N = 3 ( the next number is 3 plus the previous number
sequence formula = an = 3(n-1) +2
so for term the term that =59
59 = 3(n-1) +2
distribute:
59 = 3n -3+2
59 = 3n -1
60 = 3n
n = 60/3
n = 20
59 is the 20th term
Make a dot plot of the following set of numbers: 2, 1, 2, 0, 0 , 2, 1, 6, 1, 1, 0. Which number is the peak of the data set?
Phantasy [73]
A. 1
There are more 1’s than any other numbers.
Answer:
Assuming you mean on a number line.
How do we graph anything? Make a table of values for x and y and then plot each point. After plotting each point on the xy-plane, connect each point with a straight line or curve (depending on the function).
In this case, we must first isolate y.
y = (-4/3)x + 8y
y - 8y = (-4/3)x
-7y = (-4/3)x
y = (-4/3)x ÷ (-7)
y = (4/21)x
Now follow the steps above.
Answer:
(a) Domain: x > 4
(b) Range: y < -2
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
Range is the set of y-values that can be outputted by function f(x).
We see that our x-values span from 4 to infinity. Since it is an open dot, we cannot include it in our domain:
(-4, ∞)
We also see that our y-values span from -2 to negative infinity. Since it is an open dot, we cannot include it in our range:
(-∞, -2)
