Use the graph to determine which one of the three statements below is a lie.

The average rate of change between [0,4] is positive
The average rate of change between [-3, 4] is 7.
The average rate of change between [0,4] is ¾.

Explain using one or two sentences why it is a lie or how to make it a true statement.

Use The Graph To Determine Which One Of The Three Statements Below Is A Lie.The Average Rate Of Change

Answers

Answer 1

Answer:

Step-by-step explanation:

One formula for "average rate of change" is

               f(b) - f(a)

a. r. c. = -------------------  = (increase in y) / (increase in x

                   b - a

In the case of this particular function, a = 0, b = 4, and the related y-values are f(a) = f(0) = -3, f(b) = f(4) = 0, and so the average rate of change of this function on (0, 4) is

               f(4) - f(0)          0 - (-3)

a. r. c. = ---------------- = --------------- = +3/4

                   4 - 0                  4

Therefore, "The average rate of change between [0,4] is positive" is true.

               

               f(4) - f(-3)          0 - (0)

a. r. c. = ---------------- = --------------- = 0 (not 7)

                   4 - 0                  4

Therefore, "The average rate of change between [-3,4] is positive" is false.  The average r. of c. is actually 0.  (Again, see above).

From above,

               f(4) - f(0)          0 - (-3)

a. r. c. = ---------------- = --------------- = +3/4    This is true

                   4 - 0                  4


Related Questions

Classify angle ABC on side length and angles measure

Answers

Answer:

isosceles, acute

Step-by-step explanation:

isosceles because there are two equal sides and acute because none of the angles is greater than 90 degrees

Help me please.

------------------------------------------------

Answers

Answer:

Alicia

Step-by-step explanation:

First, convert the mixed fractions into improper fractions

Alicia

Distance: 5 1/2 = 11/2 = 5.5 miles

Time: 1 2/5 = 7/5 = 1.4 hours

Carlos

Distance: 8 1/8 = 65/8 = 8.125 miles

Time: 2 1/2 = 5/2 = 2.5 hours

Henry

Distance: 3 2/3 = 11/3 = 3.6 reoccuring miles

Time: 1 1/10 = 11/10 = 1.1 hours

Zoe

Distance: 4 2/3 = 14/3 = 4.6 reoccuring miles

Time: 1 3/10 = 13/10 = 1.3 hours

After that, divide the distance by the time

Alicia = 5.5 / 1.4 = 3.93 ( 3 s.f )

Carlos = 8.125 / 2.5 = 3.25

Henry = 3.6 re / 1.1 = 3.3 reoccuring

Zoe = 4.6 / 1.3 = 3.54 ( 3 s.f )

Looking at these answers, we determine which rate is the greatest

Alicia = 3.93

Carlos = 3.25

Henry = 3.3 re

Zoe = 3.54

Alicia hiked the highest rate.

HELP ME PLEASE!!!
Which term accurately completes the proof?
A alternate interior
B corresponding
C same side interior
D vertical

Answers

Answer:

I believe the answer to this question is B

Step-by-step explanation:

Which statement is needed to prove that segment DE is half the length of segment BC?

Answers

Answer:

i dont know

Step-by-step explanation:

find the missing value

Answers

8,12,16,20 correct one

Given
f
(
x
)
=
x

5
f(x)=x−5 , create a function
g
(
x
)
g(x) that is steeper and shifts down 4 units on the y-axis.

Answers

The answer is g because I had that Same question and it was g

Solve the problem using a system of equations: The sum of two numbers is 12 and the product is 32.

