The statement regarding the expansion of (x + y)" that is correct is D. The coefficients of yn - 1 and yn – 1 both equal 1.
<h3>How to expand?</h3>
It should be noted that for any positive integer, n, the expression of (x + y)^n will be C(n,0)x^n + C+n, 1)x^n-1 .... C(n, n)y^n.
Here, the statement regarding the expansion of (x + y)" that is correct is that the coefficients of yn - 1 and yn – 1 is both equal to 1.
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Answer:
-5n + 8
Step-by-step explanation:
<u>1. What is the difference?</u>
The sequence goes down by 5. This means that the formula will have -5n in it.
<u>2. Work out the term before the first term.</u>
The first term is 3, and we know that the sequence goes up by 5. So, to get the term before 3 we would add 5.
3 + 5 = 8 Remember, this is positive 8. (+8)
<u>3. Put that term at the end of the equation. </u>
We have -5n already and we just worked out the term before the first one which is positive 8 - so put that at the end of the equation.
-5n + 8 This is our answer!
Just to prove it works:
<em>Substitute: n = term</em>
Lets see if we can get the 3rd term which is -7. (n = 3)
-5(3) + 8
-15 + 8 = -7
See, it works!
Carlos should have 1 tomato
if you solve the 2nd equation for c and plug it in you get 1
1/2 & 3/10 .. in simplest form
Answer: y = 1200m + 57,600
Step-by-step explanation: To be a line, let's say that x is the numbers of years on the job and y the salary.
So, we have (2,60000) and (7,66000)
y = mx + b
66000 = 7m + b
60000 = 2m + b (-)
________________________
6000 = 5m
m = 6000/5 = 1200
60000 = 2m + b
60000 = 2.1200 + b
60000 = 2400 + b
b = 60000 - 2400
b = 57600
y = mx + b
y = 1200m + 57,600
