Answer:
14/3
Step-by-step explanation:
2*7=14
put 14 over 3
Substitute
4x+2=x-4
Then solve
3x=-6
x=-2
Substitute answer into an equation to find y
y=-2-4
y=-6
So you solution is:
(-2,-6)
Answer
Find out the how many kilograms of blend A will don need to use to make 10 kg of his signature blend .
To proof
As given
Dons signature coffee blend is 60% dark roast and 40% light roast.
He has 10 kg
60 % is written in the decimal form

= 0.6
40 % is written in the decimal form

= 0.4
Now 60% dark roast of 10 kg = 0.6 ×10
= 6 kg
Now 40% of 10 kg = 0.4 × 10
= 4 kg
As given
He has 10 kg of blend A, which is 80% dark roast and 20% light roast i.e 80% of the 6kg is dark roast and 20% of the 4kg is light roast .
80% is written in the decimal form

= 0.8
80% of the 6kg is dark roast = 0.8 × 6
= 4.8 kg
20% is written in the decimal form

= 0.2
20% of the 4kg is light roast = 0.2 × 4
= .8kg
Total kilograms of blend A will don need to use to make 10 kg of his signature blend = 4.8 kg + .8 kg
= 5.6 kg
Hence proved
We split [2, 4] into
subintervals of length
,
![[2,4]=\left[2,2+\dfrac2n\right]\cup\left[2+\dfrac2n,2+\dfrac4n\right]\cup\left[2+\dfrac4n,2+\dfrac6n\right]\cup\cdots\cup\left[2+\dfrac{2(n-1)}n,4\right]](https://tex.z-dn.net/?f=%5B2%2C4%5D%3D%5Cleft%5B2%2C2%2B%5Cdfrac2n%5Cright%5D%5Ccup%5Cleft%5B2%2B%5Cdfrac2n%2C2%2B%5Cdfrac4n%5Cright%5D%5Ccup%5Cleft%5B2%2B%5Cdfrac4n%2C2%2B%5Cdfrac6n%5Cright%5D%5Ccup%5Ccdots%5Ccup%5Cleft%5B2%2B%5Cdfrac%7B2%28n-1%29%7Dn%2C4%5Cright%5D)
so that the right endpoints are given by the sequence

for
. Then the Riemann sum approximating

is

The integral is given exactly as
, for which we get

To check: we have
