Step-by-step explanation:
here is your answer
hope it helps
Answer:
Step-by-step explanation:
Fiona will attend the restaurant for 5 days, so she will get to choose only 5 out of the 10 menus. At first, recall that the number of ways in which you can pick k elements out of n, without minding the order is .
Now, consider that for each group of k elements that you choose, you can order it in k! different ways. Suppose that you have k boxes, that you want to fill out with the k elements you pick. So, for the first box you have k options, for the second one you have k-1 options. Continuing in this fashion, you will have k! differnt ways of ordering the k elements.
So, in total, when order matters, you have ways of choosing.
For our case, we have n=10 and k=5, which gives us
y=x+14 line 1
y=3x+2 line 2
These are both the equation of lines written in slope intercept form
y=mx+b where m is the slope and the point (0,b) is the y intercept.
The first line has a slope of m=1. The 2nd line has a slope of m=3
Since these lines have different slopes, they are not parallel, thus they will cross at some point. What you have to determine is where the lines cross, which will be a point (x,y) that is on both lines.
We already have y solved in terms of x from either equation so we can use substitution to solve the system.
Since y=x+14 from line 1, put x+14 in place of y in the equation of line 2.
x+14=3x+2
solve for x.
Subtract x from both sides...
14= 3x-x+2
14=2x+2
subtract 2 from both sides
14-2=2x
12=2x
divide both sides by 2
6=x
We now have the x value of the common point. Plug the value 6 in for x in one of the original equations and solve for y.
y=6+14
y=20
These two lines cross at the point (6,20) which is a point the two lines have in common.
Hope I helped (SharkieOwO)
Answer:
2x+3(10+x)
Step-by-step explanation:
I'm not sure but I think this might be the answer
Exponential form: F(x)= 3/125^x+1
Original voltage: 3/125 of a volt