Hi there!
Using some simple conversions we can determine how many quarts are in 2 & a half gallons.
1 gallon = 4 quarts.
2 gallons = 8 quarts.
Since we're trying to determine how many quarts are in 2 & a half gallons we can separate our problem into how many quarts are in two gallons and how many are in a half a gallon.
2 gallons = 8 quarts.
.5 gallon = 2 quarts.
After adding this together we come up with the answer that there are 10 quarts in 2 & a half gallons. :)
Answer:
Step-by-step explanation:
we have
----> equation A
-----> equation B
----> equation C
adds equation A and equation C
-----> equation D
adds equation B and equation C
-----> equation E
we have the system
-----> equation D
-----> equation E
Multiply equation E by -1.5 both sides
-----> equation F
adds equation D and equation F
<em>Find the value of z</em>
substitute the value of y in equation E (or substitute in equation D)
<em>Find the value of x</em>
substitute the value of y and z in equation A (or equation B or C)
therefore
The solution of the system of equations is
10 (the price of the pizza) + 2x (the amount of money the cost goes up by)
The function would be
= 10 + 2x
So if you wanted 3 toppings let’s say, you would input 3 into the equation replacing the x.
10 + 2(3) [replacing the x with 3 because that’s the amount of toppings you want]
Then you time 2 by 3 which is 6 and add it to 10, to give you 16.
Remark
I do know why you are confused. It is hard to wrap one's head around something like this when you see it for the first time.
A
Because the graph is vertical, the x values are the same. x1 = x2
B
The segment can be represented as AB = |y2 - y1| You are not sure which is bigger. That is why you use the absolute value form.
C
AB = absolute(y1 - y2) The absolute value will make AB positive no matter which way it is written.
D
The answer to D is in parts B and C. You want AB to have a positive value no matter how y1 and y2 are chosen
E
No and the reason is found in D.
F
GH = abs(y2 - y1)
y2 = 2
y1 = - 32
GH = abs(2 - - 32) = (2 + 32) = 34
Or
GH = abs(-32 - 2) = abs(-34) = 34