Answer:
D
Step-by-step explanation:
A negative discriminant indicates that the quadratic equation has no real roots.
Thus the graph does not touch or intersect the x- axis
The only graph that does not touch or intersect the x- axis is the fourth one
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Answer:
y = 1/4x + 5
Step-by-step explanation:
The given line has a "rise" of -8 for a "run" of 2, so a slope of ...
m = rise/run = -8/2 = -4
The perpendicular line will have a slope that is the opposite of the reciprocal of this slope. Its slope will be ...
-1/m = -1/(-4) = 1/4
The equation you're looking for will have an x-coefficient of 1/4. The suitable choice is ...
y = 1/4x + 5 . . . . the third choice
Answer:
the third one
Step-by-step explanation:
the absolute value of -6 is 6
Recognize that you must combine "like" terms. 5x^2y and x^2y are "like" terms.
Adding them together, you get 6x^2y.
Now add 2xy^2 to 6x^2y. These are NOT "like" terms, so you end up with
6x^2y+2xy^2 as your final answer. This answer is acceptable as is.
However, you could factor out the common factors: 2xy(3x+y).
