These tables represent a quadratic function with a vertex at (0,3). What is the
average rate of change for the interval from x = 7 to x = 8?
х
Interval
у
3
0
1
2
-1
-6
Average rate
of change
-1
1-2
-3
1-2
-5
1-2
-7
1-2
-9
1-2
-11
O to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
3
4
TTT
5
-13
-22
-33
6

These Tables Represent A Quadratic Function With A Vertex At (0,3). What Is Theaverage Rate Of Change

Answers

Answer 1

Answer: -15

Step-by-step explanation:

Answer 2

The average rate of change for the interval from x = 7 to x = 8 is -15. The correct option is B.

What is quadratic function?

A quadratic polynomial in mathematics is a polynomial of degree two in one or more variables. The polynomial function defined by a quadratic polynomial is known as a quadratic function.

Since the quadratic function has a vertex at (0,3), the equation for the function can be written in vertex form as:

y = a(x - 0)^2 + 3

Where "a" is a constant that determines the shape of the parabola. To find the value of "a", we can use one of the other points on the parabola. Let's use the point (1, 2):

2 = a(1 - 0)^2 + 3

Simplifying this equation, we get:

a = -1

So the equation for the quadratic function is:

y = -x^2 + 3

Now we can use this equation to find the average rate of change between x = 7 and x = 8. The value of the function at x = 7 is:

y = -7^2 + 3 = -46

The value of the function at x = 8 is:

y = -8^2 + 3 = -61

The average rate of change between x = 7 and x = 8 is:

(y2 - y1) / (x2 - x1) = (-61 - (-46)) / (8 - 7) = -15

Therefore, the average rate of change for the interval from x = 7 to x = 8 is -15.

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Related Questions

PLEASE IM BEGGING YOU please answer i’ll do anything i need in 10 minutes please

Answers

Answer:

1.                           2.

   -3, 4                      -3,  2

   -1,  2                       0,  1

   0, 1                         3,  0

   4, -3                      6,  -1

Step-by-step explanation:

The rabbit population in a forest area grows at the rate of 9% monthly. If there are 242 rabbits in September, find how many rabbits (rounded to the nearest whole number) should be expected next September. Use
y
=
242
(
2.7
)
0.09
t
y
=
242
(
2.7
)
0.09
t

Answers

Answer:

503 should be the answer

Step-by-step explanation:

Answer:

i think its 503

Step-by-step explanation:

242 multiplied by 0.09 = 21.78

21.78 multiplied by 12 = 261.36

added by 242 = 503.36

4n + 1= 25 how do I solve this and show my work?​

Answers

Answer:

n=6

Step-by-step explanation:

4n + 1= 25

Move constant to the right

4n=25-1

Calculate

4n=25-1

Then divide on both sides

Answer:

Today: Friday, 06 November 2020

Hour: 09.44 WIB (Indonesia)

_______________________________

4n + 1 = 25

4n = 25 - 1

4n = 24

n = 24/4

n = 6

kala is saving money to buy a bike that cost $125. She has $60 and will save an additional $5 each week. In how many weeks will she have enough money to buy the bike?

Answers

In exponential form it’s: 125=60(1.05)^x
So it should be around 15.043 weeks
If you have to round up to then next week then the answer is 16 weeks she will have enough money to buy the bike. I’m

ill give brainliest please help.

Answers

Answer:

A = 5

Step-by-step explanation:

BIG POINT
Describe the significance of the unit circle to Trigonometry. Make connections to solving, graphing, identities, and other key concepts included in this course. Provide at minimum of 4 connections with an explanation of the connections.
Write in paragraph please.

Answers

Answer: (compiled from google)

One radian is the measure of the central angle of a circle such that the length of the arc is equal to the radius of the circle.

A full revolution of a circle ( 360 ∘ ) equals  2 π   r a di a n s. This means that  1  radian = 180 ∘ π .  

The formula used to convert between radians and degrees is  angle in degrees = angle in radians ⋅ 180∘ π .

The radian measure of an angle is the ratio of the length of the arc to the radius of the circle  ( θ = sr ) . In other words, if  s  is the length of an arc of a circle, and  r  is the radius of the circle, then the central angle containing that arc measures radians.

Key Terms

arc: A continuous part of the circumference of a circle.

circumference: The length of a line that bounds a circle.

radian: The standard unit used to measure angles in mathematics. The measure of a central angle of a circle that intercepts an arc equal in length to the radius of that circle.

The  x – and  y -coordinates at a point on the unit circle given by an angle  

t  are defined by the functions  x = cos t  and  y = sin t .

Although the tangent function is not indicated by the unit circle, we can apply the formula  

tan  t = sin  t  cos  t  to find the tangent of any angle identified.

Using the unit circle, we are able to apply trigonometric functions to any angle, including those greater than  90 ∘ .

The unit circle demonstrates the periodicity of trigonometric functions by showing that they result in a repeated set of values at regular intervals.

Key Terms

periodicity: The quality of a function with a repeated set of values at regular intervals.

unit circle: A circle centered at the origin with radius 1.

quadrants: The four quarters of a coordinate plane, formed by the  x – and y -axes.

If this doesn't help I appologize

9.81 rounded to the nearest 10th is what?

Answers

Answer:

9.80

Step-by-step explanation:

Example of a balance point

Answers

a home's loss of heat is equal to heat created in the home or when both sides of a seesaw are at an equal level.

How do you write 3.684 × 103 in standard form?

Answers

The answer is 379.452

Bus X travels 224 miles in 4 hours. Write the equation of the line that describes the relationship between distance y and time x.

Answers

Answer:

The answer is 56

Step-by-step explanation:

The equation is Y=56x+4 I think

The equation of the line that describes the relationship between distance y and time x from the given graph is y=56x.

Given that, bus X travels 224 miles in 4 hours.

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The coordinate points of a line from the given graph are (4, 224) and (1, 56).

Here, slope (m) = (56-224)/(1-4)

= -168/(-3)

= 168/3

= 56

Put m=56 and (x, y)=(4, 224) in y=mx+c, we get

224=56(4)+c

⇒ c=0

Substitute m=56 and c=0 in y=mx+c, we get

y=56x+0

⇒ y=56x

Therefore, the equation of the line that describes the relationship between distance y and time x from the given graph is y=56x.

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If 6 x 7 = 26 +0, find the number that belongs in the box.
211

Answers

Answer: 185 sorry if wrong

Help me please pleasessssss

Answers

0.2 because 0.02 times 10 makes it 0.2

In a random sample of 100 voters, 48 said they planned on voting for the Republican presidential candidate. On election day, 51% of voters actually voted for the Republican presidential candidate. (a) Identify the value of the sample proportion.

Answers

Answer: 0.48 .

Step-by-step explanation:

The sample proportion is a ratio of number of successes in a sample to the sample size.

Let p be the proportion of voters actually voted for the Republican presidential candidate.

Given:   In a random sample of 100 voters, 48 said they planned on voting for the Republican presidential candidate.

Sample proportion: [tex]\hat{p}=\dfrac{48}{100}=0.48[/tex]

Hence, the sample proportion is 0.48 .

What could be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each other?

Answers

Answer:

C. PR and SQ have the same midpoing

Step-by-step explanation:

The theorems that could be shown hat the diagonals of parallelogram PQRS bisect each other are explained below.

Let the point where the diagonals intersect be called Point T.

Now, looking at the parallelogram, we can say that;

∠QPT = ∠SRT (This is because the alternate angles between 2 parallel lines are always equal)

Secondly, ∠PQT= ∠RST.

This is This is because the alternate angles between 2 parallel lines are always equal.

Thirdly; ∠PTQ=∠RTS

This is because they are vertically opposite angles.

Now, from AAA congruence theorem, we can say that;

△PTQ is congruent to △RTS.

Thus, we can say that;

PT = RT and QT = ST

This proves that they bisect each other.

Read more at; https://brainly.com/question/15140032

hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp

Answers

Answer:

B is the answer

Step-by-step explanation:

hey luv the answer is (d.) :)

9. Which expression is equivalent to 14(8x−36)+2x? (1 point)

a. 10x - 36

b. 30x

c. 4x - 9

d. 4x - 36

Answers

Answer:

Step-by-step explanation:

14(8x-36)+2x

112x -504 +2x

114x-504

Use the variable, n, to write an expression for seven less than a number.

Answers

Answer:

n-7 would be the equation

Answer:

n - 7

Step-by-step explanation:

n - 7

The number of bacteria in a culture is increasing according to the law of exponential growth. The initial population is 240 bacteria, and the population after 12 hours is double the population after 1 hour. How many bacteria will there be after 3 hours

Answers

Answer:

240

Step-by-step explanation:

According to law of exponential growth,

[tex]y=y_0e^{kt}[/tex]

Here, [tex]y_0[/tex] denotes the initial amount and k is the rate constant of the equation.

Now, the initial population is 240 bacteria.

Put [tex]y_0=240[/tex]

So,

[tex]y=240e^{kt}[/tex]

The population after 12 hours is double the population after 1 hour.

