Answer: second one
Step-by-step explanation:
Desmos graphing calculator will draw this graph for you.
draw 2 curves
y = x^4 + x^3
and
y = 4x^2 + 4x
The roots are the points where the 2 curves intersect.
You can see by simple substitution that one root is zero.
x^4 + x^3 - 4x^2 - 4x = 0
f(2) = 16 + 8 - 4(4) - 4(2) = 0 so 2 is another root
f(-2) = 16 - 8 - 16 + 8 = 0 so -2 is another root
f(-1) = 1 - 1 - 4 + 4 = 0 so -1 is the other root
The answer is A
Answer:
(6,3)
Step-by-step explanation:
You can solve this by looking at the x and y coordinates independently.
The distance between -7 and -0.5 is 6.5.
The distance between -9 and -3 is 6.
Since point M is the midpoint, the distances between point A and point M should be the same, so you can literally just add the distances to the midpoint to find the other endpoint. This means that point B is located at (-0.5+6.5, -3+6) or (6, 3).
To check your work you can test the slope of the line and see that it is consistent from points A to B and from A to M.
=
and
=
which are both equal to ≈ .923077
Multiply 300 by 0.6 and 0.4; when multiplying by 0.6 you'll get the 60% that voted for Kevin; 300 x 0.6= 180, 180 students voted for Kevin