which function is increasing on the interval (-∞, ∞)

Which Function Is Increasing On The Interval (-, )

Answers

Answer 1

Differentiating each function, we have for all x, unless otherwise indicated,

[tex]h(x) = 2^x - 1 \implies h'(x) = \ln(2) \, 2^x > 0[/tex]

[tex]g(x) = -4 (2^x) \implies g'(x) = -4 \ln(2) \, 2^x < 0[/tex]

[tex]f(x) = -3x+7 \implies f'(x) = -3 < 0[/tex]

[tex]j(x) = x^2 + 8x + 1 \implies j'(x) = 2x + 8 > 0 \text{ only when } x > -4[/tex]

and only h(x) has a strictly positive derivative. (A)


Related Questions

You have been given data about gas prices in 15 states.

2018 Gas Price Data

Max: $2.42

Min: $2.03

Mean: $2.098

Median: $2.06

Mode: $2.04

Variance: 0.0121

Standard Deviation: $0.1098

What does the range, standard deviation, and variance say about gas prices in 2018?

Answers

The range, standard deviation, and variance say about gas prices in 2018 discussed below

What is standard deviation and variance?

Variance is the average squared deviations from the mean, while standard deviation is the square root of this number.

As the variance in 2018 is 0.0121.

A model with low variance means sampled data is close to where the model predicted it would be.

As the standard deviation in 2018 is 0.1098.

Low standard deviation means data are clustered around the mean

A small range means low variability in a distribution.

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Solve for X

1.1x + 1.4x = 350

Answers

Answer:

X= 140

Step-by-step explanation:

I hope this helps. =D

Answer:

x=140

Step-by-step explanation:

1.1x+1.4x=350  1. combine like terms which 1.1x+1.4x

2.5x=350        2. /2.5 on both sides

x=140

40
A box contains
crayons.
Of these, 7 are red. 4 are blue. 8 are
green, and the rest are yellow. If a
crayon is chosen at random, not
replaced, then another is chosen.
what is the probability that
both crayons are yellow?

Answers

There is a 21/40 chance a yellow crayon will be chosen or 0.525

Answer:

51%

Step-by-step explanation:

What is the time in 24 hour clock for 03:50 pm?
a.0350 hrs
b.1350 hrs
c.1550 hrs
d.1650 hrs​

Answers

Answer:

Option C

Step-by-step explanation:

Any evening time on a 24 hour clock will be that hour add 12 :

3:50 pm =

3:50 + 12:00 = 15:50

Option C must be the answer

Hope this helped and brainliest please

Answer:

c.1550 hrs

Step-by-step explanation:

It Is military time to it stays going for 12:00 to 13:00 14:00 15:00 and so on

Hope This Helped

Mickey drew a scale drawing of the room in his junior high building using the scale 1 centimeter (cm) - 1.5 meters (m). the office in his scale drawing measured 2.6 cm * 3.2 cm. what
are the actual dimensions of the office?

2.6 m x 3.2 m

1.7 m x 2.1 m

3.9 m x 4.8 m

4.1 m x 47 m

Answers

Answer:

3.9m x 4.8m

Step-by-step explanation:

1 cm = 1.5m

→ Multiply both sides by 2.6

2.6 cm = 3.9m

→ Multiply from the original statement, both sides by 3.2

3.2 cm = 4.8 m

→ Combine them

3.9m x 4.8m

Which of these is a correct expansion of (3x − 1)(4x² + 5)?

OA. 3x 4x2 + 3x 5+1 4x² +1.5

OB. 3x. 4x² + 3x • 5+ (−1) • 4x² + (−1) • 5

OC. 3x 4x² + (-1). 4x² + 4x².5+ (-1).5

Answers

The correct expansion is B. 3x. 4x^2 + 3x•5 + (-1) • 4x^2+ (-1) • 5

Which of the following is a factor of both f(x)=x^2-4x-45 and g(x)=x^2-25

Answers

Answer:

-5

Step-by-step explanation:

x² - 4x - 45 = 0

(x - 9)(x + 5) = 0

x = 9 or -5

x² - 25 = 0

(x + 5)(x - 5) = 0

x = 5 or -5

-5 is a common factor between both of them

A drawer contains 5 white shirts, 3 yellow shirts, and 4 black shirts. a shirt is randomly selected from the drawer and set aside. then another shirt is randomly selected from the drawer. what is the probability that the first shirt is yellow and the second shirt is black?

