Answer:
x=4
Step-by-step explanation:
8x+5=10x-3
+3. +3
8x+8=10x
-8. -8
8=2x
/2. /2
x=4
Answer:
<h2>1/7</h2>
Step-by-step explanation:
If I choose a number from the integers 1 to 25, the total number of integers I can pick is the total outcome which is 25. n(U) = 25
Let the probability that the number chosen at random is a multiple of 6 be P(A) and the probability that the number chosen at random is is larger than 18 be P(B)
P(A) = P(multiple of 6)
P(B) = P(number larger than 18)
A = {6, 12, 18, 24}
B = {19, 20, 21, 22, 23, 24, 25}
The conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18 is expressed as P(A|B).
P(A|B) = P(A∩B)/P(B)
Since probability = expected outcome/total outcome
A∩B = {24}
n(A∩B) = 1
P(A∩B) = n(A∩B)/n(U)
P(A∩B) = 1/25
Given B = {19, 20, 21, 22, 23, 24, 25}.
n(B) = 7
p(B) = n(B)/n(U)
p(B) = 7/25
Since P(A|B) = P(A∩B)/P(B)
P(A|B) = (1/25)/(7/24)
P(A|B) = 1/25*25/7
P(A|B) = 1/7
<em></em>
<em>Hence the conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18 is 1/7</em>
-1(x)= 5x+15inverse of the function
Answer: D) No. The graph fails the vertical line test.
Explanation:
We are able to draw a single vertical line that passes through more than one point on the red curve. For example, we could draw a vertical line through x = 5 and have it cross the red curve at (5,4) and (5,-4).
So this is one example where the graph fails the vertical line test. It passes this test when such a thing doesn't happen. In other words, a function is only possible if any x input leads to exactly one and only one y output.
In this case, x = 5 leads to multiple outputs y = 4 and y = -4 at the same time. There are other x values which this occurs as well (any x values such that x > 1). So this is why we don't have a function.
Answer:
1. Number 1 and 2 and 4 is a function, 2. number 1 is a function
Step-by-step explanation:
1)To know if it's a function or not run vertical lines through multiple places of the graph. If it is a function every single time you do the vertical line test it should only go over the line once. If you do the vertical line test on 3 you will see that it went over the line on the graph, so we know not a function. Graphs 1, 2, and 4m however, are different, when you do the vertical line test on those graphs it only goes over them once.
2) Choice (1) is a function because when drawing vertical lines through the graph it only goes over one.
Choice (2) is not a function because when drawing vertical lines through the graph it covers two points on the graph.
Choice (3) is not a function because when drawing vertical lines through the graph it goes over multiple points.
Choice (4) is not a function because when a vertical line is drawn, it goes over more than one point on the graph.
The vertical test is a way to determine if it is a function.
When looking at a table functions are one-to-one and many-to-one
Non-functions are one-to-many and many-to-many
Hoped this helped you : )
