Two students in your class, Hunter and Maggie, are disputing a function. Hunter says that for the function, between x = −2 and x = 2, the average rate of change is 0. Maggie says that for the function, between x = −2 and x = 2, the graph goes up through a turning point, and then back down. Explain how Hunter and Maggie can both be correct, using complete sentences. (10 points)

Answers

Answer 1

Answer:

Hunter and Maggie can both be correct because when the average rate of change is zero, the sum of all possible positive slopes and negative slopes on the interval will be zero. The sum of the possible positive slopes cancels out the sum of the possible negative slopes.

In this case the graph would be a parabola with the equation ax^2+bx+c where a is negative

Answer 2

According to hunter

In the interval [-2,2]

The average rate of change is 0

According to Maggie

The graph goes up through a turning point and back down

They can be correct

Because

If sum of all positive and negative slopes is zero then average rate of change is zeRos

So there is only one possibility

It's a parabolaThe turning point is vertex

Then they both are correct


Related Questions

Find the value of 4x +3 given that 7x+9=2.

Answers

Answer:

-1

Step-by-step explanation:

First 7x+9=2

We solve for x in this equation

7x=2-9

7x= -7

x= -7/7= -1

Then x= -1, we substitute for x in this equation 4x+3

4(-1)+3= -4+3= -1

The answer is -1

Explanation:
7x+9=2

subtract 9 on both sides making the new equation 7x=-7

then divide 7 on both sides to get the x by itself leaving you with x=-1

next plug in -1 into x for 4x+3

4(-1)+3=-1

QUESTION ON PIC TY!!!

Answers

Answer:

Step-by-step explanation:

Multiply each number times 2 and then subtract from 29

3: 23

4: 21

5: 19

6: 17

Find the function with x-intercepts (-3,0) and (5,0), which also goes through the point (1,8).
o f(x) = 0.5(x − 3)(x + 5)
o f(x) = -0.5(x − 3)(x+5)
o f(x) = 0.5(x + 3)(x - 5)
o f(x) = -0.5(x + 3)(x – 5)

Answers

Answer:

f(x) = -0.5(x + 3)(x - 5)

Step-by-step explanation:

if the function intercepts the x-axis at x = -3 and x = 5, then

f(-3) = 0  and f(5) = 0

Therefore, we can say that (x + 3) and (x - 5) are factors as:

x + 3 = 0   ⇒ x = -3

x - 5 = 0   ⇒ x = 5

So  f(x) = a(x + 3)(x - 5)  where a is a constant

We are told that the function also passes through point (1, 8).

Substitute x = 1 into the function and equal it to 8:

Therefore, f(1) = a(1 + 3)(1 - 5) = 8

                               a x 4 x -4 = 8

                                   a x -16 = 8

                                            a = -0.5

Therefore, f(x) = -0.5(x + 3)(x - 5)

Ooohh ask me something I can already solve….

Answers

Answer:

uh

Step-by-step explanation:

i do not know

PLEASE HELP
WILL MARK BRAINLIEST

Answers

[tex]\qquad[/tex] ☀️[tex]\pink{\bf{ {Answer = \: \: -2 }}} [/tex]

Let assume –

[tex] \bf (x_1,y_1) = (t,-6)[/tex][tex] \bf (x_2,y_2) = (-1,3)[/tex]

As we know – The slope formula is or the change in the y values over the change in the x values.

[tex]\qquad[/tex] [tex]\pink{\twoheadrightarrow\bf Slope, m = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

According to the question –

[tex]\qquad[/tex] [tex]\pink{\twoheadrightarrow\bf \dfrac{y_2-y_1}{x_2-x_1} = 9}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \dfrac{3 -(-6)}{-1-t}=9[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \dfrac{3+6}{-1-t} = 9[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \dfrac{9}{-1-t}=9[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \dfrac{1}{-1-t} = \dfrac{9}{9}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \dfrac{1}{-1-t} =\cancel{ \dfrac{9}{9}}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf -1-t = 1 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf -t = 1+1 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf -t = 2[/tex]

[tex]\qquad[/tex] [tex]\pink{\twoheadrightarrow\bf t = -2}[/tex]

Henceforth,Value of t will be -2.

answer:  When we are given 2 points, we can find the slope using those 2 points.  Now one point is missing a y-coordinate.  We use the formula for slope to find the value of r.