Answers

[tex]|\Omega|=12\cdot11=132\\|A|=3\cdot4=12\\\\P(A)=\dfrac{12}{132}=\dfrac{1}{11}\approx9.1\%[/tex]


Find the area of AAOB
9√3 un
3√3 um
4.5/3 2

Answers

The area of the triangle AOB is 9√3 square units

How to determine the area of AOB?

The triangle AOB is an equilateral triangle with the following parameters:

Side length, x = 6

Angle, y = 60

The area of the triangle is then calculated using:

Area = 0.5 * x^2 * sin(y)

So, we have:

Area = 0.5 * 6^2 * sin(60)

Evaluate

Area = 18 * 0.5√3

Evaluate the product

Area = 9√3

Hence, the area of the triangle AOB is 9√3 square units

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WILL GIVE 100 POINTS PLS HELP RN EVEN IF ITS JUST A FEW

In order to determine the best fit undergraduate program, a high school senior researches the majors offered at the universities he is considering for admissions. The internet search reports that Arizona State University lists nine of their most popular majors and the percent of student population enrolled in the programs.


Popular Majors Percent of Student Body
Biology 8%
Business Marketing 20%
Communications/Journali 6%
Education 5%
Engineering 7%
Interdisciplinary Studies 6%
Psychology 6%
Social Sciences 10%
Visual and Performing Arts 8%

The university’s enrollment is expected to reach at least 20,000 students for the fall semester.
1. The minimum number of students who are expected to be working towards a Social Sciences degree is ???

2. The university requires that any student who is studying Visual and Performing Arts or Communications Journalism must perform in one of the student productions before graduation. At least ??? of the 20,000 students will be performing in the university’s student productions before graduation.

3.
In the fall semester, ???% of the student population will be enrolled in a degree program not listed as one of the university’s most popular.
The most popular degree offered at Arizona State University is ???

4. The most popular degree offered at Arizona State University is ???

5. For the fall semester, the university should expect that ??? students will enroll in one of the two most popular degree programs.

Answers

1. 20,000×10%=2,000

2. 20,000×14%=2,800

3. 20,000×5%=1,000

4. Business Marketing

5. 20,000×30%=6,000

A major river flowing out of the Himalayas

Answers

Answer:

The Ganges

Step-by-step explanation:

Answer:

Ganga

Step-by-step explanation:

Ganga is the holy river of IndiaIt has risen from Himalayas.It flows throughout the Ind and falls at Sundarban inside Bay of Bangal

NEED HELP ASAP, PLEASE ANSWER THIS​

Answers

Answer:

Given units of measures of volume:

mm³ = millimeters cubedcm³ = centimeters cubeddm³ = decimeters cubed ⇒ 1 dm³ = 1 literm³ = meters cubed ⇒ 1 m³ = 1000 liters

Units of measure:

mm < cm < dm < m1000 mm = 100 cm = 10 dm = 1 m

1. Water in a rectangular pool →

2. an ice cube before it melts → cm³

3. a dice → mm³

4. a blackboard eraser → cm³

5. oil in a rectangular box → dm³

To convert liters to cubic meters, divide by 1000:

⇒ 6700 L³ = 67000 L = 6700 ÷ 1000 = 6.7 m³

To convert liters to cubic centimeters, multiply by 1000:

⇒ 28 L³ = 28 L = 28 × 1000 = 28,000 cm³

2. Identify the missing factors:


d) 20 = (4) (?)


e) -14x = (7) (?)


f) x3 =x2 (?)

Answers

Answer:

d) 20 = (4) (5)

e)-14x = (7) (0) = undefined

f) Every Real numbers are solutions, here.

Step-by-step explanation:

2) Identify the missing factors:-

d) 20 = 4(?)

Solved:

Let us assume that *?* = x here.

20 = 4x20/4 = x5 = xx =5

e)-14x = (7) (?)

Assume *?* as x

-14x = 7x−14x−7x=7x−7x−21x=0x = 0/-21 = undefined

f) x^3=x^2(?)

Assume ? as x

x³=x²(x)x³−x³=x^3−x^30=0Real numbers are solutions.

What is .63 as a fraction

Answers

63/100 is the answer

Three times the sum of a number and 3 is 3 less than the number times 5. Find the
number.

Answers

Answer:

3 * (x + 3) = x * 5 - 3

help me pleaseeeeeeeee

Answers

[tex]\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ 2^3~~ = ~~8\implies \log_2(8)~~ = ~~3[/tex]

Quadrilateral abcd has the vertices a(-6,4) , b(-4,5) , c(-3,3) , d(-5,1) . determine if quadrilateral abcd is a rhombus

Answers

Answer:

No

Step-by-step explanation:

The defining property of a rhombus is that it has equal side lengths.

