * r^2 * h
V = 1/3 * 3.14 * 1^2 * 9 = 1/3 * 3.14 * 1 * 9
V = 9.42 cubic inches
$2 ... 1 cubic inch
$x = ? ... 9.42 cubic inches
_______________________
2 * 9.42 = 1 * x
x = 2 * 9.42
x = $18.84
The correct result would be $18.84.
