Direct Variation. Since k<span> is constant (the same for every point), we can find </span>k<span> when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x , and y = 6 when x = 2 , the constant of variation is </span>k<span> = = 3 . Thus, the equation describing this direct variation is y = 3x .</span>
13°, 66°, and 101° ......
Answer:
p must be less than 100
Step-by-step explanation:
Let
c ----> the cost in dollars to clean the stream
p ----> percent of the stream
we have
Remember that the cost cannot be a negative number
and
the denominator cannot be a zero
so
Solve for p
Multiply by -1
Adds 100 both sides
therefore
p must be less than 100
Answer:
Step-by-step explanation:
y = x^2 - x - 2 is a quadratic function. It's easily factorable: y = (x + 1)(x - 2). Setting this result equal to zero yields the x-intercepts: -1 and 2. This matches the x-intercepts shown on the graph.
The axis of symmetry, x = -b/(2a), derived from the coefficients 1, -1 and -2 of this particular function, is x = 1/2. This x = 1/2 is also the x-coordinate of the vertex. To find the y-coordinate of the vertex, we evaluate y = x^2 - x - 2 at x = 1/2, obtaining:
y = (1/2)^2 - (1/2) - 2, or y = 1/4 - 1/2 - 2, or -2 1/4. This does not quite agree with the y value (-2) shown in the diagram, but is close.
