Predict the rate of change for the depth of the diver for the intervals of [3, 4], [4, 5], and [5, 6].

Answers

Answer 1

Answer:

The rate of change is 1

Step-by-step explanation:

Given

[tex]\{[3, 4], [4, 5], [5, 6]\}[/tex]

Required

Predict the rate of change

Average rate of change (R) is calculated using:

[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]

Here, we have:

[tex][a,f(a)] = [3,4][/tex] and

[tex][b,f(b)] = [5,6][/tex]

Substitute these values in the above equation

[tex]R = \frac{6 - 4}{5 -3}[/tex]

[tex]R = \frac{2}{2}[/tex]

[tex]R = 1[/tex]

Also, check the rate of change using:

[tex][a,f(a)] = [3,4][/tex] and

[tex][b,f(b)] = [4,5][/tex]

The equation: [tex]R = \frac{f(b) - f(a)}{b - a}[/tex] becomes

[tex]R = \frac{5-4}{4-3}[/tex]

[tex]R = \frac{1}{1}[/tex]

[tex]R = 1[/tex]

Hence, the rate of change is 1


Related Questions

Between which two integers is the square root of 275?

13 and 14
14 and 15
15 and 16
16 and 17

Answers

Answer:

None

Step-by-step explanation:

A square root has to be two of the same number

3 1/3+(-2 1/4)+1 5/6

Answers

Exact Form:
35/12
Decimal Form:
2.916
Mixed Number Form:
2 11/12

3 1/3 +(-2 1/4) + 1 5/6 =???

Answers

Answer:

should be 4 and 9/12

Step-by-step explanation:

+$+$+$+$++$+$+#++#+#+$+

Combine -9(-5-4c) in like terms ​

Answers

Answer:

45+36c

Step-by-step explanation:

I'm not sure what u mean But i think they want u to distrubte the -9 to others

So -9*-5 is 45 and then -9*-4c is 36c so 45+36c

hoped that helped

what is the y intercept of
y=5x-8

Answers

Answer:

-8

Step-by-step explanation:

The equation is written in the form y=mx+b, where m is the slope and b is the intercept. So here the intercept is -8.

I need help with this, please and thank you to anyone who can do this.

Answers

Answer:

No

Step-by-step explanation:

Sooooooooooooo no

P.S. The answer is accually (Deleted)

Answer:

it is not correct

Step-by-step explanation:

the answer is instead of 55 its 73

if this is wrong im sryyyyy

Which algebraic expression could represent the phrase below

Answers

Answer:

B:   n - 5

Step-by-step explanation:

It said a number n, which is a variable.

Decreased means subtracting by 5.

So the answer would be:  n - 5

Am I aloud to have head pats and cuddlies from anyone? ^^
Signed~ Deku <3 <3

Answers

Answer:Ya <3

Step-by-step explanation:

A parabola can be drawn given a focus of (4, -3) and a directrix of y=5 Write the equation of the parabola in any form.

Answers

Answer:

The equation of the parabola is (x - 4)² = -16(y - 1)

Step-by-step explanation:

The standard form of the equation of the parabola is (x - h)² = 4p(y - k), where

The vertex of the parabola is (h, k)The focus is (h, k + p)The directrix is at y = k - p  

∵ The focus of the parabola is (4, -3)

∵ The focus is (h, k + p)

h = 4

k + p = -3 ⇒ (1)

∵ It has a directrix of y = 5

∵ The directrix of the parabola is y = k - p

k - p = 5 ⇒ (2)

→ Add equations (1) and (2) to find k and p

∵ (k + k) + (p - p) = (-3 + 5)

∴ 2k + 0 = 2

∴ 2k = 2

→ Divide both sides by 2

k = 1

→ Substitute the value of k in equation (1)

∵ 1 + p = -3

→ Subtract 1 from both sides

∴ 1 - 1 + p = -3 - 1

p = -4

∵ The form of the equation of the parabola is (x - h)² = 4p(y - k)

→ Substitute the values of h, k, p in it

∴ (x - 4)² = 4(-4)(y - 1)

∴ (x - 4)² = -16(y - 1)

The equation of the parabola is (x - 4)² = -16(y - 1)

Plz help will give brainest

Answers

Answer:

3

Step-by-step explanation:

Area of a triangle equals bh/2. Therefore, the base which is 5.25 *3 = 15.75. 15.75/2 = 7 and 7/8.

3 will be your answer have a great day

pls help due soon !!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: B) 12.5

Step-by-step explanation:

In a box-and-whisker plot, the first line(dot) is the smallest value, the second line is the first quartile, the third line is the median, the fourth line is the third quartile, and the last line(dot), is the maximum.

Hope it helps :D

HELP IM BEGGINGGGGGG

Answers

Answer:

1. between 4 and 4.5

2. between 3 and 3.5

3. between 5.5 and 6

Step-by-step explanation:

6x+4)+(4x+6) find the value of x

Answers

Answer: x equals 10x + 10

(PLEASE HELP WILL GIVE BRANLIEST!!!)
An elevator in a high-rise building moves upward at a constant rate. The table shows the height of the elevator above the ground floor after various



The function that models the
table of values is f(t) =

where "t" is the =

and f(t) is the=

determine the height, in feet, of the elevator at 14 seconds

Answers

Answer:

168

Step-by-step explanation:

Teresa finished her math test in 3/4 hour. Lamar finished his test in 2/3 hour.in how less time did Lamar finish his test compared to Teresa?

