Answer:
x=80
Step-by-step explanation:
Take the derivative of C(x) using the power rule
C'(x)=4x-320
Set this equal to 0 and solve for x
4x=320
x=80.
Sign analysis shows this to be a minimum because for values larger than 80 C'(x)>0 and for values less than 80 C'(x)<0
You need to find the distance between the 3 lengths of the lines from the given points
ef = sqrt ( 6-4) ^2 + 2-2^2) = sqrt 4 = 2
fg = sqrt (6 - 2)^2 + 4-4^2 = sqrt16 = 4
ge = sqrt (6-4)^2 + (2-6)^2) = sqrt 20 = 4.47
circumference = 2 + 4 + 4.47 = 10.47
Answer:
(-4, -8)
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>Algebra I</u>
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
x - 2y = 12
5x + 3y = -44
<u>Step 2: Rewrite Systems</u>
x - 2y = 12
- [Multiplication Property of Equality] Multiply everything by -5: -5x + 10y = -60
<u>Step 3: Redefine Systems</u>
-5x + 10y = -60
5x + 3y = -44
<u>Step 4: Solve for </u><em><u>y</u></em>
<em>Elimination</em>
- Combine 2 equations: 13y = -104
- [Division Property of Equality] Divide 13 on both sides: y = -8
<u>Step 5: Solve for </u><em><u>x</u></em>
- Define original equation: x - 2y = 12
- Substitute in <em>y</em>: x - 2(-8) = 12
- Multiply: x + 16 = 12
- [Subtraction Property of Equality] Subtract 16 on both sides: x = -4
Answer:
A. It takes the robot 3/20 hour to complete one task
B. The robot can complete 6 2/3 task in on hour
Step-by-step explanation:
