Determine the interval (s) on which the given function is increasing

Determine The Interval (s) On Which The Given Function Is Increasing

Answers

Answer 1

Answer:

[tex]\{ x: x < 0 \} \cup \{ x: x > 1 \}[/tex]

Step-by-step explanation:

A function is increasing when its gradient is positive (so y-coordinates are increasing).

We have a graph, rather than a function given to us, so we don't need to use any calculus.

Looking at the graph, we can see that before x=0, the graph is going up (gradient is increasing).

Between x=0 and x=1, the function is decreasing.

After x=1, the function is increasing again.

We can use mathematical notation to express this.

[tex]\{ x: x < 0 \} \cup \{ x: x > 1 \}[/tex]

Or

[tex]x < 0\ \text{and}\ x > 1[/tex]

Answer 2

A function assigns the values. The interval on which the given function is increasing is (-∞,0)∩(1,∞).

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

For the given functions graph, the interval on which the given function is increasing is the interval of the function where the slope of the function is positive. Therefore, the interval of the function on which the given function is increasing is (-∞,0) and (1,∞). The interval for the given function can also be written as (-∞,0)∩(1,∞).

Hence, the interval on which the given function is increasing is (-∞,0)∩(1,∞).

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Related Questions

what is the measure of angle 7 ?

Answers

Answer:

97°

Step-by-step explanation:

Please see attached

Shara collected two different data sets and labeled them data set S and data set T. Data set S has a correlation coefficient of −0.91, and data set T has a correlation coefficient of 0.89.

Part A: Which data set has a stronger linear relationship?

Part B: How do you know this?

Select two answers, one for Part A and one for Part B.

Answers

Data set T has strong linear relationship as it is a perfect positive correlation

What is Correlation Coefficient ?

A correlation coefficient is a number between -1 and 1 that tells you the strength and direction of a relationship between variables.

In other words, it reflects how similar the measurements of two or more variables are across a dataset.

When one variable changes, the other variables change in the same direction or opposite direction.

Perfect positive correlation :When one variable changes, the other variables change in the same direction.

Perfect negative correlation :When one variable changes, the other variables change in the opposite direction.

Part A &B  : Data set T has strong linear relationship as it is a perfect positive correlation

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Find the arc length and sectors perimeter of an 85 degree arc of a circle with a finger radius of 4ft

Answers

Answer:

Arc length = 5.93 ft

Perimeter = 13.93 ft

Step-by-step explanation:

85/360*2*π*4 = arc length

5.93411946 ft

Perimeter = 4+4+5.93 = 13.93 ft

Factorise X squared add 4X

Answers

Answer:

[tex]\huge\boxed{\sf x(x + 4)}[/tex]

Step-by-step explanation:

Given expression:

x² + 4x

Take x common

x(x + 4)

[tex]\rule[225]{225}{2}[/tex]

What is the approximate circumference of the circle that has a center (3, 1) and passes through the point (3, 4)?

Answers

Step-by-step explanation:

You use the Distance Formula

d= √( x2 - x1 )^2 + ( y2 - y1 )^2

substitute

r=  √(3-3)^2 + (4-1)^2

    √0^2 + 3^2

r = √9

r = 3

Now you can use the equation for  finding the circumference

2πr

2π3

≈ 6π or 18.85

The invers of 10/4 is​

Answers

Answer:

4/10

Step-by-step explanation:

You have a biased coin, where the probability of flipping a heads is 70%. You flip once, and the coin comes up tails. What is the expected number of flips from that point (so counting that as flip #0) until the number of heads flipped in total equals the number of tails?

Answers

The expected number of flips from that point until the number of heads flipped in total equals the number of tails is 2

How to determine the number of flips?

The given parameters are:

P(Head) = 70%

The expected number of flipping a head is:

E(x) = 70% * x

The expected number of flipping a tail is:

E(x) = (1 - 70%) * x + 1

Where 1 represents the first flip

When both values are equal, we have:

70% * x = (1 - 70%) * x + 1

Evaluate

0.7x = 0.3x + 1

Evaluate the like terms

0.4x = 1

Divide both sides by 0.4

x = 2.5

Remove the decimal

x = 2

Hence, the expected number of flips from that point until the number of heads flipped in total equals the number of tails is 2

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What percentage of the large circle does the small circle take up?

Please please help

Answers

Answer:

25 percent.

Step-by-step explanation:

To begin we want to find the area of the small circle. That would be pi(r)^2 or 9pi after plugging in the 3 for the radius. We can only assume that the large circle is double the radius of the smaller circle so it would be 6. Plug 6 in and get 36pi for the area of that circle. 9pi/36pi will equal 0.25 and that will be your percentage. I hope this helped.