Answers

[tex]\begin{cases} \stackrel{\textit{sum is twelve}}{a + b = 12}\\ \stackrel{\textit{product is 32}}{ab = 32}\\[-0.5em] \hrulefill\\ a + b = 12\\ b = 12 - a \end{cases}\qquad \implies \stackrel{\textit{substituting that in our 2nd equation}~\hfill }{a(12-a) = 32\implies 12a-a^2=32} \\\\\\ 0=a^2-12a+32\implies 0=(a-8)(a-4)\implies a= \begin{cases} 8\\ 4 \end{cases} \\\\\\ \stackrel{\textit{we know that}}{b = 12 - a}\implies b = \begin{cases} 12-8\to &4\\ 12-4\to &8 \end{cases}[/tex]

Plz help I need help

Answers

Answer:

a = -10

Step by step:

put it in standard form

you get

a+10=0

a = -10

Answer:

a= -12

Step-by-step explanation:

write your line down your paper on the equal sign

than do SADMAP, (backwards PEMDAS) so in this case subtract -7

do that on both sides

-7 cancels out making it positive 7 + -17

add

you should get -10 than bring down a

and you get

A=-10

Graph the line that passes through the points (3, -6) and (4, - 7) and determine the equation of the line.​

Answers

Answer:

y=-x-3

I attached a file so you can plot the points on your own.

Answer:

Step-by-step explanation: First we need to figure out the slope. There are two ways:

Slope Intercept form:

First you need to find the slope with Δy/Δx. This will plug in as

-7 - (-6)/ 4 - 3. This will simplify to -1/1, then -1. So m = -1

Now we have the equation y = -1x + b. We need to find b.

In order to do that, we need to plug in one of the points. I'm using (3,-6) but you can use whatever point. Once we plug it in, we have -6 = -(3) + b. Solve for b and you get -3. So the final equation is y = -x - 3.

Point Slope form:

Like the slope intercept form, we need to find the slope, in which case is -1. Next, we can use one of the ordered pairs again to plug it into the equation

y -  [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex]), where [tex]y_{1}[/tex] is the y of the pair and [tex]x_{1}[/tex] is the x of the pair. You can use the other points too. The final equation once you plug it in is y -(-6) = -(x-3) or y + 7 = -(x - 4).

Hope this helps!

Is 4x-3y=2 parallel or perpendicular ?

Answers

The answer is Perpendicular

Write equations for the vertical and horizontal lines passing through the point (-6, 6)

Answers

Vertical line: x = -6
Horizontal Line: y = 6

The vertical line will have the same x value everywhere, and the horizontal line will have the same y value everywhere. To write the equations, simply use the x and y values given in the coordinate pair.

Answer:

x=-6, y=6

Step-by-step explanation:

they go through them

Syyshshdhehqvswwpwurxwittau

Answers

Step-by-step explanation:

the picture isn't realistic but mathematically it's:

1) = 121°

2) = 59°

Please help!! Brainliest to correct

Answers

Answer:

Can you be more specific on this question?

Step-by-step explanation:

NEED IT FAST PLZ
Look at the two equations: ( look at picture is you don't understand)
-3x + 6 = 21
-3x + 6 < 21
Which statement best describes the process used to solve the equations?
A.) In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality.
B.) In both cases, divide by -3 on both sides, but reverse the inequality sign when doing that for the inequality.
C.) The process is exactly the same for solving the equation and solving the inequality.
D.)The process for solving the equation is entirely different from solving the inequality.​

Answers

Answer:

I believe it's A) "In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality."

Step-by-step explanation:

I say this because that's essentially the first step when solving both an equation and inequality.

(In case you were wondering, the next step would be to divide -3 on both sides, in order to get x by its self.)

Hope this helps :)

Marco Antonio tuvo antojo de comer pizza la noche de ayer, pidiendo una big hut de 40 rebanadas de las cuales sobraron solo 22 su hermano se decide a comer 15 rebanadas. Las operaciones de fracciones que representan las rebanadas que quedaron al final son:

Answers

Answer:

i dont understade

Step-by-step explanation:

is there an english version i can help then

The measure of angle G in degrees is.....

Answers

Answer:

64

Step-by-step explanation:

how to find the circumference of a circle with a 8.15 radius​

Answers

Step-by-step explanation:

r = 8.15

[tex]c = 51.21[/tex]

13.
Write the equation of a line that is perpendicular to the given line and that passes through the given point.

2x + 9y = –30; (–8, 0)

A. y = 2/9x – 8

B. y = 9/2x + 36

C. y = -9/2x + 36

D. y = 2/9x + 36

Answers

Answer:

B. y = 9/2x + 36

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line perpendicular to  2 x +9 y = − 30 .

y = 9 /2 x + 36                        PERPENDICULAR

...................................................................................................................................................

