Find the average rate of change of f(x)=4x^2-6 on interval [1,a]​

Answers

Answer 1

9514 1404 393

Answer:

  4a +4

Step-by-step explanation:

The average rate of change of f(x) on the interval is ...

  (f(a) -f(1))/(a -1)

  = ((4a² -6) -(4(1)² -6))/(a -1) = (4a² -4)/(a -1)

  = 4(a² -1)/(a -1) = 4(a +1) = 4a +4

The average rate of change on the interval is 4a +4.


Related Questions

I need help figuring out the input and output and I have been struggling with it so muchh!!

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Answer:

4=4

5=9

Step-by-step explanation:

Anyone know the answer?

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Answer:

12.4

Step-by-step explanation:

Help pls! I need help to finish :(
No Links!

Answers

the answer is 7.5.
7 4/8 is also 7.5

Bought rings at 5$ each and bracelets at 8$ each, he bought 19 total items and spent $131. How many rings and bracelets were bought?

Answers

Answer:

Johannes Gutenberg - Wikipediahttps://en.wikipedia.org › wiki › Johannes_Gutenberg

Johannes Gensfleisch zur Laden zum Gutenberg was a German goldsmith, inventor, printer, and publisher who introduced printing to Europe with his ...

Occupation: Engraver, ‎inventor‎, and printer‎

Born: Johannes Gensfleisch zur Laden zum G...

Died: February 3, 1468 (aged about 68); Mainz‎, ...‎

Known for: The invention of the movable-type ...

‎Early life · ‎Printing method with... · ‎Legacy · ‎References

People also ask

Step-by-step explanation:


The sum of two numbers is 7 and the difference of their squares is 105. Find the numbers. If there
In simplest form.
more than one pair, use the "or" button. Give the answer
In simplest form

Answers

Answer:

11 and -4

Step-by-step explanation:

Let the required two numbers be x and y

If the sum of two numbers is 7, then

x + y = 7 .. 1

If the difference of their squares is 105, then;

x² - y² = 105 ...2

From 1;

x = 7 -  y... 3

Substitute 3 into 2;

(7-y)² - y² = 105

Expand

49-14y+y² -y² = 105

49-14y = 105

-14y = 105 - 49

-14y = 56

y = -56/14

y = -4

Substitute y = -4 into 3

x = 7 -  y... 3

x = 7 - (-4)

x = 7+4

x = 11

Hence the numbers are 11 and -4

WHATS THE LENGTH ROUND TO THE NEAREST 10th if NEEDED

Answers

Answer: 8.6

Step-by-step explanation:

Using pythagorean theorem, c²=a²+b² you can find the distance between AB.

c²=7²+5²

c²=74

√c²=√74

c=8.6

Carl went out for breakfast.
• The price of his meal was $12.35.
• The sales tax was 7.5% of the price of the meal.
• The tip was 25% of the price of the meal and the sales tax.

To the nearest cent, how much total money did Carl pay for breakfast including the price of his meal, sales tax, and tip?

Answers

Answer: $16.60

Step-by-step explanation:

Price + Tax = 12.35+0.93

Total + tip = 13.28+3.32

total: 16.60

The total money did Carl pay for breakfast including the price of his meal, sales tax, and tip  $16.60

We have given that,

Carl went out for breakfast.

• The price of his meal was $12.35.

• The sales tax was 7.5% of the price of the meal.

• The tip was 25% of the price of the meal and the sales tax.

We have to determine the nearest cent, how much total money did Carl pay for breakfast including the price of his meal, sales tax, and tip.

What is the formula for the total money?

Total money=price + tax

Price + Tax = 12.35+0.93

Total + tip = 13.28+3.32

Total money =16.60

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Please help me I'm so bad at math and doing AFDA really doesn't help..
substitution of a,b,c in this equation

Answers

Answer:

2, 1 and -3

Step-by-step explanation:

Given the quadratic expression

x^2+2x = 3

Write in standard format

x^2+2x-3 = 0

Get the value of a, b and c

The standard form is ax^2+bx+c = 0

ax^2 = x^2

a = 1

bx = 2x

b = 2

c = -3

Substitute into the general formula

x = -b±√b²-4ac/2a

x = -2±√(2)² - 4(1)(-3)/2(1)

The correct values are the values in bold format

Drag each equation to the value that makes it true.

