Answer:
<em>Pool 1 leaks faster than pool 2.</em>
Step-by-step explanation:
<u>Rates of change</u>
The rate of change (ROC) is a measure that compares two quantities, usually to know how fast one variable changes in time.
We are given two rates of change for two pools that are leaking. The first one loses 2/3 gallon in 15 minutes, and the other loses 3/4 gallon in 20 minutes.
To compare them, we are required to express time in hours. Recall one hour has 60 minutes, or equivalently, one minute has 1/60 hours. Converting both times, we have:
15 minutes = 15/60 = 1/4 hours
20 minutes = 20/60 = 1/3 hours
Now compute both rates of change:
Pool 1:
Pool 2:
Comparing both ratios, it's clear pool 1 leaks faster than pool 2.
Answer:
(x+6)
Step-by-step explanation:
because you have ( x+6) on bottom of the first equation and on the top on the second equation
Answer:V(x) = 6x³ + 4x² - 12x - 8
Step-by-step explanation:
The shoe box can either be cube shaped or cubiod shaped. The volume of the box is length × breadth × height
Since Area = Length × Breadth
Volume = Area × Height
V(x) = A(x) × H(x)
A(x) = 2x² - 4
H(x) = 3x + 2
V(x) = (2x² - 4)(3x + 2)
V(x) = 6x³ + 4x² - 12x - 8
<h3>
Answer:</h3>
1 27/28 ≈ 1.964 gallons/hour
<h3>
Step-by-step explanation:</h3>
You want gallons in the numerator of your unit rate, but that unit is in the denominator of the mileage rate. So, the computation must involve division by 28 mpg. Hours is already in the denominator of 55 mph, so the computation will involve multiplication by that rate.
... (55 mi/h)/(28 mi/gal) = (55 mi/h)·(1 gal/(28 mi)) = 55/28 gal/h
... = 1 27/28 gal/h
