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son4ous [18]
3 years ago
14

What is a real world example of rate of change

Mathematics
1 answer:
Tatiana [17]3 years ago
3 0

Answer:

Step-by-step explanation:

A population of rats increasing by 40 rats per week. A car traveling 68 miles per hour  

distance traveled changes by 68 miles each hour as time passes)

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Write the following function in standard form. Show your work. y=(x-5)(x+5)(2x-1)
Gnesinka [82]

Answer:

\boxed{y=4x^3-x^2-50x+25}


Step-by-step explanation:

The given function is


y=(x-5)(x+5)(2x-1)


Observe that, the first two factors are from difference of two squares.


\Rightarrow y=(x^2-5^2)(2x-1)


\Rightarrow y=(x^2-25)(2x-1)

We expand the brackets using the distributive property to obtain;

\Rightarrow y=2x^2(2x-1)-25(2x-1)


\Rightarrow y=4x^3-x^2-50x+25


The above function is now in standard form, since the terms are arranged in descending powers of x.



4 0
4 years ago
HELP DUE IN AN HOUR
miss Akunina [59]

Answer:

D) no solution.

Step-by-step explanation:

4(x + 1) ≤ 4x + 3

First, distribute 4 to all terms within the parenthesis:

4(x + 1) = 4(x) + 4(1) = 4x + 4

4x + 4 ≤ 4x + 3

Isolate the variable, x. Treat the "≤" as an equal sign, what you do to one side, you do to the other. Subtract 4x and 4 from both sides:

4x (-4x) + 4 (-4) ≤ 4x (-4x) + 3 (-4)

4x - 4x ≤ 3 - 4

0 ≤ -1

Since x was eliminated from the inequality, and you need the x for the inequality, your answer is D) no solution.

~

4 0
3 years ago
Read 2 more answers
What is the percent decline, to the nearest whole number, of rusty patched bumble bees from 20 years ago to today?
Andrej [43]
Sasuke is pretty cool
6 0
3 years ago
Read 2 more answers
What is the equation for X in 4(x-7)
Cloud [144]

Answer:

Im not sure what you are asking. But if you are using distributive property then it would be simplified to 4x-28

Sorry if this isnt what you mean .-.

7 0
4 years ago
Read 2 more answers
What is the value of sin 0 given that (3-4) is a point on the terminal side of 0
Effectus [21]

Using trigonometric relations, we will see that:

sin(θ ) = -0.8

<h3>How to get the sine of the angle?</h3>

For any point (x, y), the angle between the positive x-axis and the ray that connects the origin with the point (x, y) is:

θ = Atan(y/x)

In this case, the point is (3, -4), then the angle is:

θ = Atan(-4/3) = -53.13°

Then the sine of theta is:

sin(θ  = -53.13°) = -0.8

If you want to learn more about trigonometric functions:

brainly.com/question/8120556

#SPJ1

8 0
2 years ago
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