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

Solve for B.
15B +9C =6

Answers

Answer:b=5

Step-by-step explanation:

The value of B for the given expression is B = (2 - 3C) / 5.

What is an expression?

An expression in mathematics is a grouping of one or more numbers, variables, and arithmetic operations (such as addition, subtraction, multiplication, division, and exponentiation) that illustrates a relationship or calculation.

Parentheses, braces, and other grouping symbols that specify the sequence in which operations should be carried out are also permitted in expressions.

To solve for B, we need to isolate B on one side of the equation.

15B + 9C = 6

Subtract 9C from both sides:

15B = 6 - 9C

Divide both sides by 15:

B = (6 - 9C) / 15

Simplifying the right side gives:

B = (2 - 3C) / 5

Therefore, B = (2 - 3C) / 5.

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Jon is solving this division problem: 7,846 : 3. In what place should he start dividing?
thousands
hundreds
ones
tens

answer is ones

Answers

The answer is the ones place
I think it’s hundreds I think I don’t know though

Simplify:(4x2 - 2x) - (-5x2 - 8x)

Answers

Answer     6x+18

Step-by-step explanation:

please help! will mark brainliest.

Answers

Answer:

16

Step-by-step explanation:

Jordan has a part-time job which pays $75 a week. He has already saved $55 toward the purchase of a $400
could use to find the minimum number of weeks Jordan must work to have enough money to buy the iPhone

Answers

Answer:

5 weeks

Step-by-step explanation:

The amount of money he has to earn in order to buy the phone is: 400-55 = 345( dollars)

He gets 345 dollars in: 345÷75= 4 weeks and remains 45 dollars

So he needs to work for 1 more week to have enough money to buy the phone

So he needs to work at least 5 weeks

WORTH 50 POINTS. The graph represents the journey of a bus from the bus stop to different locations:




Part A: Use complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey. (4 points)
Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points)
Part C: Is the graph linear or non-linear? Explain your answer. (2 points)

Answers

Answer:

3

Step-by-step explanation:

-7f+6=116+3f


help me plss

Answers

Answer: f= -11

Explanation: Know ur algebra lol

subtract 6 from both sides of the equation and simplify and your answer should be f = 55 over 2

According to the telegram which of the following description of the data are true

Answers

Answer:ITS THE SECOND ONE

Step-by-step

a storage tank is 60% filled with chemical solution. The storage tank holds 1,280 liters of chemical solution. How many liters of chemical solution are needed to fill the storage tank to the​ top?

Answers

Answer:

Step-by-step explanation:

write a proportion and cross multiply to solve for x

[tex]\frac{60}{100} = \frac{x}{1280}[/tex]

100x=76,800

x=768

60% full is 768 L. If the tank can hold 1,280 Liters, you need 512 more to fill it.

Alternatively...if the tank is 60% full, we need 40% more to fill it

[tex]\frac{40}{100} =\frac{x}{1280}[/tex]

100x=51,200

x=512 L

A pair of dice is rolled. Determine the probability of a result with: i. one die showing a 4 and the other a 5?

Answers

Answer:

2/11

Reasoning, there are 36 possible (and equally likely) combinations that we can obtain from two dice. Of these 11 (1,5 2,5 3,5 4,5 5,5 6,5 5,6 5,4 5,3 5,2 5,1) would allow us to ‘know’ that “one dice (not necessarily the first) has shown a 5”. Of these 11 possibilities only two also contain a 4. So the probability is 2/11

Step-by-step explanation: have a good day

What is the third number in this sequence?

Answers

Step-by-step explanation:

x = the first number of the sequence

x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) = 519

6x + 1 + 2 + 3 + 4 + 5 = 519

6x = 504

x = 84

so, the third number is x+2 = 84 + 2 = 86

The points (0,3) and (1,12) are solutions of an exponential function. What is the equation of the exponential function?