Answers

Answer:

5 minutes or 1/12 of an hour.

Step-by-step explanation:

3/4 of an hour is 45 minutes.

2/3 of an hour is 40 minutes.

45-40 = 5 minutes or 1/12 of an hour.

find m
pleaseeeeeeee hellppp

Answers

Answer:

maybe 95?

Step-by-step explanation:

Answer:

B or A but mainly B

Step-by-step explanation:

Tom went bowling with $27 to spend. He rented shoes for $5.75 and paid $4.25 for each game.

Answers

what is the question you’re asking

help me in this ?? and tysm !!

Answers

Answer:

x=2

z=95

Step-by-step explanation:

write the equation of the line that passes through the point (-2,7) and is perpendicular to a line that passes through the points (-6,1) and (0,4)

Answers

Answer:

Math

Step-by-step explanation:

I hope ican help sorry

Plzzzzzzzz help me it’s urgent

Answers

It should be A.
i know this because a proportion line is a straight line that travels through the origin.

help plz urgent ! “which ratio completes the probability distribution table”
1/48
3/48
28/48
16/48

Answers

Answer:

16/48

Step-by-step explanation:

Whats an equation in the form of y=ax+b ?

Answers

Answer: Slope-Intercept

MATH HELP!! MARKING BRAINLISEST!! :DD

Answers

Answer:

3

Step-by-step explanation:

9514 1404 393

Answer:

  3, -1

Step-by-step explanation:

The slope formula is ...

  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The values are shown filled in for y2 and y1. The green box is highlighting the location for x2, which the image shows is 3. When completed, the formula will be ...

  [tex]m=\dfrac{0-\,-2}{3-\,-1}[/tex]

The first blank shown is filled with x2 = 3.

The second blank shown is filled with x1 = -1.

Help show your work to

Answers

Answer:

1/3 + 1/4 = ?

(1/3 x 4/4) + (1/4 x 3/3)=?

I multiplied like so in order to get equal denominators

4/12+3/12=7/12

Step-by-step explanation:

The answer is 7/12 sorry it’s hard to show work on typing

What is the slope of the line?

Answers

Answer:

-2/3

Step-by-step explanation:

Visibly we can see the line passes through (0,3) and (3,1)

The equation for slope is [tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}} = \frac{3-1}{0-3}= \frac{-2}{3}[/tex]

I hope this helps! :)

Answer:

Slope = -2/3

Step-by-step explanation:

Rise over run, pick one point of intersection

Go up 2, go to the left until you reach another point of intersection, which is 3 units.

The table shows the number of cell phone towers a
company will build as the number of its customers
increases. Complete a and b below.
Cell Phone Towers
Customers (thousands) Towers
5.25
273
6.25
325
7.25
377
9.25
481
a. Is the relationship between number of towers and number of customers proportional? Explain.
Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
OA. No. The ratios of towers to customers are not all equivalent.
B. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of​

Answers

Answer:

The correct option is;

B. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of 52 Towers/(Thousand customers)

Step-by-step explanation:

The given data can be presented as follows;

Cell Phone Towers

Customer (thousands)    [tex]{}[/tex]   Towers

1) 5.25            [tex]{}[/tex]                          273

2) 6.25            [tex]{}[/tex]                         325

3) 7.25            [tex]{}[/tex]                         377

4) 9.25            [tex]{}[/tex]                         481

From the given data, we have the ratio Towers/Customer (thousands) given as follows;

For 1), we have;

273 Towers/(5.25 thousands customers) = 52 Towers/(Thousand customer)

For 2), we have;

325 Towers/(6.25 thousands customers) = 52 Towers/(Thousand customer)

For 3), we have;

377 Towers/(7.25 thousands customers) = 52 Towers/(Thousand customer)

For 4), we have;

481 Towers/(9.25 thousands customers) = 52 Towers/(Thousand customer)

Therefore, the ratios of towers to customers (thousands) all have the same equivalent unit rate of 52 Towers/(thousand customers).

Please give me the correct answer ​

Answers

Answer:

hypotenuse^2= 5^2+8^2

hypotenuse= 3

Step-by-step explanation:

What is the value of y?
Enter your answer in the box.
Round your final answer to the nearest whole number.

Answers

Answer:

I hope this helps! The answer is 9. I solved this by using “sin” to find y.

Step-by-step explanation:

giving 20 points pls help me asap ​

Answers

Answer:

fishy camera

Step-by-step explanation:

most distance in feet from surface

The fish camera is furthest from the surface of the water.

1.3.2 - Harry has a 14 foot pole. He cuts off 4 1/2 feet of it and then cuts off
another 2 %s foot section. How big in the pole now?h

Answers

Answer:

9.31 is what I got

So 9.31 feet

Step-by-step explanation:

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