=============================================================

Finding all side lengths :

AB

⇒ √(-4 + 6)² + (5 - 4)²

⇒ √2² + 1²

√5 units

BC

⇒ √(-3 + 4)² + (3 - 5)²

⇒ √1² + (-2)²

√5 units

CD

⇒ √(-5 + 3)² + (1 - 3)²

⇒ √(-2)² + (-2)²

√8 units

DA

⇒ √(-6 + 5)² + (4 - 1)²

⇒ √(-1)² + 3²

√10 units

As all side lengths of the quadrilateral are not equal, ABCD is not a rhombus.

Consider the graph of the function f(x)=(x−2)12 below. Which statements are true about the function f(x) ? Choose all that are correct. A The minimum value of f(x) occurs at the point x=0 . B The function does not reach a maximum value. C The function is increasing for all values of x larger than 2. D For some values of x , f(x)<0 . E The function is decreasing for all values of x smaller than 2.

Answers

The correct statements regarding the function in the graph are given as follows:

B. The function does not reach a maximum value.

C The function is increasing for all values of x larger than 2.

What are the correct statements regarding the function?

The function is defined for values of x or 2 and greater, and the function is increasing until infinity(hence it does not reach a maximum value) for all these values, hence statements B and C are correct.

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Need help checking my work for Trigonometry. Will mark brainist!

Answers

Answer:

1.  0.9925  (4 d.p.)

2.  17°

3.  67°

Step-by-step explanation:

Question 2

⇒ sin 83° = 0.9925461516...

⇒ sin 83° = 0.9925 (4 d.p.)

Question 3

[tex]\sf \implies \sin X=0.2923[/tex]

[tex]\sf \implies X=\sin^{-1}(0.2923)[/tex]

[tex]\implies \sf X=16.99570395...^{\circ}[/tex]

[tex]\implies \sf X=17^{\circ}\:\:(nearest\:degree)[/tex]

Question 4

Sine Ratio

[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)

From inspection of the triangle:

[tex]\theta[/tex] = WO = OS = 24H = OW = 26

Substitute the values into the formula and solve for W:

[tex]\implies \sf \sin(W)=\dfrac{24}{26}[/tex]

[tex]\implies \sf W= \sin^{-1}\left(\dfrac{24}{26}\right)[/tex]

[tex]\implies \sf W=67.38013505...^{\circ}[/tex]

[tex]\implies \sf W=67^{\circ}\:\:(nearest\:degree)[/tex]            

A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 22.1 pounds. a sample of seven infants is randomly selected and their weights at birth are recorded as 21.1, 25.1, 26.1, 27.1, 24.1, 31.1, and 31.1 pounds. if α = 0.010, what is the critical value? the population standard deviation is unknown.

Answers

The critical value at the 0.010 significance level with 6 degrees of freedom are ±3.7074

How to determine the critical value?

The dataset is given as:

21.1, 25.1, 26.1, 27.1, 24.1, 31.1, and 31.1

The sample mean is:

[tex]\bar x = 22.1[/tex]

The significance level is

α = 0.010

Start by calculating the degrees of freedom using:

df = n - 1

Where n represents the sample size (n = 7)

So, we have:

df = 7 - 1

df = 6

Using the table for t critical values for a two-tailed test, we have:

Critical value = ±3.7074

Hence, the critical value at the 0.010 significance level with 6 degrees of freedom are ±3.7074

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Please someone help me with this

Answers

Tan (37)= x/1000
0.75355=x/1000
X=753.55

Answer is C

Answer:
Option c

Step-by-step explanation:

Since tangent = op/adj, in this case the tan37 would be x/1000.

Then, set it up as an algebra problem.

tan37 = x/1000

Multiply both sides by 1000, so 1000tan37=x

that simplifies to x = 753.6

Hey i have a question i need help with this it says...
How many cups would give you 2 quarts of water

if you have an awnser for this please let me know

Answers

Answer:

8 cups = 2 quarts

Step-by-step explanation:

Answer:

Eight cups will give you 2 quarts of water

DUE TODAY: PLEASE HELP

Use transformations to prove that the two figures are similar. Shape A is the original image

(Show work please, how it is similar or not)

Answers

Answer:

See below ~

Step-by-step explanation:

We need to prove that the figures are similar by applying the various kinds of transformations.