Does anyone know the length the height and the width of this object and also Based on the above values, the volume of the object ? pls someone help me

Answers

You would need to get a tape measure and measure

the area of Zimbabwe is 390750km write this in standard form correct to three significant figures​

Answers

Answer:

3.9075x10^5

Step-by-step explanation:

Hope this helps! ;-)

An equilateral triangle has all sides the same length and all angles the same measure.

Which is the measure of one angle of an equilateral triangle?

30°
45°
60°
90°

Answers

hey there!

Let measure of each angle be x

In triangle , we know that sum of angles is 180°

In equilateral triangle , all angles are equal

So our angles are x , x , x

=> x + x + x = 180°
=>3x= 180°
=> x = 180/3
=> x = 60°

Option 3 is correct

Hope this explanation helps you :)
Have a good day :)

What is the product of (4y - 5) (3y - 7)?

Answers

Answer

(12y-35)

(4yx3y-5x7)

Answer:

12y² - 43y + 35

Step-by-step explanation:

Multiply each term of the first binomial by each term of the second binomial. Then combine like terms.

(4y - 5)(3y - 7) =

= 4y × 3y + 4y × (-7) + (-5) × 3y + (-5) × (-7)

= 12y² - 28y - 15y + 35

= 12y² - 43y + 35

Which values of x and y would make the following expression represent a real number? (4 5i)(x yi) x = 4, y = 5 x = –4, y = 0 x = 4, y = –5 x = 0, y = 5

Answers

The product will be a real number when x = 4 and y = -5.

Which values of x and y should we use?

We have the product of complex numbers:

[tex](4 + 5i)*(x + yi)[/tex]

We want this to be a real number, then the second complex number must be the complex conjugate of the first one, so we must have:

[tex](x + yi) = (4 - 5i)[/tex]

Now, if we take the product, we get:

[tex](4 + 5i)*(4 - 5i)\\\\4*4 - 4*5i + 4*5i - (5*5)*i^2 = 16 + 25 = 41[/tex]

So we can see that the outcome is a real number.

Then we must have x = 4 and y = -5.

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Answer: C

Step-by-step explanation:

(Look at image) Need help for question 6. Tried looking into it but still failed. I couldn’t understand what the question was asking me so I need some help asap by tomorrow.

Also do not mind the other answers. Those were already answered by epic people (thanks again)

Answers

Answer:

For 4 its 6 due to having 0 INCHES for 6 days (The answer to number 6 which is what your looking for is 1 12/8 simplify that and It'd be 2 1/2)

Step-by-step explanation:

This is because adding up the total rain falls will get you to 2 1/2

Drag numbers to the table so it shows a proportional relationship between x and y.

PLEASE HELP

Answers

Answer:

4 box: 9

5 box:4.5

6 box: 27

Step-by-step explanation:

Do 3/.5= 6 so multiply the numbers by 6

1.5•6=9

4.5•6=27

Hope this helps! ;-)

For which inequality would x = 12 be a solution?

12 - x ≥ 4
x + 4 ≤ 12
12 x < 200
12 ÷ x > 12

Answers

Answer:

12x < 200

Step-by-step explanation:

12 - x ≥ 4

-x  ≥  -8

x ≤ 8

12 is not a solution to this one.

x + 4 ≤ 12

x  ≤  8.

12 is not a solution to this one.

12 x < 200

x < 200/12

x <  16 2/3

12 is a solution.

Kindly help me solve this questions

a) 3/X+2-2=1/1/2
b) 3(4-7x)/5-0.7=x-6/2

Answers

Answer:

a) x=6

b) x= 498/463

hope this helps!!

In a hostel, 120 students had provisions of food for 60 days. After 20 days, some students were added to the hostel, the provision of food finished 10 days ago earlier. How many students were added?​

Answers

Answer:

If I'm right, the answers should be 40.

help me please this is due tomorrow​

Answers

well I can say all but a and g are nets according to that explenation

My original answer was 18, 1.92, -1, -5.5 but it is wrong on the form so what did i do wrong?

Answers

1.92-1-5.5 is equal to -4.08 not 18 you don’t add the negatives you still subtract them just as if it was 2-1 it’s the same concept just looks different

please please please help me this is for my brother.​

Answers

Answer:

below

Step-by-step explanation:

it was the first thing I saw

PLEASE HELP! WILL GET BRAINLEST

Answers

Answer:

See below ~

Step-by-step explanation:

Question 12

Numbers greater than 3 : 5Total numbers : 8P (number > 3) = 5/8Multiply with 4005/8 x 4005 x 50250 times

Question 17

Part A

Possible outcomes = {HT, HH, TH, TT}

Part B

P (heads at least once) = Outcomes with at least one "H" / TotalP (heads at least once) = 3/4

What’s 5 square root 7n

Answers

Answer:

If you are asking what 5[tex]\sqrt{7n}[/tex] is without the radical, it equals to 175n.

