Answer: 4.5924 (4.6)
Step-by-step explanation:
Yes, I agree with the researcher's method. All the values of
in the table correspond to the values of n by using their formula.
Step-by-step explanation:
Step 1:
If we substitute the values of n in the researcher's equation and we get the right values of
, we can agree with the researcher's method.
The researcher's formula is
Here
is the wombat population and n is the number of years.
Step 2:
When n = 1, 
when n = 2, 
when n = 3, 
when n = 4, 
when n = 5, 
As all the values correspond to the values on the table, I agree with the researcher's method.
The standard form of a parabola is y=ax²+bx+c
use the three given points to find the three unknown constants a, b, and c:
-2=a+b+c............1
-2=4a+2b+c......... 2
-4=9a+3b+c...........3
equation 2 minus equation 1: 3a+b=0..........4
equation 3 minus equation 2: 5a+b=-2.........5
equation 5 minus equation 4: 2a=-2, so a=-1
plug a=-1 in equation 4: -3+b=0, so b=3
Plug a=-1, b=3 in equation 1: -2=-1+3+c, so c=-4
the parabola is y=-x²+3x-4
double check: when x=1, y=-1+3-4=-2
when x=2, y=-4+6-4=-2
when x=3, y=-9+9-4=-4
Yes.
Answer:
A) The solution set is (6,-8).
Step-by-step explanation:
3x - y = 26
-3x - 3x Subtract 3x from both sides
-y = -3x + 26 Divide both sides by -1
y = 3x - 26
Now plug this into 7x + 8y = -22 to solve for x
7x + 8(3x - 26) = -22 Distribute
7x + 24x - 208 = -22 Combine like terms
31x - 208 = -22
+ 208 + 208 Add 208 to both sides
31x = 186 Divide both sides by 31
x = 6
Plug this into y = 3x - 26 to solve for y
y = 3(6) - 26 Multiply
y = 18 - 26 Subtract
y = -8
If this answer is correct, please make me Brainliest!
Answer:
First
Step-by-step explanation:
The first person in the line will always have an odd position, not an even one. They will be the only one left.