===============================================================

Question A :

⇒ Compare the side lengths of A and B

⇒ 2 : 5 (for all sides)

⇒ 1 : 2.5

⇒ Hence, Shape A has been dilated with a scale factor of 2.5 to form Shape B

=============================================================

Question B :

⇒ Compare the side lengths of A and B

⇒ A : B = 2 : 6

⇒ A : B = 1 : 3

Shape A has been dilated with a scale factor of 1/3 to form Shape B

Using f(x) = log x, what is the x-intercept of g(x) = log (x + 4)? Explain your reasoning. help please! Even these simplest questions get me stuck.

Answers

Answer:

The x-intercept is at (-3, 0).

Step-by-step explanation:

log 1 = 0, so the x intercept of y = log x is at (1, 0).

The + 4 in the parentheses moves the whole graph 4 units to the left.

Therefore the x-intercept of log(x + 4) is where x = 1-4 = -3.

3D TRIGONOMETRY PLS HELP ME HELP​

Answers

tan30= CF/50
CF= 28.8675…cm
CA^2= 50^2 +70^2
CA= 86.02325…cm
Angle CAF= tan-1(28.8675/86.02325)
= 18.6 (3 s.f.)

Can you guys help me with this math questions

Answers

Answer:

2)  $40 per shirt

3)  80/9 m = 8.9 m (nearest tenth)

Step-by-step explanation:

The first question has been answered here: https://brainly.com/question/27846862

------------------------------------------------------------------------------------------------------

Question 2

Given information:

Previous sales = 300 shirts at $20 eachFor every $1 increase in price, the number of sales diminishes by 5

Let [tex]x[/tex] = number of $1 increases

Let [tex]y[/tex] = total revenue (in dollars)

From the given information:

Price change of shirt:  [tex](20 + x)[/tex]Number of sales change:  [tex](300 - 5x)[/tex]

Therefore, we can create a quadratic equation with the given information:

[tex]\implies y = (20+x)(300-5x)[/tex]

As we need to find the maximum amount of revenue, we need to find the vertex of [tex]y[/tex].  As the equation is already factored, the quickest way to do this is to the find the mid-point of the zeros (since a quadratic curve is symmetrical).

[tex]\begin{aligned}y & =0\\\implies (20+x)(300-5x) & =0\\\implies (20+x) & =0 \implies x=-20\\\implies (300-5x) & = 0 \implies x=60\end{aligned}[/tex]

[tex]\textsf{Midpoint}=\dfrac{-20+60}{2}=20[/tex]

Therefore, Sammy should have 20 $1 increases to maximize the revenue, so the new price will be:

[tex]\implies \$20 + 20 \times \$1 = \$40\: \sf per\:shirt[/tex]

------------------------------------------------------------------------------------------------------

Question 3

Given information:

Bridge is modeled as a parabolaWidth of bridge = 30 mMax height of bridge = 10 m high (in the middle)

As the bridge is modeled as a parabola, and we have been given the width and height, we can create a quadratic equation using the vertex form.

Vertex form:  [tex]y=a(x-h)^2+k[/tex]

where:

x is the horizontal distance of the bridgey is the height of the bridge(h, k) is the vertexa is some constant

Middle of the bridge = 30 m ÷ 2 = 15 m

Max height of the bridge = 10 m

Therefore, the vertex of the parabola is (15, 10)

[tex]\implies y=a(x-15)^2+10[/tex]

We know that when [tex]x = 0, y = 0[/tex].  Therefore, substitute these values into the equation and solve for a:

[tex]\implies 0=a(0-15)^2+10[/tex]

[tex]\implies 0=225a+10[/tex]

[tex]\implies 225a=-10[/tex]

[tex]\implies a=-\dfrac{10}{225}[/tex]

[tex]\implies a=-\dfrac{2}{45}[/tex]

Therefore, the equation of the parabola is:

[tex]\implies y=-\dfrac{2}{45}(x-15)^2+10 \quad \quad \textsf{for }0\leq x\leq 30[/tex]

The horizontal distance at 5 m right of the middle is:

[tex]\implies \dfrac{30}{2}+5=20\:\sf m[/tex]

Therefore, to find the height at this point, input [tex]x=20[/tex] into the equation and solve for y:

[tex]\implies -\dfrac{2}{45}(20-15)^2+10=\dfrac{80}{9}\:\sf m[/tex]

Therefore, the height of the bridge at 5 m to the right of the middle is:

[tex]\dfrac{80}{9}\:=8.9\: \sf m\:(nearest\:tenth)[/tex]

Solve for x:
-(x + 2.1) = -4.8 -0.9(-10x + 5) + 10x

Answers

Answer:

the answer is x=0.36. (-20x=-7.2) divided by -20 equals to x=.36

1/2x +3x = 14
steps?

