A mixed number is in the form x y/z while a improper fraction (76/10) is in the form y/z. We can separate the fraction into two parts. One is 70/10 which = 7 and the other is 6/10 which simplifies to 3/5. So, in order to express 76/10 as a mixed number we must express it as 7 3/5 or 7 6/10. 7 3/5 is equal to 7 6/10.
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Answer:
18
Step-by-step explanation:
10-4+6(4-2)
10-4+6(2)
10-4+12
6+12
=18
Answer:
0.98 $/cup
Step-by-step explanation:
The final answer asks for price/cup, as "per" means "divided by".
So, our final units will be in $/cup.
We are given that for every 2 gallons, it will cost $31.36.
In order to get from gallons to cups, we need to convert units.
In 1 gallon, there are 16 cups.
So, our conversion factor will be 16 cups/1 gallon.
$/cup
Important things to note:
- With these types of problems, it makes it much easier if you just figure out what units you need in the final answer, and then use conversions and dimensional analysis to get the answer
Answer:
a line labeled g of x that passes through points negative 1, negative 2 and 0, 2
Step-by-step explanation:
we have


To determine g(x), substitute the variable x by (x+1) in the function f(x)
so





therefore
a line labeled g of x that passes through points negative 1, negative 2 and 0, 2
Answer:
The average rate of change is -3.
Step-by-step explanation:
We are given the function:

And we want to find the average rate of change from <em>x </em>= 0 to <em>x </em>= 3.
In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.
For our first endpoint at <em>x</em> = 0, our function evaluates to:

So, our first point is (0, 9).
For our second endpoint at <em>x</em> = 3, our function evaluates to :

So, our second point is (3, 0).
Then by the slope formula, our average rate of change will be:
