Determine if the function f(x)=x+4 is increasing or decreasing on the interval of 2≤x≤5. Justify your answer.

Answers

Answer 1

Step-by-step explanation:

Given

The function is [tex]f(x)=x+4[/tex]

for [tex]x_2>x_1[/tex], we will check the values of [tex]f(x_1)[/tex] and [tex]f(x_2)[/tex]

Take 3 and 4

[tex]f(4)=4+4\\f(4)=8[/tex]

Similarly,

[tex]f(3)=3+4\\f(3)=7[/tex]

Thus, [tex]f(4)>f(3)[/tex]

Also, [tex]f'(x)[/tex] is 1 i.e. a constant value. So, the function is increasing linearly for the given interval.


Related Questions

please help!! i have no clue what to do and this packet is due tonight.

Answers

Answer:

[D] ∞

General Formulas and Concepts:

Calculus

Limits

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \lim_{n \to \infty} s(n)[/tex]

[tex]\displaystyle s(n) = (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]

Step 2: Evaluate

Substitute in function [Limit]:                                                                           [tex]\displaystyle \lim_{n \to \infty} (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]Multiply:                                                                                                             [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4}[/tex]Power Method:                                                                                                 [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4} = \infty[/tex]

Since the degree of the polynomial is greater in the numerator than in the denominator, the top will always increase faster than the bottom, thus getting infinitely larger.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

Find the measure of angle 7
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER

Answers

Answer:

119

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

im sure now

What is the missing value? The Volume is 5120 m^3

Answers

I think that the missing value is 16m.

I just multiplied two other numbers with 20 and 20 x 16 x 16 = 5120

I hope this was right.

Answer:

32

Step-by-step explanation:

V=[tex]\pi[/tex]r^2

5120=[tex]\pi r^{2}[/tex]x20

5120/20 = 256

[tex]\sqrt{256}[/tex]=16

16+16 ( 16x2) = 32

32in.

[Will award brainliest if correct!] It takes a painter and his friend 8 hours to paint a room. if the painter was working alone, it would take him 12 hours less than if his friend was working alone. How long does it take the painter to paint the room by himself?

Answers

Answer:

it would take him 10 hours

John writes a number sequence starting with 8. Write the next number 8, 22, 36, _______

Answers

Answer:

50

Step-by-step explanation:

from the question that we have been given, we have to find out the next number after 36.

John's next number sequence will be 50. Every number after 8 can be gotten by adding 14. So when we add 14 to 36, we get the final answer, which is the next number in the sequence.

This can be seen below:

14 + 8 = 22

14 +22 =36

14 +36 =50

therefore the next sequence would be 50

Find the value of x:

Answers

Answer:

x=6

Step-by-step explanation:

The angles are alternate exterior angles, which are equal

19x-4 = 110

Add 4 to each side

19x -4+4 = 110+4

19x = 114

Divide by 19

19x/19 = 114/19

x=6

I think x=6............

The fence of a square car park is a barbwire fixed at wooden posts. Its side measure 120 feet. What is the area of the car park?

Answers

Answer:

14,400

Step-by-step explanation:

120 x 120 = 14,400

PLSSS HELPPP I WILL GIVE BRAINLIEST



pls help ASAP


Thank you if u do help♥️

Answers

Answer:hey

Step-by-step explanation: -_-

There are 35 counters in a bag.

29 of the counters are white.

6 of the counters are yellow.

Kieren takes two of the counters at random.

Work out the probability that the two counters are the same colours

Answers

Answer:

debes hacer l regla de tres

Step-by-step explanation:

Answer:

2/35 because we don't know which counter kieren will take

Select the two values of x that are roots of this equation

Answers

Answer:

c

Step-by-step explanation:

There are two answers to the question...

Answer:

B and C

How do you find a constant rate of change?

Answers

Answer:

Rate of change is most commonly defined as "the change in y over the change in x", or "how much does y change when x is changed by 1 unit".

