All categories

3 years ago

How does the rate of change vary from point to point?

1 answer:

8 0

$\bf \begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 40&32\\ 28&16\\ 16&12\\ \cline{1-2} \end{array}~\hfill \stackrel{\textit{average rate of change}}{slope} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{40}~,~\stackrel{y_1}{32})\qquad (\stackrel{x_2}{28}~,~\stackrel{y_2}{16}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{16-32}{28-40}\implies \cfrac{-16}{-12}\implies \boxed{\cfrac{4}{3}} \\\\[-0.35em] ~\dotfill$

$\bf (\stackrel{x_1}{28}~,~\stackrel{y_1}{16})\qquad (\stackrel{x_2}{16}~,~\stackrel{y_2}{12}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{12-16}{16-28}\implies \cfrac{-4}{-12}\implies \boxed{\cfrac{1}{3}}$

You might be interested in

R divided by n plus t equals four v times n

BlackZzzverrR [31]

Answer:

(R/n)+t=4v

Step-by-step explanation:

5 0

3 years ago

HELP IMMEDDIATLY, PLEASE

maxonik [38]

I think it's B and D because both of them will give you the same answer which is 2.71 but turn it into fraction.

5 0

3 years ago

Read 2 more answers

What's 5x10 exponent 1

strojnjashka [21]

The anser is 50 becasue if u had an mini 1 above 1 that would mean u had to multiply it 5x10 2 time fro example 5x20 = 100

6 0

3 years ago

Read 2 more answers

O. Find the domain and range of each of the three restricted functions.

Orlov [11]

The domain and range of the functions sin x, cos x, and tan x will be (-∞, ∞) and [-1, 1], (-∞, ∞) and [-1, 1], and R - (2n + 1)π/2 and (-∞, ∞) respectively.

<h3>What are domain and range?</h3>

The domain means all the possible values of x and the range means all the possible values of y.

The three restricted functions are given below.

f(x) = sin (x)

f(x) = cos (x)

f(x) = tan (x)

Then the domain of the three restricted functions will be

The domain of sin x will be (-∞, ∞).

The domain of cos x will be (-∞, ∞).

The domain of tan x will be R - (2n + 1)π/2.

Then the range of the three restricted functions will be

The range of sin x will be [-1, 1].

The range of cos x will be [-1, 1].

The range of tan x will be (-∞, ∞).

The graph is given below.

More about the domain and range link is given below.

brainly.com/question/12208715

#SPJ1

4 0

2 years ago

21. Jesse saved his allowance all summer to by a wake board. He put $36.50 in his piggy bank every two weeks for 3 months. He sp

ddd [48]

So lets start out this problem with the initial amount of money jesse has:

$36.50 x (2 (times a month)) x (3 months) = $219

Then, you take 1/4 of his money (which can be converted to the decimal 0.25) and you subtract it from $219

$219 - ($219 x 0.25)

$219 - $54.75 = $164.25

Next, you have to subtract Jesse's lunch ($14.25) from the money he has left after purchasing his tow rope and bathing suit.

$164.25 - $14.25 = $150

Jesse's wake board cost him $150.

7 0

3 years ago