1. How can you tell that a point on the graph is a maximum or minimum?
2. How would you explain average rate of change to a classmate who was absent today? What does it tell us and how do we find it?

please give a simple summary of both answers after the explanations!!

Answers

Answer 1

9514 1404 393

Answer:

there are no points higher than a maximum; no points lower than a minimumaverage rate of change is the slope of a straight line connecting the points of interest.

Step-by-step explanation:

1. A point on a graph is a maximum if there are no points on the graph that are higher.

A point on a graph is a minimum if there are no points on the graph that are lower.

Sometimes you're interested in a "local" maximum or minimum. In that case, the "no points higher/lower" rule refers to points in the immediate vicinity of the one of interest.

Sometimes you're interested in a maximum or minimum on an interval. In that case, the rule applies to points contained within the interval. (The maximum or minimum may be at the end of the interval.)

__

2. Average rate of change is defined over some interval. That is, you are given the end points of the interval of interest. The average rate of change is the slope of a straight line between those end points. The slope formula applies:

  [tex]m=\dfrac{y_2-y_1}{x_2-x_1} \quad\text{where the end points of the interval are $(x_1,y_1)$ and $(x_2,y_2)$}[/tex]


Related Questions

Choose the figure that models 6 divided by 3 over 4.
Use the figure to compute 6 divided by 3 over 4.

Answers

Answer:

The third one.

The area of a rectangle is represented by the expression 16m - 24. Which expression shows a factored version of the Area, one that shows the length and the width.

Answers

Answer: 8(2m-3)

Step-by-step explanation:

Nadeen bought a magazine for $7.50 and two sandwiches that cost the same price. She spent a total of $20. How much did each sandwich cost?

Answers

Answer:

Each sandwich cost $6.25

Step-by-step explanation:

Subtract the price of magazine then divide the remaining amount with 2 since the price of sandwiches same

(20 - 7.5) ÷ 2 = 6.25

PLEASEE helpppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

Measure of DE is 12

Step-by-step explanation:

Here, we want to get the measure of DE

We have two similar triangles here

BDE and BAC

if two triangles are similar, then the ratio of their sides are same

Thus, in this case, we proceed as follows;

Now, since DE cuts each side into half;

we can have AB as 2y; then BD as y

Thus, we have that;

BD/DE = AB/AC

y/4x + 4 = 2y/x + 36

2y(4x + 4) = y(x + 36)

2(4x + 4) = x + 36

8x + 8 = x + 36

8x-x = 36-8

7x = 28

x = 28/7

x = 4

recall;

DE is 4x + 4

insert x = 2

DE = 4(2) + 4

DE = 12

Marsha is changing her phone
service. One data package charges
an initial fee of $50 and $13.25 per
month. The other has no initial fee
but charges $25.75 per month for
the same data package. After how
many months would Marsha have
paid the same amount for either
data package?
Someone help me plz quickly

Answers

month 4: 13.25*4=53. 53+50 = 103

month 4: 25.75*4 = 103

They both cost $103 on month 4

PLEASE HELP!!! Stacy’s bill at IHOP was $23.15. How much will she spend altogether if she leaves a 20% tip

Answers

Answer: $27.78

Brainliest?

Step-by-step explanation:

20% of 23.15

can be found by doing: 0.2 x 23.15 = 4.63

Add 23.15 and 4.63 = 27.78

Cody bought ten candy bars for a total of $32.30. How much did each candy bar cost?

Answers

Answer:

$3.23

Step-by-step explanation:

Answer:

3.23

Step-by-step explanation:

32.30/10

What is the distance between (-1,-3),(1,3)

Answers

Answer:

4,4 is the distance

Step-by-step explanation:

cause its 4 squares away for both

(4,4) is the distance

Line b has a slope of
Line c is parallel to line b. What is the slope of line c?

Answers

Answer:

[tex]\frac{-5}{9}[/tex]

Step-by-step explanation:

The slope of two parallel lines is the same. As long as the y-intercept is different then, the lines are parallel. Therefore, if the slope of line b is [tex]\frac{-5}{9}[/tex] then the slope of line c must also be [tex]\frac{-5}{9}[/tex].

Alice has just discovered base 10 cake! She is delighted with how powerful it is. One day, after nibbling on the cake, Alice realizes she is 1 mile tall. Having her head in the sky makes her think about space travel. She decides she wants to visit the moon, which is about 239,000 miles from the earth. How many more ounces of base 10 cake should Alice eat so the top of her head just touches the moon? Give your answer to the nearest hundredth of an ounce.

