Answer:
The proportion of apple juice
Step-by-step explanation:
Given that fruit cocktail, for every 25ml of orange juice
Given that 30ml of apple juice
Given that 45ml of coconut milk
we need to find the proportion of apple juice
The proportion of apple juice
The proportion of apple juice
Answer:
Quotient: 5x+11
Remainder: 59
Step-by-step explanation:
I'm going to do long division.
The bottom goes on the outside and the top goes in the inside.
Setup:
---------------------------------
2x-5 | 10x^2 -3x +4
Starting the problem from the setup:
5x +11 (I put 5x on top because 5x(2x)=10x^2)
--------------------------------- (We are going to distribute 5x to the divisor)
2x-5 | 10x^2 -3x +4
-(10x^2 -25x) (We are now going to subtract to see what's left.)
-----------------------------------
22x +4 (I know 2x goes into 22x, 11 times.)
( I have put +11 on top as a result.)
-(22x -55) (I distribute 11 to the divisor.)
-----------------------
59 (We are done since the divisor is higher degree.)
The quotient is 5x+11.
The remainder is 59.
The result of the division is equal to:
.
We can actually use synthetic division as well since the denominator is linear.
Let's solve 2x-5=0 to find what to put on the outside of the synthetic division setup:
2x-5=0
Add 5 on both:
2x=5
Divide both sides by 2:
x=5/2
Or realize that 2x-5 is the same as 2(x-(5/2)) which you will have to do anyways if you choose this route:
So 5/2 will go on the outside:
5/2 | 10 -3 4
| 25 55
------------------------------
10 22 59
So we have:
Distribute the 1/2 back: