given the equation f(x)=-2x²+4x+6 find the average rate of change from x=1 and x=2​

Answers

Answer 1

Answer:

16

Step-by-step explanation:

1) Plug x=1 into equation

f(x) = -2(1)²+4(1)+6

f(x) = -2²+4+6

f(x) = 4+4+6

y = 14

(1,14)

2) Plug in x=2 into equation

f(x) = -2(2)²+4(2)+6

f(x) = -4²+8+6

f(x) = 16+8+6

y = 30

(2,30)

3) Use slope formula ([tex]\frac{y2-y1}{x2-x1}[/tex])

[tex]\frac{30-14}{2-1}[/tex]

[tex]\frac{16}{1}[/tex]

16


Related Questions

Please answer the question on the image.

Answers

Answer:

both isosceles???

Step-by-step explanation:

Answer:

They are similar.

Step-by-step explanation:

There might be other ways but

<X(Angle of x) is used for both triangle XAB and XYZ

And lines AB and YZ are parallel, From this we know that a line intersected by parallel lines it forms same angles for both parallel angles.

The similarity statement is: AAA Because angle(A=B , B=Z)

What is the definition of correspondence?

Answers

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane.

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

The definition of correspondence is the act of conforming or agreeing with someone or something else. An example of correspondence is when a person acts in the same way she appears to think.

In simple terms, it means communication, generally looking at two things and identifying stuff about them

Hope that helps. x

what is the equation of the line that passes through the point (4,0) and has a slope of 5/4?

Answers

Answer:

y=5/4x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-0=5/4(x-4)

y=5/4(x-4)

y=5/4x-20/4

y=5/4x-5

Donna buys 400 shares of stock for $23 per share and pays a 1% commission. She sells them 6 years later for $23.25 per share and pays a flat fee of $30.00. What is her total purchase cost?

Answers

Answer:

She sells them six years later for$23.25 per share, and pays a $30 flat fee. ... 1 of 4. Purchase price of 400 shares = 400*23 =9200. total purchase costStep-by-step explanation:

Mark has taken four tests so far this quarter. His grades were 88%, 95%, 80%, and 92%. What is the mean of his test scores?

Answers

88.75

88+95+80+92= 355
355 divided by 4= 88.75

Answer:

88.75%

Step-by-step explanation:

add all the terms given = 355

there are 4 terms.in this set.

355 ÷ 4 = 88.75

Ilana has 70¢ in her purse. All the coins have the same value. What could describe all the coins she has in her purse?

71 pennies
8 dimes
14 nickels
3 quarters

Answers

Answer:

14 nickels is the answer

Step-by-step explanation:

Please look for the question in the picture.

Answers

Answer:

two negitives equals a positive so C none of the above

Hope This Helps!!!

Answer:

A and B

Step-by-step explanation:

In 2000, there were 285 cell phone subscribers in the small town of Centerville. The number of subscribers increased by 65% per year after 2000. How many cell phone subscribers were in Centerville in 2020?

Answers

To determine the total number of cell phone subscribers that were in Centerville in 2020 is 5,928,227 people.

Given the following data:

Number of subscribers = 285Percentage increase = 65% Starting year = 2000Ending year = 2020

Increment rate = 165% = 1.65

To determine the total number of cell phone subscribers that were in Centerville in 2020:

First of all, we would calculate the difference in years:

[tex]Year = 2020 - 2000[/tex]

Year = 20 years

Mathematically, the growth rate of cell phone subscribers that were in Centerville in 2020 is given by the formula:

[tex]A_n = Pr^t[/tex]

Substituting the given parameters into the formula, we have;

[tex]A_{20}=285(1.65)^{20}\\\\A_{20}=285 \times 22370.67\\\\A_{20}=5,928,227.55[/tex]

Subscribers = 5,928,227 people.

Read more: https://brainly.com/question/24731714

Ivanna drove 420 miles using 18 gallons of gas. At this rate, how many gallons of gas would she need to drive 357 miles?

Answers

Answer:

15.3 GAL.

Step-by-step explanation:

Answer asap! Need help before I go to sleep.

