Answer:
5x - y + 38 = 0
Step-by-step explanation:
solution:
slope(m) = 5
(x1 , y1) = (-8 , -2)
we know that,
(y - y1) = m(x -x1)
or, (y - -2) = 5(x - -8)
or, y+2 = 5(x + 8)
or, y+2 = 5x +40
or, 5x - y + 38 = 0 is the required equation
Answer:
f^-1(x) = (x/8)^(1/5) is a function
Step-by-step explanation:
The inverse of a function is the function reflected across the line y=x. This results in the coordinate points (x,y) of the function becoming (y,x) for the inverse function. Algebraically to find the inverse, switch the x and y locations and solve for y.
y = 8x^5
x = 8y^5
x/8 = y^5
(5)√(x/8) = y
This is a fifth root of (x/7) also written in exponents as y = (x/8)^(1/5).
This is a function. While it appears not to be a function because the middle portion over the origin appears vertical, it is a function because the middle portion over the origin is changing and graphing software shows it has no input with more than one output. Without graphing software you would rule it is not a function.
Answer:
The class interval is: 20-30
Step-by-step explanation:
Let l be the lower class limit and u be the upper class limit.
Then according to given statement that class mark is 25

And
Class size is 10
So, the second equation will be:

Adding equation 1 and 2

Now putting u =30 in equation 1

A class interval is written in the form that lower limit comes first and upper limit comes second.
So,
20-30
Hence,
The class interval is: 20-30
Answer:
0.525 = 52.5% probability that the two are from different families.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, the order in which the two participants are selected is not important, so we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Desired outcomes:
1 from the Harfield family(from a set of 7).
1 from the McCoy family(from a set of 9). So

Total outcomes:
2 from a set of 16. So

Probability:

0.525 = 52.5% probability that the two are from different families.