Answer:
f(g(3)) = -7
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Functions
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = -2x + 7
g(x) = x² - 2
<u>Step 2: Find f(g(3))</u>
- Substitute in <em>x</em> [Function g(x)]: g(3) = 3² - 2
- Evaluate exponents: g(3) = 9 - 2
- Subtract: g(3) = 7
- Substitute in g(3) [Function f(x)]: f(g(3)) = -2(7) + 7
- Multiply: f(g(3)) = -14 + 7
- Add: f(g(3)) = -7
The slope of the line would be -2/3x but the answer to the equation is y= 6-2/3x
It looks like it wants the arc length of the circle from point P to point E. Use the fact that there are 360 deg in a circle being subdivided by the five points of the pentagon.
Answer:
11/26
Step-by-step explanation:
we know that there are 26 different letters in the alphabet.
In the word PERMUTATIONS there are 11 different letters (letter T is repeated twise, so we count it once)
so the probebility is 11/26
Answer:
Volume,
Step-by-step explanation:
We have,
Area of the base of of a pyramid with a square base is 12.7 ft
Height of the pyramid is 17.8 ft
It is required to find the volume of of a pyramid with a square base.
The formula used to find the volume of a pyramid with a square base is given by :
Plugging all the values in above formula
So, the volume of a pyramid is .