Answers

Answer:

Step-by-step explanation:

y = (4/7)x - 1

In the equation 9.55 1.10 = 10.505, what are the factors? A. 9.55 and 10.505 C. 9.55 and 10.505 B. 1.10 and 10.505 D. 9.55 and 1.10​

Answers

Answer:

D. 9.55 and 1.10​

Step-by-step explanation:

9.55*1.10=10.505

Then the factors are 9.55 and 1.10​

This is because factors are what makes the product so 9.55 times 1.10​ is 10.505

So D. 9.55 and 1.10​ is correct

Hope this helps!


Malik needed to get his computer fixed. He took it to the repair store. The technician
at the store worked on the computer for 2.5 hours and charged him $73 for parts. The
total was $235.50. Write and solve an equation which can be used to determine x, the
cost of the labor per hour.

Answers

Answer:

2.5x+73=235.5

2.5x=162.5

x=65

ANSWER NUMBER 500 L GOOOOOOOO!!!!!!!!!!!!!!!!!

Hope This Helps!!!

The equation will be 2.5x+73=235.5 and the value of x will be 65.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Malik needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 2.5 hours and charged him $73 for parts. The total was $235.50.

The equation can be written as below:-

2.5x+73=235.5

2.5x=162.5

x=65

Therefore, the equation will be 2.5x+73=235.5 and the value of x will be 65.

To know more about an expression follow

https://brainly.com/question/26459884

#SPJ2

Is (2,1) a solution to this system of equations??
8x+7y=11
x+y=3

a) Yes
b) No​

Answers

Answer:

No

Step-by-step explanation:

In the ordered pair (2,1), 2 is the x-value and 1 is the y-value.

In the first equation, replace x with 2 and y with 1.

8x+7y

= 11

8(2)+7(1)

≟ 11

16+7

≟ 11

23

≟ 11

No, 23≠11.

Plugging (2,1) into the first equation did not result in a true statement. So, (2,1) is not a solution to the system of equations.

The first three terms of a geometric sequence are as follows.
-10, -30, -90
Find the next two terms of this sequence.
Give exact values (not decimal approximations)

Answers

Answer:

-270,810

Step-by-step explanation:

c.r.  r=-30/-10=3

[tex]a_{n} =a_{1}r^{n-1} \\a_{4}=-10(3)^{4-1}\\=-10(3)^3=-10 \times 27=-270\\a_{5}=-10 \times(3)^{5-1}\\=10 \times3^4\\=-810[/tex]

The total cost of a sketchpad and 6 pecils is $22.53. The sketch pad costs $9.99. Each. pencil costs the same amount. How much does each pencil cost

Answers

Answer:

22.53-9.99=12.54

12.54 divided by 6 = 2.09

Each pencil costs $2.09

Step-by-step explanation:

I need help I need help

Answers

you look to see how many sides are congruent as well as the angles. there are one side and one angle that are congruent.

Answer: The are of the triangle is 42 because 9=9=9 is 42 look i just want points

Step-by-step explanation:

y=5/9x+9, find the slope

Answers

the slope would be 4/9

what is x- 2 1/2 = 6 3/4

Answers

Answer:

3 2/2

Step-by-step explanation:

If 3 paintings cost $30, then how much does 1 painting cost?

Answers

Answer:

10$

Step-by-step explanation:

because 10$ + 10$ + 10$ equals 30$ so one is 30$

A total of 4.80 consisting of dimes and quarters was collected from a soft drink vending machine. If there is one more quarter than there are dimes find the number of dimes and the number of quarters.

Answers

13 dimes 14 quarters

what is the unit rate if there are 1,760 in 8 servings

Answers

Answer:

Unit rate = 220 calories

Step-by-step explanation:

In order to find the unit rate, you simply have to divide the total number of calories (1760) by the number of servings (8).

1760/8=220.

