Answer:
f(x)=4x-11
Step-by-step explanation:
This is a linear sequence, so we have to find our common difference, or slope, by finding the difference between any term and its previous term. We should do this a couple of times to make sure it's consistent. In this case, our slope is 4 and our first term is -7. We can do our equation in slope intercept (y=mx+b) form. However, to do this, we have to find the '0'th' term, or the term where x=0, a.k.a. the y-intercept. Our 1st term where x-1 is -7, and since our common difference is 4, we subtract 4 from negative 7 to get a y-intercept of -11. Our equation is now y=4x-11. To make this an explicit formula, we convert into f(x) form to get a formula of f(x)=4x-11.
I’m just going off of what I was told in fifth grade, and we were told it was finger nails. Hope this helps!
Answer:
Remember that the Cartesian product over n sets X1, ..., Xn is the set

a) First we calculate
,

Now, we calculate
,

b) We calculate 

Answer:
You need a graph, but x = 3/2 and y = -9/2
Step-by-step explanation:
You need a graph to plot points. Here is a graph:
https://www.wolframalpha.com/input/?i=Plot+the+point+(3%2F2,-9%2F2)
Anyways, 3/2 = 1.5 and -9/2 = -4.5, so that is why it shows those points on the graph.
1.5 is on the x-axis while -4.5 is on the y axis.
Mult. 536 by 410. Hold the 0 for now and mult your final answer by 10.
Mult 536 by 41: The first partial product is (536)(1) = 536.
The second is (536)(4) = 2144.
Align these partial products as follows:
536
2144
----------
219760 (we held that final 0, remember?)