Answers

Answer:

5h=60 needs to go in the last one

Step-by-step explanation:

HALP!!!!!!!!!!!!!!!!!!
If a quadratic function has roots 2 and -7, what are the factors of the function?

Answers

A negative number.......

The brick fire ring measures sixteen feet across the center. What is the circumference of the fire ring to
the nearest tenth?
Plan:
Calculations:

Answers

Answer:

50.3 ft

Step-by-step explanation:

circumference = 2nr

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

radius = 16/2 = 8

2 x 22/7 x 8 = 50.3ft

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

if an area of the rectangle below is 39 square feet, sides are x-2 and x+8 find the area of x

Answers

Answer:

x  = 5.

Step-by-step explanation:

The area of a rectangle can be determined by the following formula.

A = l ⋅ w  

l  stands for length or the longer side.

w  stands for width or the shorter side.

Now, we can plug the values we are given into the equation.

A = ( x − 2 ) ⋅ ( x + 8 )

The easiest way to multiply is to follow the acronym FOIL , which stands for First Outside Inside Last, and dictates the order in which you multiply these terms.

A = x 2 + 8 x − 2 x −16 = x 2 + 6 x − 16

Now, we can plug in the given value for the area.

39 = x 2 + 6 x − 16  

Next, we simplify by moving all terms to one side and factor the equation.

0 = x 2 + 6 x − 55

Finally, we factor the equation. This means we reverse-FOIL, trying to determine the two things that we multiplied together.

0= ( x − 5 ) ⋅ ( x + 11 )

If the equation ultimately equals zero, either  ( x − 5 )  or  ( x + 11 )  or both equal zero. Therefore, we set each equal to zero to find the value of  

x .

x − 5 = 0 x = 5 x + 11 = 0

x = − 11

Since  x  is a length, we know it cannot be negative. Thus, we can conclude that it equals 5.

A rectangle with sides 11 cm and 9 cm has the same diagonal as a square.
What is the length of the side of the square.
Give your answer as a surd.​

Answers

Answer:

the length will be 9cm because a square has equal sides it not the same as the rectangle

Solve the equation for X.
X
12
4

Answers

Answer:

x=16

Step-by-step explanation:

The top of a coin has a radius of 2 cm.
What is the area of the top of the coin?
4π ​cm²
2π ​cm²
4 cm²
2 cm²

Answers

Answer:

I think is 2cm if I’m wrong plz correct me

Step-by-step explanation:

I’m guessing so no work

A golf cart priced at $5,600 was on sale for 20% off. The sales tax rate is 6%. What is the sale price of the golf cart, including tax?​

Answers

Answer:

4,748.80

Step-by-step explanation:

63/4 divided by 41/2

Answers

Answer:

63/328

Step-by-step explanation:

Mrs. Yamaguchi's class weighed the potatoes that they grew in their garden and recorded the data in a
table. Determine how many dots are above each data value in a line plot of this data.
Weights of Potatoes (in pounds)
5
8
8
2
5
1
1
3
2
2
4
1
3
1
8
4
2
1
3
3
2
4
8
The value will have
1
dots above it.
1
dots above it.
The value will have
The value will have
3
dots above it.
The value will have
2
dots above it.

Answers

Answer:

The value  

1

8

will have  

1

dots above it.

The value  

1

4

will have  

2

dots above it.

The value  

3

8

will have  

3

dots above it.

The value  

1

2

will have  

5

dots above it.

The value  

5

8

will have  

2

dots above it.

The value  

3

4

will have  

3

dots above it.

Step-by-step explanation:

I took the test

Will give brainliest for correct answer

Answers

Answer:

A function is a rule that assigns to each input exactly one output.

Step-by-step explanation:

If you have more than one of the same inputs for multiple outputs, it would create a vertical line at somepoint on your line.

Answer:

The correct answer is "a rule that assigns to each input exactly one output".

Step-by-step explanation:

In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set. Typical examples are functions from integers to integers, or from real numbers to real numbers.

5x^2y + 6x^2y^3 - 3x^3y^2=0

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:  

What is 2+2???? very hard question I know that's why I need help.

Answers

Answer:

4

Step-by-step explanation:

Answer:

yes to get this answer u need to use ur brain

take 2 and 2

then see how many are there in all so it's 4

So u should mark me as brainlist

I need help please ?!!!!

