A restaurant offers a lunch special where you can choose any 3 of a total of 9 dishes. How many different combinations are possi
1 answer:
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The graph of is a horizontal line. So the area under
on [0, 8] is equal to the area of a rectangle with length 8 and height 2, or 16.
The graph of is the upper half of a circle with radius
. It's symmetric about
, so on the interval [0, 8], we're considering a quarter of the circle. The area of such a sector is
.
Then use the fact that the definite integral is distributive over sums, meaning
Answer:
x-intercept: (9,0)
y-intercept: (0,-9)
Step-by-step explanation:
The x-intercept and y-intercept is the point at which a line intersects the x-axis and y-axis, respectively. All points on the x-axis have a y-value of 0, while all points on the y-axis have an x-value of 0. Thus, to find the x and y intercepts, substitute 0 for one of the variables in the equation, then solve for the other.
1) To find the x-intercept, substitute 0 for y. Then, isolate x.
So, the x-intercept must be (9,0).
2) To find the y-intercept, substitute 0 for x. Then, isolate y.
So, the y-intercept must be (0,-9).