Slope = (y2 - y1) / (x2 - x1)

Let Point 1 = (-9, r) = (x1 , y1)

Let Point 2 = (-8, 0) = (x2 , y2)

Plug in these values into the formula for slope.  By doing so, we can get an equation that allow us to solve for r.

6 = (0 - r) / (-8 - (-9))

6 = -r / (-8 + 9)

6 = -r / 1

Multiply both sides of equation by 1.

6 = -r

Divide both sides of equation by -1.

-6 = r

pls mark me as brainliest


Question 2) Simplify by rationalizing the
denominator.
4 Square root of 15/Square root of five
please show your work

Answers

[tex]\\ \tt\hookrightarrow \dfrac{4\sqrt{15}}{\sqrt{5}}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{4\sqrt{3}\sqrt{5}}{\sqrt{5}}[/tex]

[tex]\\ \tt\hookrightarrow 4\sqrt{3}[/tex]

Done

Is (-8, 7) a solution to this system of inequalities?
yzx +7
yzax - 7 7
-1
-
4
yes
no

Answers

7>= -1/2(-8) +7
well
-1/2(-8)=4
4+7=11
is 7 greater than or equal to 11? NO.
so without even plug in for the next equation, you can select NO.

please show steps!1​

Answers

Answer:

[tex]5\sqrt[3]{25}[/tex]

Step-by-step explanation:

Let's factor to see if it's a perfect cube: 3 is a factor, so let's divide: [tex]1875:3 = 625[/tex]. 625 is no longer divisible by 3, but it is by 5, in particular it's [tex]5^4 = 625[/tex]. At this point we can start taking out of the cube root as much as we can:

[tex]\sqrt[3]{1875} = \sqrt[3]{3\times 5^4} = \sqrt[3]{3\times 5\times 5^3} = 5 \sqrt[3]{3\times5} = 5\sqrt[3]{25}[/tex]

The fan cost index (FCI) tracks the average cost for attending costs for attending sporting events, including tickets, drinks, food, parking, programs, and souvenirs. According to the FCI, a family of four would spend a total of $592.30 to attend two Major League Baseball games (MLB) game. The family would spend $691.31 to attend one MLB and two NBA games. Write and solve a system of equations to find the family’s cost for each kind of game according to the FCI.

Answers

Your answer will be 1,283.31 thank u and have a great day

Nine less than the product of a number n and 1/6 is no more than 92

Answers

Answer:

Please help im on that 2dd

Step-by-step explanation:

dddd

How you can convert 52 ounces to pounds? Explain.

Answers

Answer:

There is 16 ounces in one pound.

52/16 = 3.25 lbs = 3lbs 4oz

Step-by-step explanation:

Ms. Koons bought Super Bowl tickets to see Snoop Dogg at the halftime show. Tickets for the game were $5,900 (actual price of tickets!!! WHOA). Ticketmaster then had the nerve to charge another 3% for a service fee. How much did Ms. Koons end up paying for the fee? How much were the tickets AND fee then?

Answers

Answer:

6077

Step-by-step explanation:

3% of 5,900 is 177 so the ticket and the fee would be 5,900+177=6077

Answer:

tickets + fee = 6077 dollars

fee = 177 dollars

Step-by-step explanation:

hope this helps

pls help with exterior angles. le annoying

Answers

Answer:

8π/45 rad or 0.558505

Step-by-step explanation:

to convert into radian measure, multiply by π/180° rad

32°x π/180° rad

reduce the expression with 4° = 8 x π/45 rad

calculate the product = 8π/45 rad

you get

8π/45 rad

alternate form:

0.558505


On his lunch break, Tony buys a piece of pizza and a salad. The total
purchase is $10.08. The salad cost $4.56. Which equation could be used
to find the cost of the piece of pizza?

Answers

Answer:

$10.08 = 4.56 + x

Answer:

The equation Subtraction can be used to find the cost of the pizza.

This is because:

total= 10.08(pizza + salad)

salad= 4.56

therefore pizza equals 10.08- 4.56 = 5.5

Please give me brainiest If this worked

Please help with question 4

Answers

y = 4x -3

Find the y-intercept; (0, -3). Plug this coordinate's y-value in for the b (y = mx + b).

