-- The graph looks like a line that passes through the origin,
and slopes up to the right at a 45-degree angle.
-- Point #1 on the line:
. . . . . Pick any number.
. . . . . Write it down twice.
. . . . . Call the first one 'x'. Call the second one 'y'.
-- Point #2 on the line:
. . . . . Pick any other number.
. . . . . Write it down twice.
. . . . . Call the first one 'x'. Call the second one 'y'.
-- Point #3 on the line:
. . . . . Pick any other number.
. . . . . Write it down twice.
. . . . . Call the first one 'x'. Call the second one 'y'.
Rinse and repeat, as many times as you like,
until the novelty wears off and you lose interest.
Let the be the time in hours, and meters of fencing completed.
We know that After three hours, they have 15 meters of fencing complete, our graph will go from the point (0,0) to the point (3,15). We also know that they decide to take a 2-hour break for lunch and then resume building the fence, so our graph will go from the point (3,15) to the the point (5,15). Finally, After four more hours, they have a fence that is a total of 55 meters long, so the final part of our graph will go from the point (5,15) to the point (9,55)
We can conclude that the graph of t vs y is:
Answer:
-4
Step-by-step explanation:
The average rate of change of the interval [a,b] is (f(b)−f(a)) / (b−a)
Replacing a=−5, b=4, f(x)=−x^2−5x+12.
(f(b)−f(a))/(b−a) =12−5x4− 4^2 − (12−5 x(−5)−(−5)^2)/ (4−(−5))= −4.
Answer:
The equation in standard form is:
x^2-40x-6000 = 0
Step-by-step explanation:
Let the length of the field be x yards.
Now the width of the field is 40 yards less than the length of the field.
Thus, the width of the field would be (x-40) yards
Now, to calculate the area of the field, we simply multiply the length of the field by the width of the field.
Hence;
Since the shape is rectangular, the area is the product of the length and that of the width
x(x-40) =6,000
x^2 -40x = 6,000
x^2-40x-6000 = 0
