Answer:
The graph of the function rule will be a line segment connecting (0,2) and (40,22) as shown in the graph below.
Step-by-step explanation:
The graph of the function rule will be a line segment connecting (0,2) and (40,22) as shown in the graph below.
There would be 12 people at the party!
In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.
Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.
This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.
Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.
Hope this helps!
Answer:
lcm for cuberoot
2*2*2*5*5*5*3*3*3
for cuberoot we will make pairs of common three numbers and write them one time
2*5*3
30
check 30*30*30=27000
cube
multiply 27000 three times with itself
19683000000000.0 is the answer
South west
Shifting 4 units left (decreasing in x-axis by 4 units)
Shifting 5 units down (decreasing in y-axis by 5 units)
Apply to every vertices coordinates(x - 4, y - 5)
New coordinates
A(-2, -1)
B(-1, -4)
C(1,0)
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra i</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Equality Property] Square root both sides:
