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.
Answer:
y= -2x + 11
Step-by-step explanation:
standard form for lines is y=mx+b
m is the slope and b is the y intercept
we already know that m is -2, so we just need to figure out the intercept.
the point given is (7,-3)
points are written as (x,y) so we can plug it into the equation with 7 for the x and -3 for y
-3 = -2 (7) + b
-3 = -14 + b
11 = b
so the equation is y=-2x+11
Answer:
48
Step-by-step explanation:
60% of 80 is 48
