Answer:
Object will reach the max height in 10 seconds.
Max. height is 1817.
It will hit the ground in 20 seconds.
Step-by-step explanation:
In order to find the x value which makes the function take its greatest value, you need to take the derivative of the function and equalize the result to 0.
h'(t)=-12t+120=0
t=10
The object will reach its maximum height in 10 seconds.
h(10) (maximum height) = 6.10.10+120.10+17= 600+1200+17=1817
Considering this is a parabola, time in total is two times more than the time passed until reaching the max. height.
10.2=20
Answer: doritos
Step-by-step explanation: mmmm doritos
Answer:
11 °C
Step-by-step explanation:
- Initial temperature = 6 °C
- Final temperature = - 5°C
- Change in temperature
= 6 - (-5)
= 6 + 5
= 11 °C
Hope it helps you in your learning process.
So I am pretty sure you need to combine the shapes or you just need to make each of them 3d
Answer:
Option B k > 0
Step-by-step explanation:
we know that
Observing the graph
The slope of the line is positive
The y-intercept is negative
we have
![3y-2x=k(5x-4)+6\\ \\3y=5kx-4k+6+2x\\ \\3y=[5k+2]x+(6-4k)\\ \\y=\frac{1}{3}[5k+2]x+(2-\frac{4}{3}k)](https://tex.z-dn.net/?f=3y-2x%3Dk%285x-4%29%2B6%5C%5C%20%5C%5C3y%3D5kx-4k%2B6%2B2x%5C%5C%20%5C%5C3y%3D%5B5k%2B2%5Dx%2B%286-4k%29%5C%5C%20%5C%5Cy%3D%5Cfrac%7B1%7D%7B3%7D%5B5k%2B2%5Dx%2B%282-%5Cfrac%7B4%7D%7B3%7Dk%29)
The slope of the line is equal to
![m=\frac{1}{3}[5k+2]](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B3%7D%5B5k%2B2%5D)
Remember that the slope must be positive
so
The value of k is greater than -2/5
Analyze the y-intercept
1.5 is greater than zero
so
the solution for k is the interval ------> (1.5,∞)
therefore
must be true
k > 0
