Mathematics, 13.07.2019 03:10 jalexus

(give brainest, if correct)
a system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. which constraint could
be part of the scenario?
a)the pool is 1 meter deep.
b)the pool is 2 meters deep.
c)the toy falls at a rate of at least a 1/2
meter per second.
d)the toy sinks at a rate of no more than a
1/2 meter per second

(give brainest, if correct)a system of inequalities can be used to determine the depth o

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Answer from: mckinneypaige9544

The toy sinks at a rate of no more than a 1/2 meter per second ⇒ D

Step-by-step explanation:

* Lets explain the graph

- There are two lines in the graph represented two inequalities

# Red line

- The red line which is horizontal line drawn at y = -1

- The equation of any horizontal line is y = c , c is the y-intercept

∵ The red line cuts y-axis at point (0 , -1)

∴ y-intercept is -1

∴ The equation of the line is y = -1

∵ The red shaded is over the red line

∵ The red line is a sold line

∴ The inequality is y ≥ -1

# Blue line

- The line has a slope

- The equation of any line is y = mx + c , where m is the slope of the

line and c is the y-intercept

- The slope of any line is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

where (x1 , y1) and (x2 , y2) are two points on the line

- Chose two point from the graph to find the slope of the line

∵ The line passes through points (2 , -1) and (-2 , 1)

∴ $m=\frac{1 - (-1)}{(-2) - 2}=\frac{2}{-4}=-0.5$

- The y-intercept is the intersection between the line and the y-axis

at point (0 , c)

∵ The line passes through the origin point

∴ c = 0

∴ The equation of the line is y = -0.5x

∵ The blue line is doted line

∵ The blue shading is under the line

∴ The inequality is y < -0.5x

- The solutions of the two inequalities lie in the common shaded part

(the red and blue shaded together)

∵ The system of inequalities is used to determine the depth of a toy

in meters, in a pool depending on the time, in seconds

∵ x-axis represents the time in seconds

∵ y-axis represents the depth of the toy in meter

∵ The rate of sink of the toy is meter per second means y/x

∴ The slope of the line represents the rate of sinks of the toy

∵ the slope is -0.5

∴ The rate of toy sinks is 1/2 meter per second

∵ y < -0.5x

- The sign (<) means no more than

∴ The toy sinks at a rate of no more than a 1/2 meter per second

Answer from: Quest

Sin(a)+cos(a)+cot(a)-1=2(csc(x)+1)

Answer from: Quest

false

step-by-step explanation:

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