Because Z is directly proportional to X and inversely proportional to Y, therefore

where k = constant.
When X = 15 and Y = 9, Z = 5. Therefore
k(15/9) = 5
k = 5*(9/15) = 3
That is,

When X = 23, and Y = 14, obtain
Z = (3*23)/14 = 4.9286
Answer: Z = 4.929 (nearest thousandth)
Let's say "m" is the manufactoring cost per drill (in dollars).
Then the manufactorer sells it for $4 more, so this would be:
m+4
Then the chain store sells it for 140% of the price is paid the manufactorer, so this would be "140% of (m+4)" which translates to "1.4•(m+4)" or more simply:
1.4(m+4)
P(m) = 1.4(m+4), where m is the initial manufactoring cost (in dollars).
Simplifying, you could rewrite this as:
P(m) = 1.4m + 5.6
Answer:
Range: y ≥ 4
Step-by-step explanation:
Range is the y value
y = (x-2)^2 +4
The smallest the squared term can be is zero
y = 0 +4
The smallest y can be is 4
y ≥ 4
The rate of change:
( y2 - y1 ) / (x2 - x1) = ( 18 in - 12 in ) / ( 6 ft - 4 ft ) =
= 6 in / 2 ft = 3 in / 1 ft
Answer: D ) 3 inches up per foot across