Answer:
(-3, 4)
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
- Subtract Property of Equality
<u>Algebra I</u>
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -x + 1
2x + 3y = 6
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x + 3(-x + 1) = 6
- Distribute 3: 2x - 3x + 3 = 6
- Combine like terms: -x + 3 = 6
- Isolate <em>x</em> terms: -x = 3
- Isolate <em>x</em>: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = -x + 1
- Substitute in <em>x</em>: y = -(-3) + 1
- Simplify: y = 3 + 1
- Add: y = 4
Answer:
(0, 3)
Step-by-step explanation:
The y-intercept of any function can generally be defined as: 
, since the y-intercept is when the function crosses the y-axis.
Anywhere on the y-axis, the x-value = 0, so the x value of the y-intercept will always be 0, and the y value is f(0), since x=0.
By looking at the graph it appears to intercept the y-axis at (0, 3) which should be the answer
This is a classic example of Scientific Notation.
5.3 x 10^5 actually equals 530,000
3.8 x 10^4 actually equals 38,000
Since it is asking for the sum of the numbers you are adding.
Your new equation look like this:
530,000 + 38,000
= 568,000
now all you have to do is count the decimal points. You start from the end zero and count the spaces in between until you get to the tenths place. (Right behind the first number) There are 5
So your answer will be:
B. 5.68 x 10^5.
Answer:
688.7
Step-by-step explanation:
Top and Bottom
Area = 3/4 * pi * r^2
r = 6
Area = 3/4 * 3.14 * 6^2
Area = 84.78
Don't round yet.
Vertical surface
Vertical surface = 3/4 * pi * d * h
d = 12 inches (the diameter)
Vertical surface = 3/4 * 3.14 * 12 * 15
Vertical surface = 423.9
Two inner faces
They are both rectangles
Area = 2 * L * W
L = 15
w=6
Area = 2 * 15 * 6 <u> 180</u>
Total 688.68
Total = 688.7