Answers

Answer: x = 4

Step-by-Step Explanation:

=> 1/2x + 3x = 14
x/2 + 3x = 14 (Take 2 as LCM)
x/2 + 6x/2 = 14 (Now, shift 2 to RHS)
x + 6x = 14 * 2
x + 6x = 28
7x = 28
x = 28/7
=> x = 4

Therefore, x = 4

Answer: Heyaa! ~

Your Answer would be.. =4

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Convert the integer into a fraction:Combine the fractions:Combine the numerators:

Multiply both sides by inverse fraction 2/7:Group like terms:Simplify the fraction:Multiply the fractions:Simplify the arithmetic:

Hopefully this helps you ! ^^

Joseph and his children went into a movie theater where they sell bags of popcorn for $7.50 each and pretzels for $4.75 each. Joseph has $95 to spend and must buy no less than 16 bags of popcorn and pretzels altogether. If
x
x represents the number of bags of popcorn purchased and
y
y represents the number of pretzels purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

Step-by-step explanation:

If f(x) =
(3 + x)
(x-3)
what is f(a + 2)?

Answers

Answer:

(a^2)+4a-5

Step-by-step explanation:

(3+a+2)(a+2-3)

(a+5)(a-1)

use FOIL or box method

5a-5+(a^2)-a simplifyes to

(a^2)+4a-5

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Quadrilateral ABCD below is a parallelogram. Use the figure to select the best answer from the choices provided. If AD = 3x + 5, AB = 7x 3, and BC = 8x 10, what is the value of x? Select the best answer from the choices provided. A. 2 B. 3 C. 7 D. 8 Amazing Gadget Corporation has determined a quadratic relationship between its selling price for its newest tablet and the company's daily profit. Which of the following would be a reasonable estimate of the rate of change for the interval 300 x 400? Brainliest if Correct!! Help QUICK.... Greta is on the chairlift going up the mountain when one of her skis falls off.The ski has a mass of 5 kg and hits the snow below with a speed of 72 km/h.How high is the chairlift above the snow when the ski falls off?(Ignore air resistance.) Which of the following is NOT a skill-related fitness test?A. The alternate hand ball testB. The ruler drop testC. The skin fold testD. The stork and stand test Which of the following is the best definition of a thesis statement?A. The main point of the essayB. The words that immediately grab your reader's attentionC. The part of the essay that supports the main points Evaluate 2Tu when T =5 and u=9 What kinds ofprograms are included in system software? Factor the expressions below using the greatestcommon factor:a. 4m - 32mb. 63x2 - 35x6C. -28v - 8v - 36 What is the best approach when time is a constraint in a project? O is the center of the regular octagon below. Find its area. Round to the nearest tenthif necessary. What is the solution to the system of equations graphed below? y = x + 2 y = 3x 2 A. (0, 2) B. (2, 4) C. (4, 2) D. (0, 2) Q5/ Punctuate the following giving reasons to support your answer. (Choose FIVE only) (20 Marks) 1. faris has said to me I have done my homework 1. Faris has said to me, I have done my homework comma punctuation Will give brainliest Read the poem below and answer the question.The EagleHe clasps the crag with crooked hands;Close to the sun in lonely lands,Ringed with the azure world, he stands.The wrinkled sea beneath him crawls;He watches from his mountain walls,And like a thunderbolt he falls.Each line includes four metrical feet, creating what kind of meter?tetrameterhexametertrimeterpentameter Find the value of x in the triangle shown below.x=586620%5.8 A spinner is divided into 12 equal sectors labeled with the letters A through L The spinner is spun 80 times. How many times is it expected that a vowel will be spun? A.) approximately 20 times B.) approximately 25 times C.) approximately 36 times D.) approximately 40 times How does the walk to the well-house affect what happens next?Keller understands that she can manipulate her teacher to take a break from lessons by acting out.Kellers attitude worsens as she becomes more frustrated at her inability to make sense of what she is supposed to learn.Kellers life is transformed when she is able to make the connection between words and what they represent.Keller becomes overwhelmed by memories from the past that she associates with water. Which is not a function? Can give brainliest!! A major arc will have a measure that isO A. greater than 180OB. less than 180O C. equal to 180 Which of the following is the best example of a historical narrative? A. The women's suffrage movement's efforts to win the right to vote B. The major battles of World War I, and the number of casualties in each C. The ten greatest civil rights leaders for each major minority group D. The archeological evidence of how the Spiro Mounds were created