(3,-1)
Use the V.L.T (Vertical Line Test) and plot the graph points, if you can draw a straight line through any points it cannot be a function.
Answer:
L = P/2 - W
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
P = 2L + 2W
<u>Step 2: Solve for </u><em><u>L</u></em>
- Subtract 2W on both sides: P - 2W = 2L
- Divide 2 on both sides: (P - 2W)/2 = L
- Distribute division: P/2 - W = L
- Rewrite: L = P/2 - W
C. Y=12
There’s no x variable
Answer:
Each cookbook cost $15.15.
Step-by-step explanation:
Since the statement indicates that four cookbooks and one novel cost $68.75, you can write the following equation:
4x+y=68.75, where:
x is the price of cookbooks
y is the price of novels
Also, given that the novel cost 7 dollars less than a cookbook, you can write the following equation:
x=y+7
Now, you can replace x=y+7 in the first equation:
4(y+7)+y=68.75
4y+28+y=68.75
5y=40.75
y=40.75/5
y=8.15
Now, you can replace the value of y in x=y+7:
x=8.15+7
x=15.15
According to this, the answer is that each cookbook cost $15.15.
Use the shell method. The volume is
<em>V</em> = 2<em>π</em> ∫₅⁸ (<em>x</em> - 5) <em>x</em> ² d<em>x</em>
<em>V</em> = 2<em>π</em> ∫₅⁸ (<em>x</em> ³ - 5<em>x</em> ²) d<em>x</em>
<em>V</em> = 2<em>π</em> (1/4 <em>x</em> ⁴ - 5/3 <em>x</em> ³) |₅⁸
<em>V</em> = <em>π</em>/6 (3<em>x</em> ⁴ - 20<em>x</em> ³) |₅⁸
<em>V</em> = <em>π</em>/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))
<em>V</em> = 891<em>π</em>/2
