Answer:
= 4n - 13
Step-by-step explanation:
There is a common difference d between consecutive terms , that is
d = - 5 - (- 9) = - 1 - (- 5) = 3 - 1 = 7 - 3 = 4
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 9 and d = 4, thus
= - 9 + 4(n - 1) = - 9 + 4n - 4 = 4n - 13
Hello,
answer D (-2,3)
Indeed
y=4x+11
y=-2x-1
==>4x+11=-2x-1
==>6x=-12
==>x=-2
And y=4*(-2)+11=3
1/2, because there are three even numbers and three odd numbers out of six, which would make the fraction 3/6, then simplify it to 1/2 (: hope it helped
The y asymptote in a function refers to the horizontal asymptote, or the horizontal line that function generally does not go through. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is the x axis, or y = 0. If the degrees in the numerator and denominator are the same, then the asymptote is y = 1. If the degree in the numerator is higher than the degree of the denominator the asymptote is oblique, or a straight line. I am going to attempt to attach a graph with an asymptote of y = 0 ( the degree of the numerator is less than the degree of the denominator) and one with an oblique so you can see the difference. There are also vertical asymptotes, but that's another concept.
set f(x) equal to y
y = 19/ x^3
swap x and y
x = 19/y^3
make y the subject
xy^3 = 19
y^3 = 19/x
![y = \sqrt[3]{ \frac{19}{x} }](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B19%7D%7Bx%7D%20%7D%20)
then just replace y with f^-1(x)
![f(x) = \sqrt[3]{ \frac{19}{x} }](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B19%7D%7Bx%7D%20%7D%20)
hope this helped! have a good day ~ •lipika•
