Answer:
The correct option is;
Increasing one fifth unit/sec
Step-by-step explanation:
The equation that gives the curve of the particle of the particle is y = 5·x² - 1
The rate of decrease of the y value dy/dt = 2 units per second
We have;
dy/dx = dy/dt × dt/dx
dy/dx = 10·x
dy/dt = 2 units/sec
dt/dx = (dy/dx)/(dy/dt)
dx/dt = dy/dt/(dy/dx) = 2 unit/sec/(10·x)
When x = 1
dx/dt = 2/(10·x) = 2 unit/sec/(10 × 1) = 1/5 unit/sec
dx/dt = 1/5 unit/sec
Therefore, x is increasing one fifth unit/sec.
The solutions of the function are:
- When f(x) = -4, the solution is -4
- When f(x) = -2, the solution is -5/2
- When f(x) = 0, the solution is -1
<h3>How to solve for the equation </h3>
The equation is given as
When x = -4
3/4 * -4 -1
= -12/4 - 1
= -4
When x = -2
3/4*(-4) - 1
= -6/4 - 1/1
Take the lcm
-10/4
= -5/2
When x = 0
3/4(0) - 1
= -1
When f(x) = -4, the solution is -4
When f(x) = -2, the solution is -5/2
When f(x) = 0, the solution is -1
Read more on real numbers here:
brainly.com/question/155227
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Answer:
It's the second answer down : Angle B, A and C
Step-by-step explanation:
Multiply 8 by x and 8 times 2 you should get 8x+16. Divide 8x by 8 and divide 16 by 8. Leaving x=2
Answer: Option 'B' and 'C' are correct.
Step-by-step explanation:
Since we have given that
A rocket was fired into the air.
The rocket reached a maximum height of 59 feet at point (3.5,59) as shown in the figure.
And it took the rocket 3.5 seconds to reach its maximum height.
and the rocket landed after 6.9 seconds, So option 'D' is false which states The rocket landed after 34 seconds.
The equation that represents the rocket’s height over time has two solutions is completely false as it has only one solutions.
Hence, Option 'B' and 'C' are correct.