[tex]y(12)=2y(1)[/tex]

[tex]240e^{12k}=240e^{k} \\e^{12k}=e^{k} \\e^{12k-k}=1\\e^{11k}=1\\11k=log 1=0\\k=0[/tex]

(Formulae used: [tex]\frac{e^x}{e^y}=e^{x-y}\,,\,log 1=0[/tex])

So,

[tex]y=240e^{0}=240\\y=240[/tex]

Therefore,

Number of bacteria after 3 hours = 240

A certain stock sold for $43.50 on Monday. The sale price dropped $2.75 on Tuesday. The price dropped $4.50 on Wednesday. How much did each share sell for at the beginning of the day on Thursday? Explain your answer.

Answers

Answer:

36.20

Step-by-step explanation:

add 2.75 and 4.5 which gets you to 7.25 and subtract your 7..25 from 43.50

(Not sure if this is what you were looking for)

Write a mathematical sentence that expresses the information given below. Use s as your variable name If necessary : type to mean If you need to show multiplication , do not use the letter x. Use the asterisk (*) symbol instead, or simplify your answer. Mr. Jones's algebra class has too many students in it. If the class were split exactly in equal parts to form 3 new classes, each class would have no more than 14 students in it.

Answers

Answer:

s*3=42

Step-by-step explanation:

s= no. of students

* is used for multiplication sign

s*3=42

s=42/3

s=14

Answer:

ˢ⁄₃ ≤ 14

s ≤ 42

Step-by-step explanation:

This question requires you to apply your algebra knowledge to create an equation (in this case, an inequality) using variables and information. We need to translate the phrases into basic operations.

S would represent the number of students in Mr. Jones's Algebra class.

The info says "if the class were split exactly in equal parts to form 3 new classes." The words 'split' and 'in equal parts' indicate that we need to use the division operator (or a fraction). The "3 new classes" tell us by how many to divide by (the denominator of the fraction). So we write

ˢ⁄₃

The next part forms the inequation. "each class would have no more than 14 students in it"

The "no more than 14" tells us each class can either be 14 or less, so we should use the lesser or equal to sign (≤). So now we join the parts together:

ˢ⁄₃ ≤ 14

Since we now have an equation/inequation and have enough information, we can solve for s (the number of students in Mr. Jones's algebra class).

s ≤ 42

What we have done here is translate the given information into a mathematical sentence

What's the range in the question below. Please answer one of the answer choices.

Answers

Answer:

yo I'm doing the same thing

What is the coefficient of 4x^2 ?

Answers

It has a coefficient of 4 :)

solve for x and y
x +2y= -6
-5x+4y=2

Answers

Answer:

y=1/2+5x/4

x=−6−2y

Step-by-step explanation:

i hope this helped :)

Please help me I need help?!!!

Answers

Answer:

B

Step-by-step explanation:

Are these lines parallel?
y = (-1/2)x + 1
y = (1/2)x - 5

Answers

no

Step-by-step explanation:

Find the value of x. Then find the measure of each labeled angle.

Answers

Answer:

1. 70

2. 30

Step-by-step explanation:

ok, so we first know that x+(x-40)+90+90=360, so if we simplfy, we will get x+x+40=180, and 2x=140, so x is 70. 70-40 is 30.

GEOMETRY PROBLEMS PLEASE HELP ME

Answers

Answer:

12) The measure of PQR is 36 since both angles MQP (25) and PQR should add up to MQR (61)

13) The graph shows that both angles are congruent so that means:

2x+8= x+22

2x= x+14

x=14

14) angle ADB and angle BDC since it shows that both angles sum up to 90 degrees (also known as complementary angles)

15) Angles ADE and angle FDE are supplementary because they both add up to 180 degrees (supplementary angles)

16) Angles ADC and FDE are vertical because they are opposite of each other

17) Angles ADE and FDE are also linear pairs because both of them are adjacent (they both have a common side as well as a common vertex)

Hope this helps! ;)

100 PTS!!!! Enter numbers into the table so that the paired values are in a proportional relationship.
x 1 2 3 [_} 5



Y [__} 10 15 20 25

Answers

Answer:

Answer is

1,2,3,4,5

5,10,15,20,25

just did the k12 test

Answer:

1,2,3,4,5

5,10,15,20,25

Step-by-step explanation:

What is the polynomial of least degree with the given zeroes O with a
multiplicity of 3, -1 with a multiplicity of 2, i, and -i?

Answers

Answer:

the answer is by making this question make sense and less confusing

Step-by-step explanation:

I need a girl and yes I understand I’m on the wrong website please don’t report smh

Answers

Answer:

lol, what for?

Step-by-step explanation:

Answer:

So the answer would be B.

Step-by-step explanation:

This is not the right site like you said also no one knows your age or what you look like so good luck buddy.

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