Now, find two points on the line to do slope formula, or you can do rise over run. For example, if I had the points (0, -3), and (1, 1), I'd have the formula [1 - (-3)] / (1 - 0), in which the division sign represents a fraction. The simplified version of this fraction will be 4.

Plug this value in for m.

Now, your equation is y = 4x - 3

Help I don’t understand

Answers

Answer:

Jesus Christ what grade your in????

5. How many kilograms are in 1.2 grams?


a. 0.0012 kg*
b. 0.012 kg
c. 1200 kg
d. 12,000 kg

Answers

Answer:

I think is b. 0.0012

Step-by-step explanation:

Srep-by-step explanation:

A delivery truck weighs 5.5 tons before it is loaded with packages. Once the delivery truck is full of x packages it weighs 6.1 tons. Each package in the truck weighs 0.0075 tons.

How many packages are on the truck?

Answers

Answer:

there are total 80 packages are on the truck.

Explanation:

weight of the car + weight of the packages = total weight when car filled

5.5 tons + x ( 0.0075 tons ) = 6.1 tons

0.0075x = 6.1 tons - 5.5 tons

0.0075x = 0.6 tons

x = ( 0.6 tons ) / ( 0.0075 )

x = 80 packages

58:37
Which is the simplified form of the expression (6-2
C D
630
69
Ο Ο Ο
69
613
Save and Exit
Next
Submit
Mark this and return

Answers

Answer:

[tex](6^{-2}*6^{5} )^{-3} \\\\(6^{3} )^{-3} \\\\ \frac{1}{(6^{3})^{3} } \\\\\frac{1}{6^{9} }[/tex]

Step-by-step explanation:

Option B is correct

type the correct answer in the Box. Use Roman numerals instead of words. The graphs of functions f and g are shown. Function g is defined as g(x) = k f(x). what is the the value of k? NO LINKS! ​

Answers

Answer:

k = 2

Step-by-step explanation:

Take some reference points on the graph of f and g:

f(2) = 1, g(2) = 2f(4) = 2, g(4) = 4f(8) = 4, g(8) = 8

According to the numbers above we can state:

g(x) = 2f(x)

So the value of k is 2

Answer:

K=2

Step-by-step explanation:

I did in on plato

Precalc Help pls!!! I am stuck on this one so pls help

Answers

Answer:

x not equal to 7

Step-by-step explanation:

(f ° g)(x)

= f (g(x))

So you are scrunching up the entire g(x) function and stuffing it into the x in the f(x).

This gives you

4/|x-7| see image.

x cannot be 7, bc if x is 7 the denominator would be 0 and that's never allowed. So the domain must be restricted and x not equal to 7.

Color in the grid to represent the fraction 25/100

Answers

Answer:

shade in 25 squares out of 100

hey can you help me plzzzzzz don't answer if you don't know the answer​

Answers

Answer:

60,66  -  GCF-6  LCM-660

44,14  -   GCF-2   LCM-308

7,56   -   GCF-7    LCM-56

20,22 -   GCF-2    LCM-220

13,31  -    GCF-1    LCM-403

HOPE THIS HELPS

Burning fuels in power plants and motor vehicles emits carbon dioxide (CO2) , which contributes to global warming. The CO2 emissions (metric tons per capita) for countries varies from 0.04 in Burundi to 43.86 in Qatar. The data set, which contains information on 203 countries, is too large to display, but here are the data for the first 5 countries. Find the mean, ⎯⎯⎯, and the median, , for the full data set. Give your answers to three decimal places.

Answers

The mean of the data set is 3.560. The median of the data set is 1.98.

What is the Mean and the Median of a Data?

The mean of a data set refers to the average of the data distribution which is achieved by the sum of all the data set divided by the number of values in the data set.

The median refers to the middle value when being ranked from the highest to the lowest.

The missing data for the first 5 countries are as follows:

Country          CO2 emission (metric tons per capita)

Aruba               8.41

Afghanistan     0.29

Angola              1.29

Albania              1.98

Andorra             5.83

The mean of the data set is computed as:

[tex]\mathbf{Mean \ \bar {x} = \dfrac{8.41+0.29+1.29+1.98+5.83}{5}}[/tex]

[tex]\mathbf{Mean \ \bar {x} =3.560}[/tex]

To determine the median of the data set, we first rearrange the data set from the highest to the lowest:

= 8.41, 5.83, 1.98, 1.29, 0.29

The median value is 1.98

Learn more about the Mean and Median of a data set here:

https://brainly.com/question/14532771

Find the area and the circumference of a circle with diameter 7 m.
Use the value 3.14 for it, and do not round your answers.

