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

Riley is saving up to buy a new television. She needs a total of $966.42. Riley has saved $200.92 already and earns $76.55 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television

Answers

Answer:

10 weeks

Step-by-step explanation:

76.55x+200.92=966.42

76.55x=966.42-200.92

76.55x=765.5

x=765.5/76.55

10

Josie owns 21 books. She buys 6 books every week. Write the recursive sequence to describe how number books she has.

Answers

Answer:

a1=21

an=an-1+6

Step-by-step explanation:


At the restaurant, Gordon packed 8 orders with 4 items per order
in the morning. In the afternoon, he packed 6 orders with 7 items
per order.

Answers

Answer:

what is the question?

Step-by-step explanation:

find the slope
a line that passes between (-5, 8) and (2,4)

Answers

Answer:

Step-by-step explanation:

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

(4 - 8) / (2 - - 5)

-4 / 7

m = -4 / 7 = -0.57143

QUESTION 22 PLEASE HELP ME!!!!

Answers

Answer:

the answer is infinite

Step-by-step explanation:

would u like me to explain?

5-x=3
Work out the value of 3x2

Answers

Answer:

No

Step-by-step explanation:

5-X=3

X=5+3

X=8

5-8=3

What is the answer to y=-2(-3/2)-9

Answers

Answer:

-6

Step-by-step explanation:

y = -2 x -3/2 - 9

3 - 9 = -6

Hey there!

y= -2 (-3/2) - 9

-2(-3/2) = [3]

y = 3 - 9

y = -6

Therefore, your answer is: y = -6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Help help help math math

Answers

Answer:

It is an example of a nonlinear function.

Step-by-step explanation:

Use a graphing calculator or graph the points and try to make a line, as it will not work

Make x the subject of the formula
t=
[tex] \sqrt{2(x - ut) \div a}[/tex]​

Answers

[tex]t = \sqrt \frac{ {2(x - ut)} }{a} \\ = > t = \sqrt{ \frac{2x - 2ut}{a} } \\ = > {t}^{2} = \frac{2x - 2ut}{a} \\ = > a {t}^{2} = 2x - 2ut \\ = > \frac{ { - at}^{2} }{2ut} = 2x \\ = > \frac{ - at}{2u} = 2x \\ = > \frac{ - at}{2u \times 2} = x \\ = > \frac{ - at}{4u} = x[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Help help math math math

Answers

Answer:

  x = 16

Step-by-step explanation:

The two marked angles are supplementary:

  (7x -2) +(4x +6) = 180

  11x +4 = 180

  11x = 176

  x = 176/11 = 16

The value of x is 16.

_____

Additional comment

The angle on the left is 110°; the one on the right is 70°, so that answer checks.

These marked angles are called "consecutive exterior" angles. Just as "consecutive interior" angles are supplementary, so are consecutive exterior angles.

Essentially, all of the obtuse angles are congruent, as are all of the acute angles. The obtuse angles are supplementary to the acute angles.

Answer: x=1 6

Step-by-step explanation:

Find the value of x.

Answers

Answer:

x= 11°

Step-by-step explanation:

∠BAC= ∠ACD (alt. ∠s, AB//CD)

∠BAC= 33°

∠BAC +∠ABC= ∠BCE (ext. ∠s of triangle ABC)

33° +2x= 5x

5x -2x= 33°

3x= 33°

x= 33° ÷3

x= 11°

_____

Alternatively,

∠ACB= 180° -5x (adj. ∠s on a str. line)

∠BCD +∠ABC= 180° (int. ∠s, AB//CD)

∠ACB +∠ACD +2x= 180°

180° -5x +33° +2x= 180°

Minus 180° on both sides:

-5x +2x +33°= 0

5x -2x= 33°

3x= 33°

x= 11°

Henry's garden which is 1/4 of an acre is to be divided into 12 equal size areas what is the size of each area?

Answers

The size of each area is 3x

Word problems in mathematics involve arithmetic operations and algebraic equations employed to solve real-life cases.

From the given parameters.

Henry's garden is said to be 1/4 of an acre.If an acre = xThen, Henry's garden is (1/4)x

So, Henry's garden is said to be divided into 12 equal size areas.

The size of each area is;

[tex]\mathbf{= \dfrac{\dfrac{1}{4}x}{12}}[/tex]

[tex]\mathbf{= \dfrac{1}{4}(x) \times \dfrac{12}{1}}[/tex]

= 3x

Learn more about word problems in mathematics here:

https://brainly.com/question/21405634

The sum of two consecutive integers is -11. Find the number

Answers

Answer:

-5 and -6

Step-by-step explanation:

Lets do the equation: x+x+1=-11

Add: 2x+1=-11

Subtract: 2x=-12

Divide: x=-6

The smaller integer is -6

The larger integer is -5

Complete the table for this equation. y=x+6

Answers

Answer:

Step-by-step explanation:

Which of the following is a geometric sequence with a common ratio of 2?

A) 14, 28, 56, 112, ...
B) 64, 32, 16, 8, ...
C) 87, 85, 83, 81, ...
D) 14, 16, 18, 20, ...

Answers

Answer:

A

Step-by-step explanation:

Geometric sequences involve multiplication and the ratio of 2 means each number is multiplied by 2 to get the next number.

6/5 pls help as fast as possible

Answers

Answer: 6 divided by 5 is 1.2

Step-by-step explanation: I used Siri lol

Answer:

1.2 in decimal form. equivalent form-12/10. i really dont know what your asking. so i hope this is what you wanted.

Step-by-step explanation:


What is the range of the relation below?