Therefore, the unit rate is 220 calories.

x+18-3x=20 help me out

Answers

the bbc lenth is 19 which i like in my mouth an deven my throayt

If f(x) = 2x2 + 3x and g(x) = x 2- 7, find (f +g)(x)

Answers

Answer:

3x²+3x-7

Step-by-step explanation:

(f+g)(x)=2x²+x²+3x-7

=3x²+3x-7

The polygons are similar. The area of one polygon is given. Find the area of the other polygon.

Answers

Answer:

108 ft²

Step-by-step explanation:

For the polygon on the left, we are given the length of one side (3 ft) and the total area (27 ft²). With this information, we can determine the length of the other side - 9 ft. I found this by dividing 27 ft² by 3 ft, giving me the final result of 9 ft.

Next, we have to find the other side of the polygon on the right so we can ultimately determine its area. It looks like there is a scale factor of 2 between the two polygons, since 3 × 2 = 6. We know that the bottom side of the left polygon is 9, so multiplying 9 by 2 should give us the bottom side of the polygon on the right. 9 × 2 = 18.

Now, we have the side lengths for the polygon on the right and can determine its area. What is 6 ft × 18 ft? Well, the answer is 107 ft², and this is the answer to the question.

Hopefully that's helpful! :)

Find the exact value of tan π/12.

Answers

[tex]\textit{Half-Angle Identities}\qquad tan\left(\cfrac{\theta}{2}\right)= \begin{cases} \pm \sqrt{\cfrac{1-cos(\theta)}{1+cos(\theta)}} \\\\ \cfrac{sin(\theta)}{1+cos(\theta)}~~\leftarrow \textit{let's use this one} \\\\ \cfrac{1-cos(\theta)}{sin(\theta)} \end{cases} \\\\\\ 2\cdot \cfrac{\pi }{12}\implies \cfrac{\pi }{6}~\hspace{10em} \cfrac{~~ \frac{\pi }{6}~~}{2}\implies \cfrac{\pi }{6}\cdot \cfrac{1}{2}\implies \cfrac{\pi }{12}[/tex]

so let's use the double of the angle in the half-angle identities, check the picture below for the cosine, sine pairs

[tex]tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{sin\left( \frac{\pi }{6} \right)}{1+cos\left( \frac{\pi }{6} \right)}\implies tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{~~ \frac{1}{2}~~}{1+\frac{\sqrt{3}}{2}}[/tex]

[tex]tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{~~ \frac{1}{2}~~}{~~\frac{2+\sqrt{3}}{2}~~}\implies tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{1}{2}\cdot \cfrac{2}{2+\sqrt{3}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{1}{2+\sqrt{3}}~\hfill[/tex]

help me plsssssssssssssssss

Answers

Answer:

D

Step-by-step explanation:

Given that the starting population is 150 wolves, let the time when there will 25 wolves left be x, then

The increase in the number of wolves due to births is given by 150(1 + 0.15)^t = 150(1.15)^t

The decrease in the number of wolves due to dirths is given by 150(1 - 0.37)^t = 150(0.63)^t.

The number of wolves at time t is given by 150(1.15)^t - 150(0.63)^t = 150((1.15)^t - (0.63)^t).

Therefore, the function that could be used to predict when there will be 25 wolves in this group  is 150((1.15)^t - (0.63)^t) = 25. (option D).

What is thermodynamics ​

Answers

Answer:

Thermodynamics is a branch of physics that deals with heat, work, and temperature, and their relation to energy, entropy, and the physical properties of matter and radiation.

x-2/5=2/3-3x-2/6
solve for x

Answers

i think the answer is 11/60

Algebra 2
K.14
Write a quadratic function with zeroes 2 and 8.

Answers

Answer:

[tex]x^{2}[/tex] - 10x + 16

Step-by-step explanation:

If the 0s are 2 and 8, then the factors are (x - 2) and (x - 8)

Multiply them together to get [tex]x^{2}[/tex] - 10x + 16

A flagpole has a 10 foot shadow. A soldier standing next to it is 6 foot tall and has a 2 foot shadow. How tall is the flagpole?

Answers

Answer:

30 feet tall flag pole

Step-by-step explanation:

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