9514 1404 393
Answer:
Step-by-step explanation:
The thrust of the question is to make sure you understand that increasing the y-coordinate of a point will move the point upward, and decreasing it will move the point downward.
That is adding a positive value "k" to x^2 will move the point (x, x^2) to the point (x, x^2+k), which will be above the previous point by k units.
If k is subtracted, instead of added, then the point will be moved downward.
The blanks are supposed to be filled with <u> positive </u>, and <u> negative </u>.
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<em>Comment on the question</em>
The wording of the statement you're completing is a bit odd. If k is negative (-2, for example), this statement is saying the graph is translated down -2 units. It is not. It is translated down |-2| = 2 units. The direction of translation depends on the sign of k. The amount of translation depends on the magnitude of k.
If you thoroughly understand (x, y) coordinates and how they are plotted on a graph, it should be no mystery that changing the y-coordinate will change the vertical position of the graph.
Answer:
Step-by-step explanation:
(7/12) of 840 attended the concert:
(7/12)*(840) = 490 students attended the Spring Concert.
(840 - 490) = 350 did not attend
(350/840) is the fraction of students who did not attend. This can be reduced to (35/84)
(350/840) = 0.4167 or 41.67% did not attend.
Answer:
1/5x=3/4 hour
so since 5 times 1/5=1 then
find x
multiply both sides by 5
x=15/4 hour=3 and 3/4 hour=3 hour and 45 mins
Step-by-step explanation:
Hope this helps :)
Brainlest?
Slope= 5
X-intercept= -5/5 = -1
Y-intercept= 5/1 = 5.0000000
Answer:
Step-by-step explanation:
The area is given in two ways: 1) as a formula: A = 30w - w^2, and 2) as a specific numerical value: A = 200 m^2.
Equating these, we get:
A = 200 m^2 = A = 30w - w^2
Rewriting this equation in the standard form of a quadratic function:
-30w + w^2 + 200 m^2 = 0
or w^2 - 30w + 200 = 0, which in factored form is (w - 10)(w - 20) = 0.
Then w = 10 and w = 20.
The perimeter of the rectangle is P = 60 m, and this equals 2w + 2l. Therefore, 30 m = w + l, or l = 30 - w.
We have already found that w could be either 10 or 20.
If w = 10, then l = 30 - 10 = 20, and the perimeter would thus be:
P = 2(10) + 2(20) = 20 + 40 = 60.
This satisfies the constraints on w.
The width of the rectangle is 10 meters. The length is 20 meters.