Answers

Answer:

multiplication

Step-by-step explanation:

The inverse of division is multiplication

The inverse of addition is subtraction

The inverse of multiplication is division

The inverse of subtraction is division

multiplication!!!!!!! hope this helps

Please help I have a lot of other due assignments and I don’t have Time and paper thx:)

Answers

Median: 69

First Quartile: 65.5

Third Quartile: 73

Interquartile Range: 7.5

Step-by-step explanation:

First, put all of the numbers in order.

63, 64, 67, 68, 70, 72, 74, 76.

Median

For the median, it is the center of the data set.

To find the median of this data set, add 68, and 70, then divide by 2.

The Median is 69.

First Quartile

To find the first quartile, find the range below the median (63-68).

Find the median of that range.

Add 64 & 67 together, then divide by 2.

The first quartile = 65.5

Third Quartile

Do the same as the first quartile, but do it with the range above the median (70-76).

Add 72 & 74 together, then divide by 2.

The third quartile = 73.

Interquartile Range

Now, take the first and third quartile, and subtract.

[tex]73-65.5=IR[/tex]

[tex]7.5 = IR[/tex]

The interquartile range is 7.5.

Orphia bought a coffee table for $200. The sales tax on the purchase was $19. Find the sales tax rate (in %).

Answers

Answer:

9.5%

Step-by-step explanation:

19/200=.095 or 9.5%

can someone help me on this?

Answers

Answer:

Step-by-step explanation:

WHAT IS THE AREAAAA HEELLPPPP!!!!

Answers

Answer:

D , i think.

pir^2 = 100pi

100pi/8 is about 13 pi

13 pi is about 39

Find the median of the data in the dot plot below.

Answers

Answer:

The answer is 25.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

25

Step-by-step explanation:

All the data values from least to greatest:

20, 23, 23, 25, 25, 27, 27, 27, 28

Since the data values are odd, the middle value is the median:

25

Refer to the accompanying data set and use the 30 screw lengths to construct a frequency distribution. Begin with a lower class limit of 3.470 ​in., and use a class width of 0.010 in. The screws were labeled as having a length of 3 1/2 in

Answers

Answer:

Answer:

A) Total frequency = 30

B) Yes, the distribution is consistent with the label because the frequencies are greatest when the lengths are closest to the labeled size of 1/2 inches which is 0.5 inches.

Step-by-step explanation:

Since the class limit width is 0.010 from the question, we arrive at;

Class Limits Frequency

Length(Inches)

0.470 - 0.479 3

0.480 - 0. 489 5

0.490 - 0.499 9

0.500 - 0.509 12

0.510 - 0.519 1

Following is the frequency distribution table:

How to build a frequency table?

The lower limit is given as 3.470 inches.

The upper limit is 3.500 inches.

And the width of each class is 0.010 inches.

Therefore, the intervals will be:

3.470-3.480

3.480-3.490

3.490-3.500

To know more about frequency tables problems refer:

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Find 50% of 152:
Find 25% of 152:
Find 75% of 152:

Answers

I think:
50% of 152 = 76
25% of 152 = 38
75% of 152 = 114

Sorry if im wrong

Answer:

76

38

114

Step-by-step explanation:

50% of 152

= ( 50 / 100 ) x 152

= ( 1 / 2 ) x 152

= 152 / 2

= 76

25% of 152

= ( 25 / 100 ) x 152

= ( 1 / 4 ) x 152

= 152 / 4

= 38

75% of 152

= ( 75 / 100 ) x 152

= ( 3 / 4 ) x 152

= ( 3 x 152 ) / 4

= 3 x 38

= 114

Level 5:
C. Two motorcycles start at the same point. One travels 15 km due north and stops while the other travels 32 km due west
and stops. Which value is closest to the distance between the motorcycles when they are both stopped?
A. 28.3 km
B. 47.0 km
C. 35.3 km
D. 21.9 km

Answers

The Distance between the motorcycles is 35.3 km

Pythagoras theorem shows the relationship between sides in a right angled triangle.

The distance moved north, distance moved west and the distance between the motorcycles form a right angled triangle.

distance between the motorcycles² = distance moved north² + distance moved north²

Distance between the motorcycles² = 15² + 32²

Distance between the motorcycles² = 1249

Distance between the motorcycles = 35.3 km

Hence the Distance between the motorcycles is 35.3 km

Find out more at: https://brainly.com/question/10040532

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