Step-by-step explanation:

Solve the equation.

Solve the Equation
y + 3 = –y + 9

y = 1
y = 3
y = 6
y = 9

Answers

Y=3
3+3=-3+9
6=6
So yeah I hope that helps :))

Answer:

y = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

y + 3 = -y + 9

Step 2: Solve for y

[Addition Property of Equality] Add y on both sides:                                     2y + 3 = 9[Subtraction Property of Equality] Subtract 3 on both sides:                        2y = 6[Division Property of Equality] Divide 2 on both sides:                                  y = 3

Write the equation of the line parallel to y=2x+7 and contains the points (6,-1)

Answers

Answer: y = 2x - 13

Step-by-step explanation: Start with the formula y=mx+b. Remember that the slope of the parallel line, m, is the same. Now you have y = 2x + b. You can find b, the y intercept, knowing that the line passes through the point given: -1 = (2) * 6 + b. So now we see that b = -13.

answers?
for my revision lol

Answers

Answer:

148cm²

Step-by-step explanation:

With the first frontal face of the cuboid, you have length 6 cm whilst the height remains 5 cm.

Find the area of this face and multiply the result by 2, as there are two of these faces (front and back)

6 x 5 = 30 cm²

30 x 2 = 60cm²

Do the same with the top face and bottom face, adding this with the side faces

4 x 6 = 24cm²

24 x 2 = 48cm²

4 x 5 = 20cm² x 2 = 40 cm²

40 + 48 + 60 = 148 cm²

T.S.A = 148cm²

PLEASE HELP GIVING BRAINLY!

Answers

Answer:

Opposite angles are equal, all add to 360:

10x-7=83

10x=90

X=9

Z = (360-(83*2))

Z = 97

Help on this question please?

Answers

Answer:

48 in. x 64 in. is the correct answer

48 in x 64 in
hope this helps

find the distance,(-2,3)(-8,3)

Answers

Answer:

6

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[-8 - (-2)]² + (3 - 3)²

√(-6)² + (0)²

√36

= 6

Please help I’ll give brainliest

Answers

Answer:

[tex]a) \: 421 {mm}^{2} \: = 0.000421 {m}^{2} [/tex]

[tex]b) \: 9.3 {kg}^{2} \: = 9,300,000 {g}^{2} [/tex]

[tex]c) \: 25 {kl}^{2} \: = \: 25,000,000 {g}^{2} [/tex]

[tex]d) \: 1439 {m}^{2} = 0.001439 {k m}^{2} [/tex]

Y=(2x-5)(4x+1) expand

Answers

Answer:

8x² - 18x - 5

Step-by-step explanation:

2x (4x+1) -5(4x+1)

8x²+2x -20x-5

8x²-18x -5

A vehicle covers a distance of 37.8km in 1.4 liters

Answers

Hopes this helps:

Answer: 27 km


Distance covered by the vehicle in 1 l of petrol = 37.8/1.4 (We have took 1.4 on the other side)
= 378/14 (decimal would be eliminated by decimal)
= 27 km

Answer:

sameeeeeeeee heheeeeeeeeeee

Step-by-step explanation:

27 km

2. Priscilla is drawing a map of her school that uses a scale in which 1.5 cm 1 point
on the map represents 3 ft. If the first hallway has a length of 120 ft, what
should the length of the hallway be on the map?
O
a. 40 cm
b. 60 cm
C. 30 cm
d. 45 cm

Answers

Answer:

The answer is 60cm. (b)

Step-by-step explanation:

For every 1.5cm on the map, it represents 3 ft on real-size scale.

In other words, for every 1cm on the map, it represents 3/1.5 = 2ft on real size scale.

If you want to find 120ft of real-size scale, you can use 120ft/2ft * 1cm which gives 60cm

If the simple interest on $5,000 for 9 years is $4,050, then what is the interest rate?
The rate is %?

