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BlackZzzverrR [31]
3 years ago
13

How do you find the average rate of change for f(x)=9-x^2 between two points: x=0 to x=3?

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
3 0

Answer:

The average rate of change is -3.

Step-by-step explanation:

We are given the function:

f(x)=9-x^2

And we want to find the average rate of change from <em>x </em>= 0 to <em>x </em>= 3.

In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.

For our first endpoint at <em>x</em> = 0, our function evaluates to:

f(0)=9-(0)^2=9

So, our first point is (0, 9).

For our second endpoint at <em>x</em> = 3, our function evaluates to :

f(x)=9-(3)^2=0

So, our second point is (3, 0).

Then by the slope formula, our average rate of change will be:

\displaystyle m=\frac{0-9}{3-0}=\frac{-9}{3}=-3

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A circular garden has a diameter of 6 yards what is a area of the garden
Angelina_Jolie [31]

Answer:

I think it's 24 too

Step-by-step explanation:

8 0
3 years ago
Solve f(1) for f(x)=1-5x<br><br> f(1)= [?]
Tpy6a [65]
The answer is:  "- 4 " .
________________________________________
     " f(x) = - 4 " .
________________________________________
Explanation:
________________________________________
Given:  " f(x) = 1 – 5x " ;  Find:  " f(1) " ; 

Substitute "1" for values of "x" ;

→  f(1) = 1 – 5(1)  = 1 – 5 = - 4 .

The answer is:  "- 4 " .
________________________________________
     " f(x) = - 4 " .
________________________________________
5 0
3 years ago
Given that cos75º 0.259, which statement below
Ainat [17]

Alright, lets get started.

Please take a look at the diagram attached.

The reference angle of 75 will be 75

As it is mentioned that the angle intersects the unit circle means r = 1

So, finding cos

cos 75 = \frac{X}{r}

cos 75 = \frac{0.259}{1}

cos 75 = 0.259 is the Answer

Hope it will help :)

6 0
3 years ago
Read 2 more answers
Convert 5 feet to inches there are 12 inches in 1 foot
ladessa [460]

Answer:

60

Step-by-step explanation:

12*5=60

12 inches in a foot, you have 5 feet so 12*5=60

3 0
3 years ago
Read 2 more answers
A shooting star forms a right triangle with the Earth and the Sun, as shown below:
Semmy [17]

I found this!!!!

The scientist can use these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

- The scientist can substitute these measurements into cos\alpha=\frac{adjacent}{hypotenuse}cosα=

hypotenuse

adjacent

and solve for the distance between the Sun and the shooting star (which would be the hypotenuse of the righ triangle).

Step-by-step explanation:

You can observe in the figure attached that "AC" is the distance between the Sun and the shooting star.

Knowing the distance between the Earth and the Sun "y" and the angle x°, the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

This is:

cos\alpha=\frac{adjacent}{hypotenuse}cosα=

hypotenuse

adjacent

In this case:

\begin{gathered}\alpha=x\°\\\\adjacent=BC=y\\\\hypotenuse=AC\end{gathered}

α=x\°

adjacent=BC=y

hypotenuse=AC

Therefore, the scientist can substitute these measurements into cos\alpha=\frac{adjacent}{hypotenuse}cosα=

hypotenuse

adjacent

, and solve for the distance between the Sun and the shooting star "AC":

cos(x\°)=\frac{y}{AC}cos(x\°)=

AC

y

AC=\frac{y}{cos(x\°)}AC=

cos(x\°)

y

7 0
3 years ago
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