Any function in the form
is known as an
exponential function. And one of the important things to know about such functions is that the
is the value of the function when
. Check it out:
Recall that
any number to the zero power is 1, so this becomes:
So, again, when
we see that
. (Don't forget that
is the same thing as
!) This represents the point
, which is also the y-intercept of the function!
Answer:
Each senior citizen ticket costs $7 and each child ticket costs $5.
Step-by-step explanation:
Let,
x be the price of each senior citizen ticket
y be the price of each child ticket
According to given statement,
x+4y=27 Eqn 1
6x+8y=82 Eqn 2
Multiplying Eqn 1 by 2
2(x+4y=27)
2x+8y=54 Eqn 3
Subtracting Eqn 3 from Eqn 2
(6x+8y)-(2x+8y)=82-54
6x+8y-2x-8y=28
4x=28
Dividing both sides by 4
Putting x=7 in Eqn 1
7+4y=27
4y=27-7
4y=20
Dividing both sides by 4
Hence,
Each senior citizen ticket costs $7 and each child ticket costs $5.
Answer:
4x
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
So we have the two functions:
And we want to find:
So, find f(-1) first. Substitute -1 into f(x):
Square:
Multiply:
Add:
Now, substitute this into h(f(-1)):
So, substitute 4 into h(x):
Add:
Square:
Multiply:
Subtract:
So, our answer is B.
And we're done!
Answer:
125 cm³
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume of a Cube Formula: V = a³
- <em>a</em> is a side length
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>a</em> = 5 cm
<u>Step 2: Find Volume</u>
- Substitute in variables [Volume of a Cube Formula]: V = (5 cm)³
- Evaluate exponents: V = 125 cm³