Answers

Answer:

5.38 ounces

Step-by-step explanation:

Given that :

Alice height = 1 mile

Distance of earth to moon = 239000 miles

Number of base 10 cakes required so they Alice's head just touches the moon ;

Using the relation :

Distance = height per ounce * 10^number of ounces

Height per ounce = 1 mile ;

Let number of ounces = n

Hence,

239000 = 1 * 10^n

239000 = 10^n

Take log of both sides

Log(239000) = n

5.3783979 = n

5.3784 = n

Hence, Alice should take 5.38 ounces of base 10 cakes

Given lines p and q are parallel, find the value of x that makes each diagram true.

Answers

Answer: for a the answer is 140° and for b x=25°

Step-by-step explanation:

for a, when you have 2 parallel lines cut by a transversal,the corresponding angles are congruent. and the angle140 is congruent to the corresponding angle as they are vertical angles are congruent.

for b, angle x is congruent to the angle that is supplementary to 155 therefore 180-155=25°

2. In the formula y = mx + b, what does "m" stand for?
a) y-intercept
b) slope
O C) x-axis
d) y-axis

Answers

Answer:

B.)Slope

In the equation y = mx + b for a straight line, the number m is called the slope of the line.

Given f(x) = -3x + 3, solve for x when f(x) = 9.

Answers

Answer:

x = -2

Step-by-step explanation:

f(x) = -3x + 3

f(x) = 9

-3x + 3 = 9

Subtract 3 from both sides;

-3x = 6

Divide both sides by -3

x = -2

I think the awnser might be 3

Joe earns $425 a week for working 40 hours and an additional $20 an hour for each hour over 40. Last week, Joe made $485. Write and solve an equation to determine how many hours over 40 he worked. (Don't forget to define your variable and answer in a complete sentence.) How many total hours did Joe work last week?

Answers

Answer:

Joe worked 3 hours overtime.

Step-by-step explanation:

Let t = number of hours overworked

425 + 20 × t = 485

425 + 20t = 485

20t = 485 - 425

     = 60

[tex]\frac{20t}{20} = \frac{60}{20}[/tex]

t = 3

[tex]\therefore[/tex] Joe worked 3 hours over time.

Hope this helps :)

Please help me with circle theorems

Answers

Answer:

x = 38°, y = 68°, z = 55°

Step-by-step explanation:

This would be easier to explain if the vertices were labelled , however

Angles at the circumference of the circle subtended on the same arc are congruent.

x and 38 are subtended on the same arc

y and 68 are subtended on the same arc

z and 55 are subtended on the same arc

Thus

x = 38°, y = 68° and z = 55°


Big Henry orders a total of 16 frozen pizzas and burritos. The number of pizzas he orders is three times the number of burritos.
How many of each type of frozen food did he order?

Answers

98

98 because 16 x 3 is 48 x 2 is 98

Which expression can be used to find 80% of 120?


80% of 120
20%
20%
20%
20%
20%



(0.8) (24)
(0.2) (120)
(0.8) (120)
(0.2) (24)

Answers

Answer:

96

Step-by-step explanation:

80÷100×120

96 ,, , ,; , ,

Answer:

(0.8) (120)

Step-by-step explanation:

[tex]80\% \: of \: 120\\\\ = \frac{80}{100} \times 120 \\ \\ = (0.8)(120)\\\\=96[/tex]

Software on your computer is taking a long time to load. What could help solve this problem? Close and reopen the program. Delete the program from the computer. Open a different program instead. Select the program icon again.

Answers

Answer: I think is close and reopen the program

Step-by-step explanation:

The option for problem is Close and reopen the program.

What is software?

Software is a set of instructions for a computer to follow. The entirety of a computer system's programs, procedures, and routines are referred to as software. The term was developed to distinguish these instructions from hardware—for example, a computer system's physical components.  A software program is a set of instructions that tell a computer's hardware how to do something.

System software and application software are the two most common types of software. A computer's internal operation is primarily controlled by an operating system, but system software also controls monitors, printers, and storage devices.

Given Software on computer is taking a long time to load,

There are a few simple solutions for programs that take a long time to open:

Restart your computer, Scan for viruses and malware with Windows Defender or another antivirus program. Use System File Checker to fix the slowness. And Close and reopen the program.

