To figure out if a graph is a function, you can use this thing called the vertical line test. in case you're unfamiliar, it's basically where you just imagine a vertical line going from left to right on the graph. if it crosses the function in two places, it's incorrect. i suggest looking up a video that shows you a visual representation of the vertical line test if you've never heard of it; it's fairly simple.
A is a function because the graph passes the vertical line test. if you imagine a vertical line and drag it from left to right across the graph, the linear function graphed in choice A does not have two x values at the same spot.
B is not a function. it fails the vertical line test almost immediately: the sideways "U" shapes makes it intersect the vertical line twice in one place.
C is a function. it passes the vertical line test, even though it looks a little strange. at no point does it intersect the vertical line twice.
D is a function. again, it doesn't intersect the vertical line twice.
now, to determine if a function is a one-to-one function, it must also pass the horizontal line test. this means that it doesn't intersect at two points horizontally as well. test that out on choices A, C, and D.
A is a one-to-one function because it doesn't cross in the same place horizontally, either. C and D are one-to-one functions as well.
Step-by-step explanation:
Hours worked = X
Money earned per hour = $8.75
Your answer would be A.
E.g.) Say that there is another part to this question.
You work for 3 hours, how much money would you earn after three hours? Use your equation "8.75x"
We know that "x" is equal to the hours worked, so plug in 3 for x.
8.75x = 8.75 *x
8.75 * 3= 26.25
So, if you worked 3 hours, your total pay would be $26.25 (Note: this is not part of your answer, just an example to show you how equations work)
Hope this helps :)
Answer:
As a fraction, A is 3/8 concentrate in final product and B is 4/11.
A is, in other words, 33/88, and B is 36/88 concentrate in the final mixture.
So Mixture B is stronger, slightly.
Note that in order to make the fractions the same denominator, we had to 'expand' each fraction with the denominator of the other fraction. After that, the numbers are really easy to compare.
Answer:
2nd quadrant.
Step-by-step explanation:
The given function is
We need to find the quadrant from which the graph of function is not passing.
At x=0,
So, y-intercept is (0,-6).
At h(x)=0,
So, x-intercept is (9,0).
It means the graph intersect negative side of y-axis and positive side of x-axis. When we join these two points, we get the graph is not passing through the 2nd quadrant.
Therefore, the required quadrant is 2nd quadrant.
Answer:
50x^4 +25x^3 +103x^2 +25x +49
