Independent
..............
To find the maximum or minimum value of a function, we can find the derivative of the function, set it equal to 0, and solve for the critical points.
H'(t) = -32t + 64
Now find the critical numbers:
-32t + 64 = 0
-32t = -64
t = 2 seconds
Since H(t) has a negative leading coefficient, we know that it opens downward. This means that the critical point is a maximum value rather than a minimum. If we weren't sure, we could check by plugging in a value for t slightly less and slighter greater than t=2 into H'(t):
H'(1) = 32
H'(3) = -32
As you can see, the rate of change of the object's height goes from increasing to decreasing, meaning the critical point at t=2 is a maximum.
To find the height, plug t=2 into H(t):
H(2) = -16(2)^2 +64(2) + 30 = 94
The answer is 94 ft at 2 sec.
Answer:
40 + x is correct!
Step-by-step explanation:
Its simple, graph them.
For the first equation, go on the Y-Axis (the vertical one) and go to 4. Then from there go up 1, right 6.
For the second equation go on the Y-Axis (the vertical one) and plot a point at 1 (aka 0,1) Now you go up 1, right 3.
When you see an equation like y=2x+3, the 3 represents the point (0,3) as when the x is 0, y=3. Just plug the numbers in. And as for the "2x" 2 is the slope. Slope is always rise/run or up, then right. So if its 2 your slope is 2/1, rise 2, over 1. If it "-2x" is your slope then all you have to do is go down 2, right 1.
I hope this cleared up your confusion, brainliest/heart would help.
Answer:
185/27
Step-by-step explanation:
To get the polynomial that is exactly divisible by g(x)=3x+2, we have to divide f(x)=3x
4
−2x
3
+3x
2
−2x+3 by g(x) and get the remainder as shown in the above image.
Hence,
27
185
should be subtracted from 3x
4
−2x
3
+3x
2
−2x+3 so that the resulting polynomial is exactly divisible by 3x+2.
