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3 years ago

What is the range of the function graphed below?

Mathematics

1 answer:

Fynjy0 [20]3 years ago

8 0

Answer:

-3<y<=3 or B

Step-by-step explanation:

first we find the smallest y value which is -3

then we find the largest y vlaue which is three

so since there is an open circle at negative three we do not include it while at three we do.

so the answer would be -3<x<=3

if my answer helps please mark as brainliest.

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Bryan initially filled a measuring cup with 3/10 of a cup of syrup from a large jug. Then he poured 1/10 of a cup back into the

wariber [46]

2/10. 3-1/10 = 2/10.

7 0

3 years ago

Find the opposite of 1/3 and of -7/12

dimaraw [331]

Opposite number is the same number with the opposite sign:

So the opposite of $\frac{1}{3}$ is $-\frac{1}{3}$ , since the original number is positive

opposite of $- \frac{7}{12}$ is $\frac{7}{12}$ , since the original number is negative

3 0

3 years ago

Read 2 more answers

b) If parametric equations of a flow line are x = x(t), y = y(t), explain why these functions satisfy the differential equations

sineoko [7]

Answer:

The equation of the the flow line that passes through the point (x, y) = (−1, −1) is

In y + In x = 0 or in another form, xy = 1.

Step-by-step explanation:

The pathline equation for a vector field is given by F(x,y) = xî - yj

The velocity vector field for the streamline of the flow is given by

V(x, y) = (dx/dt)î + (dy/dt)j

From the question, it is given that

(dx/dt) = x

(dy/dt) = -y

Hence, the velocity vector field for the streamline of the flow in question is

V(x, y) = xî - yj

which coincides with the pathline vector field of the flow.

The only time the pathline and streamline vector field coincide and have the same equation is when the flow is a steady state flow.

That is, the properties of the fluid flowing isn't changing with time!

Hence, this flow is a steady state flow!

We're told to solve the differential equation.

(dx/dt) = x

(dy/dt) = -y

but

(dy/dx) = (dy/dt) × (dt/dx)

(dy/dx) = -y/x

(dy/y) = -(dx/x)

∫(dy/y) = -∫ (dx/x)

In y = - In x + c

where c is the constant of integration

In y + In x = c

In (xy) = c

Inserting the values of (x, y) given in the question,

In (-1 × -1) = c

In 1 = c

0 = c

c = 0

In y + In x = 0

In (yx) = 0

xy = e⁰ = 1

xy = 1

So, the equation of the the flow line that passes through the point (x, y) = (−1, −1) is

In y + In x = 0 or in another form, xy = 1

Hope this Helps!!!

4 0

3 years ago

Eli left his house one afternoon to study at the library. The graph shows his distance, in miles, away from his house as a funct

jeka94

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. The correct option is C.

<h3>What is a graph?</h3>

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The graph for the given question is attached below.

As it can be seen that the y-axis shown the distance between Eli's location and his home, since the distance is starting to decrease when the time is 120 seconds, therefore, it can be concluded that Eli rode his bicycle home from the library.

Hence, the correct option is C.

Learn more about Graph:

brainly.com/question/21608293

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