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:
-5/24
Step-by-step explanation:
Find a common denominator:
-7/12 times 2= -14/24
3/8 times 3= 9/24
-14/24 +9/24 =5/24
Answer:
cosine 71 = adjacent / hypotenuse = 6.3 / BC
0.32557 = 6.3 / hypotenuse
hypotenuse = 6.3 / 0.32557
hypotenuse = 19.351
hypotenuse = 19.4 (to 3 significant figures)
Step-by-step explanation:
The system of inequalities that represent the graph is
y ≤ -x +4
y < 3x-1
The correct option is the third option
<h3>Graph of Inequalities</h3>
From the question, we are to determine the system of inequalities that represents the graph
The equation of the solid line is y = -x +4
Since the lower part of the graph was shaded
Then,
The inequality that represents the solid line is
y ≤ -x +4
The equation of the dotted line is y = 3x -1
Since the lower part of the graph was shaded,
Then,
The inequality that represents the solid line is
y < 3x-1
Hence, the system of inequalities that represent the graph is
y ≤ -x +4
y < 3x-1
The correct option is the third option
Learn more on Graph of Inequalities here: brainly.com/question/11234618
#SPJ1
