Answer:
No, StartFraction 0.5 Over 1 EndFraction not-equals StartFraction 1 Over 1.5 EndFraction not-equals StartFraction 1.5 Over 2 EndFraction.
ANSWER 1
Step-by-step explanation:
took the test..
Answer:
87th term is 497
Step-by-step explanation:
first, you have to find the nth term:
figure out the difference between your set of numbers (in our case +6)
that means that is 6n. next, the nth term is basically the 0th term so you have to find the 0th term. all you have to do is do the inverse of 6n (-6n or -6), which gives us -25.
nth term= 6n-25
now replace n with 87.
final step:
87*6 (6n and n=87) and that gives you 522. then, you have to do 522-25, due to the equation. 522-25=497
497 is your 87th term.
The points of intersection are at (3, 6) and (-1, -2).
Since both of these equations have y isolated, we can set them equal to each other:
2x=x²-3
We want all of the variables on one side, so subtract 2x:
2x-2x = x²-3-2x
0=x²-3-2x
Write the quadratic in standard form:
0=x²-2x-3
This is easily factorable, as there are factors of -3 that will sum to -2. -3(1)=-3 and -3+1=-2:
0=(x-3)(x+1)
Using the zero product property we know that either x-3=0 or x+1=0; therefore x=3 or x=-1.
Substituting this into the first equation (it is simpler):
y=2(3) = 6
y=2(-1)=-2
Therefore the coordinates are (3, 6) and (-1, -2).
Formula of the parabola: (x - h)²<span> = 4p(y - k)
(h,k) is a vertex, </span>(1,-9) is a vertex.
<span>h=1, k= - 9
Substitute h and k into formula </span>(x - h)² = 4p(y - k)
(x - 1)² = 4p(y + 9)
Substitute x and y of the y-intercept
(x - 1)² = 4p(y + 9), x=0,y=-6.
(0 - 1)² = 4p(-6 + 9)
1 = 4p*3
1/3 = 4p, substitute value of 4p into (x - 1)² = 4p(y + 9).
(x - 1)² = 1/3(y + 9)
x²-2x+1=(1/3)y + 3
(1/3)y = x²-2x-2
y = 3x² - 6x -6
x-intercepts, is values of x when y=0.
3x² - 6x -6 = 0
x²-2x-2=0
We will find values of x using formula.