A) h(x) = 3(4)x
B) h(x) = 4(3)x
C) h(x) = 4(1∕3)x
D) h(x) = 3(0.25)x

Answers

Answer:

A

Step-by-step explanation:

An exponential function has the form

y = a[tex](b)^{x}[/tex]

Use the given solutions to find a and b

Using (0, 3 ) , then

3 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , so

a = 3

y = 3[tex](b)^{x}[/tex]

Using (1, 12 ) , then

12 = 3[tex]b^{1}[/tex] = 3b ( divide both sides by 3 )

4 = b , then

h(x) = 3[tex](4)^{x}[/tex] → A

Solve for equation for x: 5x^2 – 10x – 6 = 0

Answers

Correct me if im wrong po

PLS SOMEONE HELP ME PLS WITH GEOMETRY

Answers

Answer:

They are congruent by SAS

Step-by-step explanation:

MQ=PN

The angles with markings also go together

The line right in the middle is the second side because of the reflexive property

A woman walks x km north, then (x+7) km east. She is now 13km from her starting point. Find x.​

Answers

So, 13 km - 7 km = 6km divide that by 2 which is 3 km. Now double check it fits the problem by inserting the x. 3 + 3 + 7 = 13. X= 3

Find the value of x ​

Answers

Answer:

i think r would be the same as q

Step-by-step explanation:

I believe it's an isosceles triangle, if there were a line going down the center,  each half should be symmetrical, so q and r are the same angle.

Answer:

32.5

Step-by-step explanation:

A triangle's angles add up to 180 degrees

(2x+15)+x+(x+35)=180

x=32.5

what is 10+10...........................

Answers

Answer:

that would be 20 lol

Step-by-step explanation:

What is ten times as great as 450?

Answers

Answer: The answer is 4,500.

Explanation: 450 x 10 = 4,500.

Ten times as great as 450 is 4500.

We need to find what is ten times as great as 450.

What is multiplication?

When we multiply two numbers, the answer is called product. The number of objects in each group is called multiplicand, and the number of such equal groups is called the multiplier.

Multiplication step:

Multiply the multiplicand by each of the numbers of the multiplier, moving from right to left. The units of the product are written below the line.The tens place of each product is added to the next product.

Now, ten times as great as 450=10×450=4500

Therefore, ten times as great as 450 is 4500.

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The width of a rectangle is 7ft less than the length. The area of the rectangle is 228 square feet. Find the length and width

Answers

Set up figure, side length x, and width x-7. Set equation up

[tex]228 = (x)(x - 7) \\ 228 = {x}^{2} - 7x \\ {x}^{2} - 7x - 228 = 0 \\ (x - 19)(x + 12) = 0 \\ x = - 12 \\ x = 19[/tex]

Since the value x, cannot be negative, x is equal to 19. Therefore the length is 19, width 12 (19-7)

Can someone help me please

Answers

Answer:

Step-by-step explanation:

(h, k) = (4, 8)

(y - k) = a(x - h)²

(y - 8) = a(x - 4)²

     y  = a(x - 4)² + 8

plug in one of the x intercepts (or any other known point on the curve)

    0 = a(2 - 4)² + 8

    0 = a(4) + 8

     a = -2

     y  = -2(x - 4)² + 8 fourth option.

Answer:

y= -(x-4)^2+8

Step-by-step explanation:

negative graph since the turning point is +ve 4..thus the equation will be (x-4)^2 the y axis is 8 units up therefore the above equation is the answer

Triangles ABC and EDC are similar.
ACE and BCD are straight lines.
Angle BAC = angle DEC
Angle CBA= angle CDE
AB = = 6 cm, BC = 2.5 cm, CD = 7.5 cm and CE = 10.5 cm.

Answers

Answer:

18cm

Step-by-step explanation:

The ratio is given by: 7.5/2.5=3

DE = 6 × 3 = 18 cm

or

DC/CB = x/AB

7.5/2.5 = x/6

3=x/6

x=6×3=18 cm

Answer is 18. You can use triangle similarity

Elsa is selling bracelets at craft shows to raise money for an animal shelter.

She is also accepting additional cash donations. She plans to give 75% of the

money from all bracelet sales and donations to the shelter. She will use the

remaining money to buy more supplies. Bracelet sales and donations from

the first craft show are represented by the expression 24n + 32, where n

represents the amount Elsa charges for each bracelet. The second craft

show sales and donations is represented by the expression 40n + 56. If Elsa

charges $4 for each bracelet, how much money will she donate to the

Answers

Answer:

$258

Step-by-step explanation:

75% = 0.75 when we divide by 100 to convert a percentage to a decimal

75% of total sales = money donated

Total sales = sales from first show + sales from second show

                  = 24n+32 + (40n+56)

