Answer:
f(1) = 1
Step-by-step explanation:
A function can have only one value of y for a given value of x.
Thus, if f(1) = 5, we cannot have f(1) = 1.
We can have f(2) =1 and f(5) = 5, because these are values of y for different values of x,
The first diagram below is the graph of a function, because there is only value of y that corresponds to a given value of x.
The second diagram is not the graph of a function, because there are two values of y that correspond to a given value of x.
However, the top semicircle and the bottom semicircle separately are graphs of functions, because they each have only value of y that corresponds to a given value of x.
Answer:
10 full servings and
cups leftover
Step-by-step explanation:
Our container has a total of 20 and a half cups. And each full serving is 2 cups.
So, we divide
.
To do this manually, we convert the numerator into an improper fraction:
.
Now, we multiply the denominators:
.
This will give us
servings. So we only have 10 full servings.
There are
cups leftover.
Given:
The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0).
To find:
The type of the given triangle.
Solution:
Distance formula:

Using the distance formula, we get





Similarly,





And,





Two sides of the triangle are equal, i.e.,
. So, the triangle is an isosceles triangle.
Sum of square of two smaller side is




Using the Pythagoras theorem, we can say that the given triangle is a right triangle.
Therefore, the correct options are B and F.
1/2*5 = 2.5 ~ 3 (round-off)
1/3* 10 = 3.33 ~ 3