Answer:
J 1
--------
x^2 -x
Step-by-step explanation:
x+1
----------
x^3-x
Factor out an x in the denominator
x+1
----------
x(x^2-1)
We can factor the terms in the parentheses because it is a difference of squares
x+1
----------
x(x-1) (x+1)
Canceling the x+1 terms
1
----------
x(x-1)
Distribute in the denominator
1
--------
x^2 -x
Answer:5
Step-by-step explanation:
w(n)=4-1
=5
6.5 times 4 and 13 times 2
200/160=1.25
200+160=360/1.25/160=200.8
so your answer is 0.8
Answer:
20 units²
Step-by-step explanation:
The x-intercepts are symmetrically located around the x-coordinate of the vertex, so are at
1.5 ± 5/2 = {-1, 4}
Using one of these we can find the unknown parameter "a" in the parabola's equation (in vertex form) ...
0 = a(4 -1.5)² +12.5
0 = 6.25a +12.5 . . . . . simplify
0 = a +2 . . . . . . . . . . . divide by 6.25
-2 = a
Then the standard-form equation of the parabola is ...
y = -2(x -1.5)² +12.5 = -2(x² -3x +2.25) +12.5
y = -2x² +6x +8
This tells us the y-intercept is 8. Then the relevant triangle has a base of 5 units and a height of 8. Its area is given by the formula ...
A = (1/2)bh = (1/2)(5)(8) = 20 . . . . units²