Step-by-step explanation:

You square the whole equation first.

5^2 = 25 and [tex]\sqrt{7n}[/tex]^2 =7n

Then you multiply it together.

25 * 7n

175n

How many participants will make 45 handshakes in total

Answers

N - number of participants
n(n-1)/2=45
n^2-n-90=0
(n-10)(n+9)=0
n(1)= 10

Your answer would be 10 participants

Two players, A and B, are playing an asymmetrical game. There are n points on the game board. Each turn player A targets a pair of points and player B says whether those two points are connected or unconnected. A can target each pair only once and the game ends when all pairs have been targeted. Player B wins iff a point is connected with all other points on the very last turn, while player A wins if any point is connected with all other points on any turn but the very last one OR if no point is connected to all other points after the last turn. For what values of n does either player have a winning strategy?

Answers

The values of n does either player have a winning strategy is; Player B has a winning strategy for all n ≥ 2.

How to predict winning probability?

Let us use an example to solve this question. The game is played on the complete graph Kₙ (n ≥ 2), which consists of n vertices, each pair of vertices joined by an edge.

Now, Initially all edges are unpainted. At each turn, A chooses an edge, which B paints blue or red. Now, B will win if, after the last edge is painted, there is a vertex which is joined to all other vertices by blue edges. If that doesn't happen, then A wins.

The winning strategy of B is described by 3 rules which are;

Rule 1; Paint the last edge blue.Rule 2. Never paint an edge red if that would result in two red vertices being joined by an unpainted edge.Rule 3. Use red paint whenever permitted by Rules 1 and 2.

Thus, if n >2, the first edge will always be painted red, the second will always be painted blue.

In conclusion, when we apply that same scenario to our question it is the same result and as such Player B has a winning strategy for all n ≥ 2.

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Is kilobyte bigger than megabyte.

Answers

Answer:

no

Step-by-step explanation:

1 kilobyte = 1000 byte

1 megabyte = 1,000,000 byte

1 kilobyte = 1/1000 megabyte

Answer: no

Answer:

NO!!!! Kilobyte isn't BIGGER than Megabyte

Step-by-step explanation:

Here's the table:

1 Kilobyte = 1,024 Bytes

1 Megabyte = 1,024 Kilobytes

1 Gigabyte = 1,024 Megabytes

1 Terabyte = 1,024 Gigabytes

From the table, we can see that Megabyte is bigger than Kilobyte

how do you find surface area of a rectangular prism

Answers

Answer:

To find the surface area of a rectangular prism, measure the length, width, and height of the prism. Find the area of the top and bottom faces by multiplying the length and width of the prism. Then, calculate the area of the left and right faces by multiplying the width and height.

Which expression is equivalent to (3√x^2)^6

Answers

Step-by-step explanation:

[tex] = {(3 \sqrt{ {x}^{2} } )}^{6} [/tex]

[tex] = {(3 {x}^{ \frac{2}{2} } )}^{6} [/tex]

[tex] = {(3x)}^{6} [/tex]

[tex] = {3}^{6} {x}^{6} [/tex]

[tex] = 729 {x}^{6} [/tex]

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

[tex]\large \sf \underline{Problem:}[/tex]

Which expression is equivalent to (3√x^2)^6

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

[tex]\large \sf \underline{Answer:}[/tex]

The answer is x⁴

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

[tex]\large \sf \underline{Explanation:}[/tex]

[tex]( \sqrt[3] {x}^{2} )⁶ \: {The \: cube \: root \: of \: x² \: is \: x^(2/3)} (x^(2/3))⁶ {Now, \: simply \: multiply \: 2/3 \: by \: 6 \: to \: get \: 4.}[/tex]

x⁴

[tex]( \sqrt[3] {x}^{2} )⁶ \: is \: equivalent \: to \: x⁴[/tex]

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

The top of a monument will be a rectangular pyramid. it will take 22 m3 of bronze to make the top that is 11 m tall. a rectangular pyramid with a base side of 2 meters. what is the missing dimension of the base of the pyramid? 1 m 2 m 3 m 4 m

Answers

The missing dimension of the base is 3 meters

How to determine the missing dimension of the base?

The given parameters are:

Volume, V = 22Height, h = 11Base side, l = 2

Let the missing dimension of the base be w.

So, we have:

V = lwh/3

This gives

22 = 2 * w * 11/3

Multiply both sides by 3

66 = 2 * w * 11

Divide both sides by 22

w = 3

Hence, the missing dimension of the base is 3 meters

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A, B and C lie on a straight line.
Given that angle y = 144° and angle z =
92°, work out x.
A
x
Z
The diagram is not drawn accurately.
B
C

Answers

180-144= 36°
180-36-92= 52°
z is 52°
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