Answer:
Step-by-step explanation:
5. A straight line (view that attached graph)
6. y = x² + (-3) is equivalent to y = x² - 3
0:
y = x² - 3
y = 0² - 3
y = 0 - 3
y = -3
(0, -3)
1:
y = x² - 3
y = 1² - 3
y = 1
y = -2
(1, -2)
2:
y = x² - 3
y = 2² - 3
y = 4 - 3
y = 1
(2, 1)
3:
y = x² - 3
y = 3² - 3
y = 9 - 3
y = 6
(3, 6)
So the answers are: -3, -2, 1, 6
Hope this helps!
Answer:
6
Step-by-step explanation:
First, multiply both sides by 3.
Next, combine like terms.
Solve for x.
Answer:
m = rise / run = 1/7
Step-by-step explanation:
Recall that the slope of a line is m = rise / run.
Here we look at x first (to calculate the run): x begins at -7 and ends at 0. Thus, the run is 0 - (-7), or 7.
Now look at how y behaves (find the rise): y begins at 0 and ends at 1. Thus, the rise is 1.
Therefore the slope of the line connecting the two poings given is
m = rise / run = 1/7
Let the nth term be given by the expression an²+bn+c.
We can write A: -7=a+b+c B: -6=4a+2b+c C: -3=9a+3b+c
D: B-A: 1=3a+b
E: C-B: 3=5a+b
E-Dm 2=2a, a=1, b=1-3=-2, c=-7-1+2=-6.
So the expression for the nth term is n²-2n-6.
Put n=4: 16-8-6=2 which fits the sequence.
Put n=5: 25-10-6=9 which also fits the sequence.
So the nth term is
If there are n rows
And if each row has m seats.
Then the total number of seats shall be n × m.
Here
Number of rows = (c+8)
And number of seats in each row = (4c-1)
Using the concept
Total number of seats
= (c+8)(4c-1)
FOILing or Distributing we get
= c(4c) + c (-1) + 8(4c) +8 (-1)
= 4c² - c + 32 c -8
Combining like terms
=4c² +31c - 8
The expression for total number of seats = 4c² + 31c -8
