Answer:
c) parabola and circle: 0, 1, 2, 3, 4 times
d) parabola and hyperbola: 1, 2, 3 times
Step-by-step explanation:
c. A parabola can miss a circle, be tangent to it in 1 or 2 places, intersect it 2 places and be tangent at a 3rd, or intersect in 4 places.
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d. A parabola must intersect a hyperbola in at least one place, but cannot intersect in more than 3 places. If the parabola is tangent to the hyperbola, the number of intersections will be 2.
If the parabola or the hyperbola are "off-axis", then the number of intersections may be 0 or 4 as well. Those cases seem to be excluded in this problem statement.
S^2 + 9s - 142 > 2000
s^2 + 9s - 142 - 2000 > 0
s^2 + 9s - 2142 > 0
(s-42)(s+51) > 0
s - 42 > 0
s > 42
s + 51 > 0
s > -51.......will not work
answer is : s > 42
Answer:
-4
Step-by-step explanation:
The line has a "rise" between the two points of -4 units for a "run" of +1 unit. The slope is the ratio ...
m = rise/run = -4/1 = -4.
The slope is -4.
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<em>Additional comment</em>
A "whole number" must be non-negative. Here, the slope is negative. If you're restricted to "a fraction or a whole number", then the appropriate answer is the fraction -4/1. We suspect that "integer" is meant where "whole number" is used.