d ≥ -7 ? (ignore.....................................................................................................................................)
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
Irrational, rational, rational, irrational, irrational
Answer:
He should buy the first washing machine.
50% of 520 = 260
1st washing machine 520 - 260 = 260
20% of 520 = 104
2cd washing machine 520 - 104 = 416
1st is cheaper
Answer:
Length = 8 in. Perimeter = 28 in.
Step-by-step explanation:
The equation for finding area is: A = l*w
Let's put the values we already know into the equation
48 = l * (6)
Divide both sides by 6 to isolate the l
8 in. = l
We know this answer is correct because 8 * 6 = 48
Now that we know that the length is equal to 8, we can solve for the perimeter.
To find the perimeter you have to add the values of all of the sides together.
Since we know that the top of a letter box is in the shape of a rectangle, we know that two of the sides are 6 in. and the other two sides are 8 in.
6 + 6 + 8 + 8 = 28 in.