What do you mean this sentence?
the time a pump takes to drain the pool varies inversely with the power in watts of the pump,
The meaning would be : if we have a power in watts greater the time to drag the pool will be less because the relation between power and time is inverse.
40 watts--------------5 hours)
100 watts------------ x
because the relation between power and time is inverse, we multiply directly.
40 watts(5 hours)=100 watts x
x=(200 watts hours) / 100 watts=2 hours.
Answer: the time would be 2 hours. (the new pump is faster)
Answer:
The common factor is 8x or -8x ( I forgot if the first number needs to positive or not.
Step-by-step explanation:
-8x(7x^3-2x-2)
or
8x(-7x^3+2x+2)
Hope this is what you are looking for?
Answer:
Five out of fifteen or one out of three
Step-by-step explanation:
Add up all of the fruit in the basket - 15
Number of kiwi - 5
If you simplify 5/15 you get:
1/3
A) f(x) is decreasing because the base is less than 1.
0.56 is close to 0.5, so its like saying that you are taking half each time, therefore the value is getting smaller.
g(x) is increasing because the base is greater than 1.
you are multiplying by 4 each time, making the value bigger.
B ) The y-intercept is where x=0.
Anything to the '0' power is 1. Therefore the y-intercept is equal to the coefficient in front of each function.
f(x) = 3 , g(x) = 6
C) Just plug in x=4 to each function in a calculator.
f(4) = 0.295
g(4) = 1536