Answer:
1) xₙ = n² - (n - 1)
2) 1/4
Step-by-step explanation:
1) 1 = 1² - (1-1)
3 = 2² - (2-1)
7 = 3² - (3-1)
13 = 4² - (4-1)
...........
xₙ = n² - (n - 1)
2) three consecutive terms of an exponential sequence: x, rx , r²x
x: 2nd term of linear sequence
rx: 6th term of linear sequence rx = x + 4d
r²x: 7th term of linear sequence r²x = rx + d d = r²x - rx
rx = x + 4 * (r²x - rx) = x + 4r²x - 4rx
4xr² -5rx + x = 0
x(4r² -5r + 1) = 0
x (4r - 1) ( r - 1) = 0
x = 0 or r = 1/4 or r = 1
if either x = 0 or r = 1 d will be equals to "0" everything became 0
So the only reasonable answer is r = 1/4
Answer:
$450
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(x)=(x+2)(x-7)=x²-5x-14
Answer:
Look at step-by-step explanation
Step-by-step explanation:
Side-side-angle is not a congruence rule because a side cannot be in between an angle and a side. Angle-side-side is the same thing, a side cannot be in between an angle and a side.
Answer:
Top right option: g(x) = (x+1)(x-3)
Step-by-step explanation:
x=-1 is the solution to x+1=0
x=3 is the solution to x-3=0
Therefore, your expression so far is (x+1)(x-3) or x²-2x-3.
Since the vertex must be (1,-4) we must check if x=1 satisfies the equation x=-b/2a:
x=-b/2a
1=-(-2)/2(1)
1=2/2
1=1
Both sides are equal to each other, so the final function is g(x) = (x+1)(x-3)
