Answer:A vertex (or node) of a graph is one of the objects that are connected together. The connections between the vertices are called edges or links. A graph with 10 vertices (or nodes) and 11 edges (links).
Step-by-step explanation: (The vertex formula is derived from the completing-the-square process, just as is the Quadratic Formula. In each case, memorization is probably simpler than completing the square.) For a given quadratic y = ax2 + bx + c, the vertex (h, k) is found by computing h = –b/2a, and then evaluating y at h to find k.
I’m pretty sure the answer is 30!
Answer:
9.1
Step-by-step explanation:
Typically when a question starts with which that means there are several options to choose from. Or multiple choice. Since you haven't provided that here, I'll tell you how I would estimate it.
50% of 14 is 7
10% of 14 is 1.4
5% of 14 is 1/2 of 10% of 14 which is 0.7
50% + 10% + 5% = 65%
Add them together: 7+1.4+0.7 = 9.1
The mean is the average of the numbers.
It is easy to calculate: add up all the numbers, then divide by how many numbers there are.
Let the number of sit-ups you have to do Sunday be x. Then the sum of all sit-ups is
100+65+120+150+90+0+x=525+x.
The number of days is 7.
Thus, the mean is
You know that the mean number of sit-ups per day is 100, equate these two means and solve the equation:
Answer: 175 sit-ups
Twice the difference between 5 times a number and 6 equals 18:
2(5x-6)=18
We need to solve for x:
5x - 6 = 2(difference) = 18
The difference must equal 9.
In order for the difference to equal 9, x must equal 3.
5(3) - 6 = 2(difference) = 18
Let's solve:
15 - 6 = 2(9) = 18
Therefore, in this equation, x = 3.
