Answer:
D. There are points on the graph with the same 
-coordinate but different 
-coordinate.
Step-by-step explanation:
A relation is a function if and only if each element of the range, corresponding with y-axis, is associated with only one element of the domain, corresponding with x-axis. In this case, the graphed relation is not a function, since for all element of the domain, except 0, are related to two distinct elements of the range.
Hence, correct answer is D.
Answer:
2100
Step-by-step explanation:
In how many ways can a group of 10 people be divided into three groups consisting of 2,3, and 5 people?
First, you need to choose 4 people to fill the first group.
The number of ways is (104) which equals to 210.
Then, pick 3 more people out of the remaining 6 to be in the second group. And then, pick 3 more out of the remaining 3.
However, we need to divide it by 2, since we don’t really care on the order of selection of group.
(63)(33)/2=10
So, there are 210 x 10 = 2100 ways
It might seem silly, but it's important to say that something is equal to itself. This applies to numbers like saying 2 = 2 and it also applies to geometric lengths as well. In line 5, we say that segment DB is the same length as segment DB. In short, DB is congruent to itself. This property is known as the reflexive property of congruence. You can think of a mirror giving off a reflection which has a similar word structure to reflexive.
You are correct if you were going to select choice B as the answer.
Answer:
(5, - 8 ) and (- 1, 4 )
Step-by-step explanation:
Given the 2 equations
y = - x² + 2x + 7 → (1)
y = - 2x + 2 → (2)
Substitute y = - 2x + 2 into (1)
- 2x + 2 = - x² + 2x + 7 ← subtract - x² + 2x + 7 from both sides
x² - 4x - 5 = 0 ← in standard form
(x - 5)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = 5 → y = - 2(5) + 2 = - 10 + 2 = - 8 ⇒ (5, - 8)
x = - 1 → y = - 2(- 1) + 2 = 2 + 2 = 4 ⇒ (- 1, 4)
