The management of a restaurant with locations all over the country has developed a new hamburger that researchers believe will s
1 answer:
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the function is given, and it's value is where the object is ("how far to the right").
so as long as it rises (going more right), this will be apply.
in the screenshot I graphed the function. of course t is graphed as x and "along the x-axis" is graphed as y, but the pattern is the same anyways.
for the first 1.25 seconds the object goes to the left, and after that always to the right.
since we look at t to calculate x, t effectively takes the role of the important variable that is normally given to x. the calculation pattern are just the same. so let's find the lowest point of this function by calculating it out.
x(t) = 2t² – 5t – 18
x'(t) = 4t -5
x'(t) = 0
0 = 4t -5
5 = 4t
1.25 = t
plugging it into the second derivative
x''(t) = 4
x''(1.25) = 4
it's positive, so at t=1.25 there is a low point
(of course the second derivative is constant anyways.)
the object is traveling toward the right
the object is traveling toward the rightfor t > 1.25
Answer: C
Step-by-step explanation:
We are given the information that:
- The airplane is at 50,000 feet
- It descends 2,500 feet in 1 minute
- x = minutes
For ease of solving this question, let's set the number of minutes (x) to 1.
- In one minute, we know the plane will drop to 47,500 feet. (50,000 - 2,500(x))
There are multiple ways to write this equation bu shifting around negative and positive values. Another way to write this equation would be (-2,500(x) + 50,000). That would be choice C.
Try it out~
It works, so our answer is C.