Answer:
L = 48
Step-by-step explanation:
Given that L varies directly with Z² , then the equation relating them is
L = kZ² ← k is the constant of variation
To find k use the condition L = 12 when Z = 2 , then
12 = k × 2² = 4k ( divide both sides by 4 )
3 = k
L = 3Z² ← equation of variation
When Z = 4 , then
L = 3 × 4² = 3 × 16 = 48
Answer:
Y = 4/3x + 0
Step-by-step explanation:
(-3,-4) and (3,4) can be plugged in to rise over run.
y 4 -(-4) = 8
x 3 - (-3) = 6
8/6 = 4/3
Plug into slope intercept form
4 = 4/3(3) + b
4 = 12/3 +b
4 = 4 +b
Subtract from both sides
0 = b
Y = 4/3x + 0
Answer:
63 units
Step-by-step explanation:
The profit function P(x) is given by the revenue function minus the cost function:
The number of units sold 'x' for which the derivate of the profit function is zero, is the number of units that maximizes profit:
The number of units that should be manufactured so that profit is maximum is 63 units.
Answer:
These are the answers for question 3 only.
Step-by-step explanation:
3)
a. 3 <u>></u> -3
b. 12 <u><</u> 24
c. -12 <u>></u> -24
d. 5 <u>></u> -(-5) - (I'm not sure about this one)
e. 7.2 <u>></u> 7
f. -7.2 <u><</u> -7
g. -1.5 <u>=</u> -3/2
h. -4/5 <u>></u> -5/4
i. -3/5 <u>=</u> -6/10
j. -2/3 <u><</u> 1/3
Answer: The reason why is because the numbers you are multiplying are both less than 1 so it has to be less the factors
