Answer: x = 1 and y = 2
Step-by-step explanation:
Solve for y in the first equation by adding 2x to both sides

Then plug this in for the y value in the second equation

Combine like terms and simplify

Plug x into either equation to find the y value

Lets write this as a ratio 1st.
For every 5 coins Carmen gives Frankie 2
5:2
9:?
5 - 2 = 3
So 3:2
9 ÷ 3 = 3
3 × 2 = 6
So, Caamen has 9 coins and Frankie has 6 coins.
Hope I helped ya!!!!!!
Answer:
k=17
Step-by-step explanation:
k+10=27
k=27-10
k=17
Answer:
5.09 units
Step-by-step explanation:
Given equation
in the interval 
So we integrate
in the given interaval

Let us integrate
first.
let



Using integration by parts we get




So here
![\int f(x)=2\int\limits^4_1 {\ln x}dx\\ =2(x\ln x-x)_1^4\\ =2[(4\ln 4-4)-(1\ln 1-1)]\\ =2[4\ln 4-4+1]\\ =5.09\ units](https://tex.z-dn.net/?f=%5Cint%20f%28x%29%3D2%5Cint%5Climits%5E4_1%20%7B%5Cln%20x%7Ddx%5C%5C%20%3D2%28x%5Cln%20x-x%29_1%5E4%5C%5C%20%3D2%5B%284%5Cln%204-4%29-%281%5Cln%201-1%29%5D%5C%5C%20%3D2%5B4%5Cln%204-4%2B1%5D%5C%5C%20%3D5.09%5C%20units)
The area of the the region between the curve and horizontal axis is 5.09 units.
I think the answer would be d.
Hope it's right.