Answer:
Step-by-step explanation:
First we need to change the mixed numbers into improper fractions.
9 x 10 = 90 + 1 = 91/10
4 x 4 = 16 + 3 = 19/4
Now we need to get them into simplest terms. There is a few ways to do this, but I know that 10 x 2 = 20 and 4 x 5 = 20 so I will use 20.
Now we can subtract:
And that leaves us with our answer :D
Answer:
1.5
Step-by-step explanation:
divide the bigger numbers by the smaller numbers, giving us 1.5 for each division
A gallon is 128 fluid ounces, so there were 640 ounces in Tom's full tank.
He filled a total volume of
.. 6*16 +(1/2)*128 = 96 +64 = 160 ounces
The tank has left
.. 640 -160 = 480 . . . . ounces of water
Answer: Look at the screenshot
Step-by-step explanation:
Ive added a screenshot of what this graph should look like
1. so it has to have every x is one y and every y has one x
graph them
we see that the only ones that are one to one are the first one, the 2nd one and the 4th one
2.
solve for x and replace with f⁻¹(x) and y with x
minus 8 and cube both sides
(y-8)³=x-2
add 2
(y-8)³+2=x
replace
f⁻¹(x)=(x-8)³+2
first one
3.
this is a one to one function because theer is no vertical line that could intersect the graph more than once
ah, I see, you're program has a different one to one definition, no horizontal or vertical line can cross, lemme edit te first question again
answer is 2nd option
4. a neat trick is this:
the domain of f(x) is the range of f⁻¹(x)
the range of f(x) is the domain of f⁻¹(x)
the domain of f(x)=1/(3x+2)
hmm, can't divide by 0 so set denomenator to 0
3x+2=0
3x=-2
x=-2/3
domain is all real numbers except -2/3
(-infinity,-2/3)U(-2/3,infinity)
that's the range of f⁻¹(x)
range
ok, hmm, range is from positive initny to 0 then from 0 to positive inifnty, not including 0
so the domain of f⁻¹(x) is (-∞,0)U(0,∞)
range of f⁻¹(x) is (-∞,-2/3)U(-2/3,∞)
first option
