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.
The hypotenuse is always the longest side, and it is always opposite the right angle.
"Leg" is not a mathematical term. If it is being used to refer to one of the sides forming a right angle, the hypotenuse is not a "leg".
Answer:
1/8
Step-by-step explanation:
If you look at the 48 min., then you can see that 60 min and 48 have a GCF of 12. 48/12 is 4, so 1/10 should be divided by 4 too. that is 1/40. 12 * 5 is 60, so 1/10 should be multiplied by 5 too. That makes 1/8.
Answer:
There were approximately 53 cases of measles before the increase.
Step-by-step explanation:
Since there was an increase of 10.2% this means that the value we have now is the value we had prior plus the increase, in other words this is 100% of the cases before the increase plus 10.2%, so we have now 110.2% of cases. We know that this value represents 58 cases, so we can use a rule of three in order to determine the prior value. This is seen bellow:
100% -> x
110.2% -> 58
110.2*x = 100*58
x = 5800/110.2 = 52.63
Which is approximately 53 cases.
Answer:
b.
Step-by-step explanation:
We have to find the equation which are true identity.
a.
b.
Using identity
It is true.
Hence, option b is true.