                  = 64n + 88

0.75 of (64n+88) = money donated

                            = 0.75 * (64n+88)

                            = 48n + 66

substitute 4 for n, as she charges $4 for each bracelet

money donated = 48*4 + 66 = 258

candy is 5 years older than one-third Liam's age .if candy is 16,how old is Liam

Answers

Answer:

33

Step-by-step explanation:

16-5=11

11×3=33

so yeah

Answer:

18

Step-by-step explanation:

find the rate of change
input 1 2 3 4 5
output 11 13 15 17 19

Answers

Answer:

  2

Step-by-step explanation:

x-values in the table increase by 1, while y-values increase by 2. The rate of change is ...

  m = slope = rate of change = (change in y)/(change in x) = 2/1 = 2

The rate of change is 2.

Answer:2

Step-by-step explanation:

Help help help help math

Answers

Answer:

60

Step-by-step explanation:

To begin solving think of just the pants and the shirts. Each of the 3 pair of pants can be paired with one of the 5 shirts giving you. 5x3=15 combinations

Therefore to apply this type of situation to all 5 shirts 3 pairs of pants and 4 ties

(5)(3)(4)=60

An office clerk earns $120 for two 4-hour work shifts. How much will she earn
for 15 hours of work?

Answers

Answer:

$225

Step-by-step explanation:

$120 for 2 4-hour shifts, $120 in 8 hours

$15 every 1 hour

Money for 15 hours: 15 x 15 = $225

The office clerk earns $225 for 15 hour of work .

What is unitary method?

The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

According to the question

An office clerk earns $120 for two 4-hour work shifts.

i.e

In 2 * 4-hour work shifts office clerk  earns = $120

or

In 8 hour work shifts office clerk earns = $120

Now ,

By using unitary method

In 1 hour  work shifts office clerk earns = $[tex]\frac{120}{8}[/tex]

                                                                = $15

Therefore, for 15 hours of work shifts office clerk earns =  $15 * 15

                                                                                          = $225

Hence, The office clerk earns $225 for 15 hour of work .

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help with this please

Answers

Step-by-step explanation:

I cannot do this table nicely here, but it is totally simple : the first number in brackets is the input, the second number the corresponding output.

you can do this easily and faster than in here.

it is not a function, because e.g. the input values -2 and 4 have more than 1 output value assigned (in different offered pairs, sure, but the whole group of ordered pairs defines the relationship).

-2 has 6 and 8

4 has 6 and 15

to be a function, each input value can have only one associated output value.

Schedule of Cash Payments
Shakti Power Inc. was organized on February 28. Projected selling and administrative expenses for each of the first three months of operations are as follows:
March
$68,000
April
77,000
May
88,000
Depreciation, insurance, and property taxes represent $5,000 of the estimated monthly expenses. The annual insurance premium was paid on February 28, and property taxes for the year will be paid in Online file. Open the spreadsheet, perform the required analysis, and input your answers in the question below.m

Answers

dAnswer:

fffff

Step-by-step explanation:ff m

One month Chris rented 7 movies and 9 video games for a total of $71. The next month he rented 5 movies and 3 video games for a total of $31. Find the rental cost for each movie and each video game.

Answers

simultaneous equations:
7m+9v=$71
5m+3v=$31

multiply the whole of the second equation by three to get:
7m+9v=$71
15m+9v=$31
now subtract the second equation from the first to get: 8m=$40 so a movie costs $5

now substitute the movie back into:
7(5)+9v=$71
35+9v=$71
9v=$36
so a video game costs $4

what do the widths of the bars in an energy pyramid represent?

Answers

Answer:

it represents and the relative amount of energy in the trophic level.i think sorry if I am wrong

The widths of the bars in an energy pyramid represent the units of energy available within each trophic level.

What is a energy pyramid?

It is defined as the graphical representation of the movement of the energy from one living organism to another in the ecosystem.

When we think of one organism eating another, we usually think of a huge, predatory predator at the top of the food chain. While this depicts the ecological relationships between creatures, it does not depict the energy flow throughout the ecosystem.

Every bar's width indicates the units of energy available within each trophic level, while the height remains constant. The flow of energy goes from the bottom up through the layers of the energy pyramid, gradually decreasing as energy is used up by the creatures at each level.

Thus, the widths of the bars in an energy pyramid represent the units of energy available within each trophic level.

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