Answer:
12
Step-by-step explanation:
This is a joint variation problem:
z varies directly as x and y
Interpreting this;
z ∝ xy
Therefore;
z = kxy
z = 6, x = 2, y = 6
Now find k,
6 = 2 x 6 x k
6 = 12k
k = 
To find the value of z;
x = 3, y = 8
z = x 3 x 8 = 12
Answer:
130/l in where l is the length of the rectangle
Step-by-step explanation:
The formula for area of a rectangle is length by width where the width is the height of the rectangle
Given that area=130 in²
Lets assume the length of this rectangle is =l inches
Then ;
A=l*w
130 =l*w
130/l = w
130/l in = height
Cost of fuel = 30% of $400 000 = 30/100 x 400000 = $120 000
Fuel amount = $120 000/$1.5 = 80 000 liters
new cost of fuel = 80000 x $1.6 = $144 000
increase in cost = 144000 - 120000 = $24000
So the increase in petrol price increases the operating cost by $24000
Answer:
k ≈ 1.88
Step-by-step explanation:
In order for the function to be continuous, the pieces of the function must have the same value at x=3. That is ...
f(3) = 3(3) +k = k(3^2) -6
15 = 8k . . . . . add 6-k, simplify
k = 15/8 = 1.875 ≈ 1.88
To two decimal places, the value of k that makes f(x) continuous at x=3 is 1.88.