Answers

Answer:

Total Interest Paid $432,400.00

Step-by-step explanation:

Use The Cruise Ship room price Table To Determine The Percentile Rank Of $6,962

Answers

Answer:

Step-by-step explanation:

Use the cruise ship room price table in problem 7 above to determine the percentile rank of $6,962.

Data from problem 7:

Seaquoia River Cruises offers a 7-day travel package. The prices vary based on the room class booked, as indicated in the following spreadsheet:

Use the cruise ship room price table in problem 7 above to -1

Hope this answer helps you :)

Have a great day

Mark brainliest

Jim took out a loan for $500 . The rate is 8%. How much does Jim owe in interest if he plays it back in 4 1/2 years?

What is the balance that jim owes for his loan?

Answers

Answer:

If jim pays the loan back in 4 1/2 years he will be paying $597.03

Step-by-step explanation:

As per simple interest, Jim owes $180 in interest.

Jim owes a balance of $680 for his loan.

What is a simple interest?

"By definition, simple interest is the interest amount for a particular principal amount of money at some rate of interest."

Given, the loan amount is P = $500.

The rate of interest is i = 8% = 0.08.

The duration is [tex]4\frac{1}{2}[/tex] years t = 4.5 years.

Therefore, the interest after the mentioned period

= (P × i × t)

= $(500 × 0.08 × 4.5)

= $180

Therefore, Jim owes $180 in interest if he pays it back in mentioned time period.

The balance that Jim owes for loan is

= $(500 + 180)

= $680

Learn more about simple interest here: https://brainly.com/question/23242722

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Question 6
1 pts
6)
What expression is equivalent to (x - 5)(x + 5) ?
a) x2 - 10x + 25
b) b) x2 - 25
c) x2 + 25
d) x2 + 10x - 25

Answers

Answer:

-33x o hope this helps and the rest you just do the same

Pls help duhdiudhuod

Answers

Answer:

X. y

10. $7

24. $14

38. $ 21

Which is a line intersecting plane M in one point?

Answers

Answer:

line g

Step-by-step explanation I really don't know but if i had to choose an answer i would pick line g

The line [h] is intersecting plane M at one point.

What is a plane?In mathematics, a plane is a Euclidean, two-dimensional surface that extends infinitely. A plane is the two-dimensional analogue of a point, a line and three-dimensional space.

Given is a plane [M] as shown in the image.

The line that is intersecting plane M at one point is the line [h]. They have one common point of intersection.

Therefore, the line [h] is intersecting plane M at one point.

To solve more questions on geometrical planes, visit the link below -

https://brainly.com/question/1962726

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A shop has a 3 for 2 offer on chocolate bars. The normal price of a chocolate bar is 86p. Sian gets 3 chocolate bars from the shop using this offer. How much does she spend? Give your answer in pounds. ​

Answers

Answer:

172p

Step-by-step explanation:

because of the offer for 3 chocelate for the price of 2 and because shes getting 3 she only has to pay for 2. so u do the the price of 1 (86p) times 2 (chocolate bars) and u will get 172p s your answer

The cost of three chocolate bars from the shop is 258 pounds.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, a shop has a 3 for 2 offer on chocolate bars. The normal price of a chocolate bar is 86 pounds.

Sian gets 3 chocolate bars from the shop using this offer.

Here, 86×3

= 258 pounds

Therefore, the cost of three chocolate bars from the shop is 258 pounds.

To learn more about the unitary method visit:

brainly.com/question/22056199.

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9. You have saved S2500 to spend on vacation. You spend the money at an average rate of $125 per day.
Write a linear function to model this situation

Answers

Answer: F(x)=125x+2500
Hope this helps let me know if you need me to explain

A chemist is using 354 milliliters of a solution of acid and water. If 15.1% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth. ​

Answers

Hence, 60.4 millilitres of acid are there.
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