Answer:
2.25, or 2 1/4.
Step-by-step explanation:
3/4 x 3 = 2.25
Answer:Simplifying
6 + -2x = 6x + -10x + 6
Reorder the terms:
6 + -2x = 6 + 6x + -10x
Combine like terms: 6x + -10x = -4x
6 + -2x = 6 + -4x
Add '-6' to each side of the equation.
6 + -6 + -2x = 6 + -6 + -4x
Combine like terms: 6 + -6 = 0
0 + -2x = 6 + -6 + -4x
-2x = 6 + -6 + -4x
Combine like terms: 6 + -6 = 0
-2x = 0 + -4x
-2x = -4x
Solving
-2x = -4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x' to each side of the equation.
-2x + 4x = -4x + 4x
Combine like terms: -2x + 4x = 2x
2x = -4x + 4x
Combine like terms: -4x + 4x = 0
2x = 0
Divide each side by '2'.
x = 0
Simplifying
x = 0
Step-by-step explanation:
Answer:
f⁻¹(x) = x - 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Functions
- Function Notation
- Inverse Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = x + 3
<u>Step 2: Find</u>
- Swap: x = y + 3
- [Subtraction Property of Equality] Isolate <em>y</em>: x - 3 = y
- Rewrite: f⁻¹(x) = x - 3
Answer:
y=-2x+12
Step-by-step explanation:
This is an equation in slope-intercept form:
y=mx+b (where m is the slope and b is the y-intercept)
We are given the slope, -2.
y=-2x+b
We plug in the values (5,2):
2=(-2)*5+b
2=-10+b
b=12
The equation is:
y=-2x+12
Area of rectangle: 15 x 7 = 105
area of semicircle: 1/2 (3.14r^2)
radius is half of diameter so it would be 7.5
1/2 (3.14(7.5)^2)
=1/2 (176.71)
=88.355
rounded is 88.4