Answers

The pictures aren’t posted
wheres the photo?? i cant help bc theres no numbers

let f(x)=3x^2-6x+5 what is the leading coefficient

Answers

I think the answer is 3

A statistics teacher has a large container of beads that she says contains 60% blue beads. A student randomly selects
50 beads. Let p = the true proportion of blue beads in the container. If the true proportion of blue beads is 0.60, which
value of ô is least likely to occur?
O 0.50
0.60
O 0.70
0.80

Answers

Answer:

0.80

Step-by-step explanation:

its the farthest away from 0.60

f(x) = 11 – 5x for f(9)

A.-46
B.-44
C.44
D.45

Answers

Answer:45

Step-by-step explanation: math solver

Answer:

the answer is not there. the answer is -34

Step-by-step explanation:

11-5(9) .        11-45

Jonah and Jesse are taking a trip. Jonah left at 7 a.m. and travel at an average of 40 miles per hour. Jesse left at 10 a.m. and travel at average of 50 mph. At what time are they at the same place at the same time? Write a system of equations to represent this situation. Then use the substitution method with that system to determine at what time they will be in the same location. How many miles away from will they be at that time?

NO LINKS! ​

Answers

Answer:

y=40(t -7); y=50(t-10)t=22; 10 p.m.y=600 miles from home

Step-by-step explanation:

a) Let t represent the clock time (hours after midnight). The distance from home will be ...

  distance = speed × time

  jonah = 40(t -7)

  jesse = 50(t -10)

  jonah = jesse . . . . . . . same distance from home at the same time

(Note: you could let y = distance traveled and use y in both equations. That would give 2 equations in 2 unknowns, instead of 3 equations in 3 unknowns.)

__

b) substituting the first two equations into the second, we get ...

  40(t -7) = 50(t -10)

  4t -28 = 5t -50 . . . . . . . divide by 10, eliminate parentheses

  22 = t

Jonah and Jesse will be at the same place at 10 p.m.

__

c) We can find the distance by substituting into either equation.

  jonah = 40(22 -7) = 40(15) = 600

They will be 600 miles from home at that time.

Please look for the question in the picture.

Answers

Answer:

C and B

Step-by-step explanation:

20%=1/5 so D+1/5D

1.2 = 120%

The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8000

Answers

What is the question?

Answer:

R(x)=2x.

Step-by-step explanation:

We get the total revenue by multiplying the revenue per unit times the numbers of units sold, so the general Revenue function is given by

R(x)=selling price per unit⋅x.

The manufacturer sells each energy drink for $2 so the Revenue function is :R(x)=2x.

7. A game is played with 2 fair number cubes. One cube has faces numbered 1 through 6. The second number cube is numbered 4 through 6, and each number is marked on two faces. If both cubes are tossed, what is the probability of rolling a 2 on the first cube and a 3 on the second cube?​

Answers

Answer:

Less than two would be one.  Since there is only one of that, it would be 1/6th or 0.6666

Step-by-step explanation:

Determine the equation of a circle with center at (8, 10) and radius 6.
1) (X + 8)2 + (y - 10)2 = 36
2) (x + 8)2 + (y + 10)2 = 36
3) (x-8)2 + (y - 10)2 = 36
4)(x - 8)2 + (y - 10)2 = 6 ​

Answers

Answer:

Step-by-step explanation:

general equation for a circle at the origin is

x² + y² = r²

if the circle center is (x₀, y₀), the formula is

(x - x₀)² + (y - y₀)² = r²

(x - 8)² + (y - 10)² = 36

estimate a 15 tip on a restaurant bill of $24.55

Answers

Answer:

39.55

Step-by-step explanation:

24.99+15=39.55

That is how you get your answer :)

Answer:

1.89

Step-by-step explanation:

.15 x 24.55=1.89

please solve this quick
9 times 11 = 0.818181...
Explain?

Answers

doesnt it equal 99?

Which of the following are possible side
lengths for a triangle?
A. 8, 5, 7
B. 10, 3, 7
C. 9,5, 15

Answers

Answer:

A  yes     B No    C  Yes

Step-by-step explanation:

The length of the third side is greater than the difference and less than the sum of the two smallest sides.

8, 5, 7    Using the 5 and 7  the third side is > (7 - 5) and < (5 + 7)

                                              the third side is  > 2  and < 12 so 8 is OK

10, 3, 7   Use the two smallest number: 3 and 7

                                               the third side is  > (7 - 3) and < (3 + 7)    

                                               the third side is > 4 and < 10   No it is 10

9, 5, 15    Use the two smallest number 9, 5

                                               the third side is > (9 - 5) and < (9 + 5)  

                                               the third side is > 4 and < 14       Yes  

Answer:

A. 8, 5 , 7

Step-by-step explanation:
the other guy who answered  gave two yes's so I chose one and A. was correct.

Solve the equation algebraically show work to support the answer
2/3x + 4 = 2

Answers

Answer:

2/3x + 4 = 2

or,3x+2+4=2

or,3x+6=2

or,3x=2-6

or,3x=-4

or,x=-4/3

x=-1.33

A speed skater completes a 500-meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds. How do their speeds compare?

Find the number of meters a speed skater and a cheetah travel in 1 second.

A speed skater travels (blank) meters per second.
A cheetah travels (blank) meters per second.

Answers

skater 500 m / 40 sec= 12.5 m/ sec

Cheetah 260/10 = 26 m/ sec= The cheetah is more than twice as fast as the skater

So number 1 is 12.5

Number 2 is 26
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