Answer: 44
Step-by-step explanation:
Let your age be x.
Then your mother's age will be 2x + 12.
After 8 years,
Your age will be x + 8.
Your mother's age will be 3(x + 8) - 20 = 3x + 24 - 20 = 3x + 4.
This is equal to 2x + 12 + 8 = 2x + 20
2x + 20 = 3x + 4
3x - 2x = 20 - 4
= x = 16
Answer: all of them except III
Step-by-step explanation:
Recall that a rational function:
has a vertical asymptote at x₀ if and only if:
Also, the roots of the above rational function are the same as P(x).
Since the rational function has a vertical asymptote at x=-1, we get that its denominator must be:
Since the rational function has a double zero at x=2 we get that its numerator must be of the form:
Finally, since the rational function has y-intercept at (0,2) we get that:
Simplifying the above equation we get:
Dividing the above equation by 4 we get:
Therefore, the rational function that satisfies the given conditions is:
Answer:
The numerator is:
The denominator is:
Draw a cartesian plane, create a graph with the equation x = y^2 - 2
then substitute numbers into the equation so that it is true, to find points on the graph, e.g. substitute y with 1, you get
x = 1^2 - 2
x = 1 - 2 = -1, so when y = 1, x = -1, this point is (-1, 1)
for the next substitute y with 2,
x = 2^2 - 2
x = 4 - 2 = 2, the point is (2, 2)
you might want to try negative values of y
y = -1, x = (-1)^2 - 2
x = -1 the point is (-1,-1)
then plot the points on the graph
Answer:
A
Step-by-step explanation:
You wont find vegatarians at a hamburger restaurant but you wilk find non vegetarians at a icecream parlor