Hence Verify that each and every option for utilizing the software is functional,  Close and reopen the program.

Learn more about software;

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If the point A is located at (2, 3) and A' is the image of A after being rotated about the origin by 90° (counter clockwise). What are the coordinates of A'?​

Answers

-2,3 I’m pretty sure

The length of the sides of a square is given by the expression 4.8x + 2.4. Which expression represents the perimeter of the square?​

Answers

Just multiply the expression by 4.
4(4.8x + 2.4)
19.2x+9.6

9/2 divided by 3/4
I’m taking a test rn so please answer

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

[tex]\frac{9}{2}/\frac{3}{4}\\Keep ChangeFlip\\\frac{9}{2}*\frac{4}{3}=\frac{36}{6}=6[/tex]

The slope of a roof is called its pitch. The Parthenon,an Ancient Greek temple, has a roof with the rise of 4 m in a run of 12 m. What is the pitch of the roof?

Answers

Answer:

3m

Step-by-step explanation: divide 12m by 4m

20 points!!!! solve it! i will put the picturee

Answers

Step-by-step explanation:

The equation is y = 1.5x.

When x = 3, y = 1.5(3) = 4.5.

Find the measure of the numbered angle.

m∠5 =

Answers

Answer:

40°

Step-by-step explanation:

180- (90 + 40) = 50°

Angle 1 = 50°

180 - 50 = 130°

Angle 2 = 130°

180 - 130 = 50°

Angle 3 = 50°

180 - (90 + 50) = 40°

Angle 5 = 40°

OR

the two triangles are similar. Therefore, their angles are congruent. Since the tringle was only flipped and made slightly smaller, angles 9 and 5 are corresponding angles. (Both have the same measure of 40°)

Hope this helps. Have a nice day

Please help me out!!!!!

Answers

Answer:

Option C is your answer with the y intercept of -4 and x as 4 Please slow down on posting questions. This seems like your posting an exam.

Write the equation of the line in Slope Intercept Form; it is currently in Standard Form.
Do not leave ANY spaces in your answer. Example: y=8/3x+7

4x - 3y = 12

Answers

y=4/3x-4 should be correct

HELPPPPPPP!!!!!!!!!!

Answers

Answer:

The Second choice y+5=-3/4(x-2

Step-by-step explanation:

4y=3x+8 solve for y so it's y=-3/4x+2

and use the slope which is -3/4

2 = x then 5 = y

you used to pass through formula and plug it in soooo it's

y+5=-3/4(x-2)

sorry if this doesn't make any sense, I'm terrible at explaining

the ratio of the number of left-handed batters in a team to the number of right -handed batters was 5 : 8 there were 45 left-handed batters .
\
a) how many right-handed batters were there?


b) find the ratio of the number of left- handed batters to the total number of batters express youe=r answer in simplest form

Answers

Answer:

72 right handed batters.

Step-by-step explanation:

45/5=9

8*9=72

45:72=5:8

Hope this helps.

Answer:

a) 72 right-handed batters

b) 5:13

Step-by-step explanation:

This is the answer because:

1) For problem a, we can see that 5 x 9 = 45. In order to balance the ratio, we also have to mulitply the 8 with a 9:

8 x 9 = 72

Therefore, the answer is 72 right-handed batters.

2) For b, there are two ways to do it. Sine we know that there are 5 left-handed batters, we just add 5 + 8 = 13. Therefore, the simplest form of the ratio is 5:13. Another we can do it is by adding 45 + 72 = 117 (total batters). Then, 45 of them are left-handed batters which means the ratio is 45:117 = 5:13.

Therefore, the answer is 5:13.

Hope this helps! :D

The bowl has a diameter of 10 inches. What is its radius?​

Answers

5 because u divide it

The bowl has a of 5 inches.

What is the relation between radius and diameter?

The diameter is the measurement along the circle's widest point. Thus, that is the circle's diameter. It is pretty simply related to the radius. The radius divided by two gives the diameter.

Given

d = 10 inches

d = 2r

r = d/2 = 10/2 = 5

To know more about relation between radius and diameter refer to :

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Liam puts $50 in savings in March and 150% of this amount in savings in April.
How much does Liam put in savings in April?

Answers

Answer:

150% of 50 is 75, so the answer would be $75.

Step-by-step explanation:

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