Find the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line parallel to  2 x + 9 y = − 30 .

y =− 2 /9 x − 16 /9                     PARALLEL

I need help on this, so what can I do, I also need an explanation

Answers

Answer:

So ra too of cows to horses

Now ratios are basically separated by “:”

Always follow the order when given

In this case it’s cow to horses

We have 5 cows and 8 horses

So

5:8

please help i'll mark brainliest​

Answers

Answer:

its b

Step-by-step explanation:

what number should come next ?

2,2,5,13,28 ........

do not predict numbers like 0 or 1000000

Answers

Answer: The number that comes next is 52

Step-by-step explanation:

2 + (1^2 - 1 ) = 2

2 +( 2^2 - 1 ) = 5

5 + ( 3^2 - 1) = 28

28 + (5^2 - 1) = 52

Thus the next number would be 52

Hope this helps :D

Answer:

The number that comes next is 52

Step-by-step explanation:

Use the given vertices to graph AXY Z and its image after a dilation centered at the origin with scale factor k = 3.
X(6,-1), Y(-2,-4), Z(1, 2)

Answers

Answer:

X(6,-1) -> (18,-3) , Y(-2,-4) -> (-6,-12) , Z(1,2) -> (3,6)

Step-by-step explanation:

Please help me! I’ve been trying to do this for so long

Answers

Answer: 200cm2

Step-by-step explanation:

Area for triangle. (Base x Height) divided by 2.

20x20=400. 400 divided by 2 = 200.

Your Welcome :)

Eduardo is in 8th grade and gets an allowance of $10 every week from his parents. He has saved up $110 so far in a savings account. He wants to buy some new clothes since his current wardrobe is getting worn out. He sets a budget of $250 for himself.

a: How much more money does Eduardo need before he can go shopping?

b: How many months will it take Eduardo to save this much money?

c: What trade offs might Eduardo need to make if he wants to buy the clothes in exactly 3.5 months?

Answers

Answer:

He has. saved up $110 so far in a savings account. He wants to buy some new clothes since his current wardrobe is getting worn out.

Step-by-step explanation:

a. Eduardo needs $140 more before he can go shopping.

b. 3.5 months will it take Eduardo to save this much money.

c. Eduardo will need to make thoughtful decisions about how he manages his money and balances his spending with his savings goal.

a. Here, we have to find out how much more money Eduardo needs before he can go shopping, we need to calculate the difference between his budget and the amount he has saved:

Remaining money needed = Budget - Saved amount

Remaining money needed = $250 - $110

Remaining money needed = $140

So, Eduardo needs $140 more before he can go shopping.

b. To determine how many months it will take Eduardo to save $140, we can divide the remaining amount by his weekly allowance:

Number of weeks to save $140 = Remaining money needed / Weekly allowance

Number of weeks to save $140 = $140 / $10

Number of weeks to save $140 = 14 weeks

Since there are approximately 4 weeks in a month, we can convert weeks to months:

Number of months = Number of weeks / 4

Number of months = 14 weeks / 4

Number of months = 3.5 months

c. If Eduardo wants to buy the clothes in exactly 3.5 months, he will need to consider some trade-offs to meet his savings goal on time:

Cutting Expenses: Eduardo might need to cut down on unnecessary expenses, like snacks or entertainment, to save more money each week.

Additional Income: He could explore opportunities to earn extra money, such as doing chores or odd jobs for neighbors, to supplement his allowance.

Delayed Purchases: Eduardo could delay spending money on non-essential items until he reaches his savings goal. This might mean postponing purchases that can wait.

Adjusting Budget: Eduardo could reconsider his budget to see if there are any areas where he can reduce spending further to meet his goal faster.

Savings Prioritization: Eduardo could prioritize his savings over other purchases and activities for the next 3.5 months.