Answers

Answer:

C: 7π metersA: 

12.25π meters squared

Step-by-step explanation:

Circumference: dπ or 2πr (d is the diameter and r is the radius, which is half the diameter)

Area: πr2

Circumference: 7π meters (if you use an approximation such as 3.14 for π, multiply that by 7)

Area: (72)2π

Area: 12.25π meters squared (if you use an approximation such as 3.14 for π, multiply that by 12.25)

I can't find the value of x or DEG, I've been stuck for a while.​

Answers

Answer:

x = 4∠DEG = 32°

Step-by-step explanation:

We know that:

If a rectangle is divided by its diagonals, it will form 4 isosceles triangles (ΔDGH, ΔFHE, ΔGHF, ΔDHE).ΔFHE = 180 = 64 + 2yΔGHF = Isosceles triangle [∠G = ∠F]________________________________________________180 = 64 + 2(FEH)=> 116 = 2(FEH)=> ∠FEH = 116/2 = 58________________________________________________=> 90 - 58 = ∠DEG=> ∠DEG = 32°________________________________________________=> 90° = 6x + 8 + 58=> 90° = 6x + 66=> 90 - 66 = 6x=> 24 = 6x=> x = 4________________________________________________

Item 4
This graph shows a proportional relationship.

What is the constant of proportionality?

Enter your answer as a decimal in the box.

Answers

Answer:

Step-by-step explanation:

The constant of proportionality is the same thing as the slope when the y intercept is 0.

y1 = 27.6

y2 = 82.8

x1 =2

x1 = 6

m = (y2 - y1)/(x2 - x1)

m = (82.8 - 27.6)/(6,2)

m = 55.2/4

m = 13.8

The constant of proportionality = 13.8

Find the solution of the system of equations
shown on the graph.

Answers

Answer:

Answer:(0,3)Step-by-step explanation:The solution in a set of graphs is where they intersect. In this graph, they intersect at (0,3)

Which of the following variables are categorical and which are continuous (or numerical)? If the variable is numerical, then specify whether the variable is discrete or continuous? Points scored on a basketball game. Racial composition of a high school classroom. Heights of 15-year-olds. Color of cars in a mall parking lot Time it takes each student to complete a final exam. The final letter grades of students in a class. Record of daily high temperature for the month of January in Akron.

Answers

Variables are items that can change in value

The categorical variables are:

Racial composition of a high school classroom. Color of cars in a mall parking lot The final letter grades of students in a class.

The numerical variables are:

Points scored on a basketball game. (discrete)Heights of 15-year-olds. (continuous)Time it takes each student to complete a final exam. (continuous)Record of daily high temperature for the month of January in Akron. (continuous)

How to determine the type of the variables

Categorical variables are variables such as grades, and they are used in grouping collective variables of the same feature.

From the list of options, the categorical variables are: race, color and letter grades

On the other hand, numerical variables are variables that represent numbers, and they can take finite or non-finite values

When a numerical variable takes a finite value, then it is discrete.

If it takes non-finite value, then it is continuous

From the list of options, the discrete numerical variable is: points

While the discrete numerical variables are:  Heights, Time and temperature

Read more about discrete variables at:

https://brainly.com/question/251701

Kareem has 216 role-playing game cards.
His goal is to collect all 15 sets of cards.
There are 72 cards in a set. How many
more cards does Kareem need to reach
his goal?

Answers

Answer:

864 cards

Step-by-step explanation:

to find out how many cards he will need in order to make 15 sets we multiply 72 by 15=1080 cards

then you take away 216 from 1080=864 cards

OR

divide 216 by 72=3

15-3=12 sets needed

12 times 72=864 cards

The number of more cards that Kareem needs to reach his goal will be 12 864 cards.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The total number of cards is given as,

⇒ 72 x 15

⇒ 1,080

Then you take away 216 from 1080 will be given as,

⇒ 1,080 - 216

⇒ 864 cards

The number of sets in 216 cards is given as,

⇒ 216 / 72

⇒ 3

And the number of sets in 864 cards is given as,

⇒ 864/ 72

⇒ 12

The number of more cards that Kareem needs to reach his goal will be 12 864 cards.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

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