Ultimately, Eduardo will need to make thoughtful decisions about how he manages his money and balances his spending with his savings goal.

Learn more about money at;

brainly.com/question/329739

#SPJ3


Please help me with this question

Answers

Answer:

480 mg

Step-by-step explanation:

420=35x

divide both sides by 35

12=x

?=40x

?=480

x=1 lb

?=answer


Here is a picture of two squares and a circle. Use the picture to explain why
the area of this circle is more than 2 square units but less than 4 square units.

Answers

Answer: This is so because, the circle does not totally cover the area defined by the four squares and this is evident in the workings below.

The area of a square is; Area = l²

Since each circle has area, A = 1 square unit.

Therefore,

Length of Each side of each square = 1 unit

This in turn is the radius of the circle given;

The area of the circle is therefore, Area = πr²

Area = (22/7) × 1²

Area = 3.142 square units

In essence, the area of the circle is less than 4 square units.

THIS IS NOT FORM ME I FOUND THIS FORM adioabiola

Step-by-step explanation:

Find area of the triangle formed by x− and y−intercepts of the parabola y=4x^2−8x−5.

Answers

Answer:

7.5 unit square

Step-by-step explanation:

7.5 unit²

Step-by-step explanation:

Refer to attached

Find the y-intercept:

x = 0 ⇒ y = 4*0 - 8*0 - 5 = - 5

Find the x-intercepts:

y = 0 ⇒ 4x² - 8x - 5 = 0

4x² - 8x + 4 - 9 = 0

4(x - 1)² = 9

(x - 1)² = 9/4

x - 1 = 3/2 ⇒ x = 2.5

x - 1 = - 3/2 ⇒ x = - 0.5

We have vertices of the triangle at:

(- 0.5, 0), (2.5, 0) and (0, -5)

Base of the triangle is:

2.5 - (-0.5) = 3

Height of triangle:

0 - (-5) = 5

The area is:

A = 1/2bh

A = 1/2*3*5 = 7.5

Answer:

7.5 unit²

Step-by-step explanation:

find x and y intercepts

x = 0 ⇒ y = 4*0 - 8*0 - 5 = - 5

y = 0 ⇒ 4x² - 8x - 5 = 0

4x² - 8x + 4 - 9 = 0

4(x - 1)² = 9

(x - 1)² = 9/4

x - 1 = 3/2 ⇒ x = 2.5

x - 1 = - 3/2 ⇒ x = - 0.5

We have vertices of the triangle at:

(- 0.5, 0), (2.5, 0) and (0, -5)

Base of the triangle is:

2.5 - (-0.5) = 3

Height of triangle:

0 - (-5) = 5

The area is:

A = 1/2bh

A = 1/2*3*5 = 7.5

Higher Order Thinking The city acquired more land next
to the subdivision. If it decides to make each park 12.5 acres,
how many additional acres would the parks occupy?

Answers

Answer: 37.5 acre

Step-by-step explanation: First, let's find out how much acre there would be if there were 3 parks. Since we know our basic multiplication, 1.25 x 3 is 3.75.  Next, we need to find out what 12.5 x 3 is. When you multiply 12.5 x 3 you get 37.5.

THIS IS ALSO DUE TODAY PLS HELP 22.
Set up two function tables. For each table, choose three x-values from the
domain. Graph each set of points, creating two rays.
1-2x - 4 if x2
f(x) =
X<2
f(x)
14x-9 if x>2
2
107
1
0
X>2
f(x)
10LB
2.
2
3
4
10

Answers

Step-by-step explanation:

Refer to attached

Table values:

x = 0 ⇒ f(0) = -2*0 - 4 = - 4x = 1 ⇒ f(1) = -2*1 - 4 =  - 6x = 2 ⇒ f(2) = -2*2 - 4 = - 8x = 3 ⇒ f(3) = 4*3 - 9 = 3x = 4 ⇒ f(4) = 4*4 - 9 = 7

f(x) = 10 – **.
)
What are the intercepts

Answers

Answer:

()=10

Step-by-step explanation:

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