Mathematics High School

Which of these could be the graph of F(x) = log2 x?
A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

Answer 1

Answer: it’s A

Step-by-step explanation:

I just took the test

Answer 2

The graph of f(x) is shown by figure A.

We have given that the function,

[tex]f(x)=log_2x[/tex]

We have to determine the graph ofthe given function

We have to find the co-ordinate of the given finction

What is the method for finding the coordinate?

We have to put one variable value that is any real number and by using this value find the value of another variable.

[tex]y=f(x)=log_2x[/tex]

[tex]y=log_2x[/tex]

Put x=1

[tex]y=log_2(1)\\y=0[/tex]

We get the point A(1,0)

put x=2

[tex]y=log_2(2)\\y=1[/tex]

We get the point B(2,1)

Put x=4

[tex]y=log_2(4)\\y=2[/tex]

We get the point C(4,2)

So we plot this point on coordinate system so we get the graph

as shown below

Therefore the option A is correct.

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Related Questions

GIVING 11 POINTS PLEASE HELP ME

Answers

Answer:

6 packets

Step-by-step explanation:

3 x 8 = 24

24 / 4 =

3x8= 24
24 divided by 4 = 6 packets

From previous experience, the owner of an apple orchard knows that the mean weight of Gala apples is 140 grams. There has been more precipitation than usual this year. The owner believes the weights of the apples will be heavier than usual and therefore the crop will be more profitable. This will allow the owner to expand the orchard. The owner takes a random sample of 30 apples and records their mean weight. What is the consequence of a Type I error in this situation?

The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually greater than 140 grams.
The owner believes the crop will not be more profitable and does not expand the orchard when the true mean weight of the apples is actually greater than 140 grams.
The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.
The owner believes the crop will not be more profitable and does not expand the orchard when the true mean weight of the apples is actually not greater than 140 grams.

Answers

Answer:

C, The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.

Step-by-step explanation:

Using error concepts, it is found that the consequence of a Type I error in this situation in this situation is given by:

The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.

What are the hypotheses test?

At the null hypotheses, it is tested if the weights are not heavier, that is:

[tex]H_0: \mu = 140[/tex]

At the alternative hypotheses, it is tested if they are heavier, that is:

[tex]H_1: \mu > 140[/tex]

A Type I error is the rejection of a true null hypothesis, that is, concluding that the weights are heavier and more profitable when they are not. Hence the correct option is:

The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.

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can't find probability

Answers

Answer: [tex]0.0756,\ 0.7599[/tex]

Step-by-step explanation:

Given

Probability that a coin will land head is [tex]0.3[/tex] i.e. probability of success is [tex]p=0.3[/tex] So, the probability of failure is [tex]q=1-0.3=0.7[/tex]

Using Binomial distribution for [tex]n=4[/tex]

(a) Probability that the coin will lead heads exactly 3 times

[tex]\Rightarrow P(3)=^4C_3(0.3)^3(0.7)^1\\\Rightarrow P(3)=4\times 0.7\times (0.3)^3\\\Rightarrow P(3)=0.0756[/tex]

(b)Probability that the coin lands head at least once

[tex]\Rightarrow 1-P(0)\\\Rightarrow 1-^4C_0(0.3)^0(0.7)^4\\\Rightarrow 1-1\cdot(0.7)^4\\\Rightarrow 0.7599[/tex]

Plz answer: 20 points and Brainliest!!!

Match the word with the definition.

Answers

Answer:

function is #4

domain is #2

range is #3

a vertical line test is #5

practical range is#8

practical domain is#7

function notation is#6

relation is #1

Step-by-step explanation:

hope this helps:)

Solve for x. Round your answer to the nearest tenth.
6.8
x
8.1
X
type your answer...

Answers

Step-by-step explanation:

[tex] \sf ➜ {h}^{2} = {p}^{2} + {b}^{2} \\ \sf ➜ {(8.1)}^{2} = {(6.8)}^{2} + {x}^{2} \\ \sf ➜ {x}^{2} = {(8.1)}^{2} - {(6.8)}^{2} \\ \sf ➜ {x} = \sqrt{ {(8.1)}^{2} - {(6.8)}^{2} } \\ \sf ➜ x = \sqrt{65.6 - 46.2} \\ \sf ➜x = 19.4[/tex]

What is the y-intercept of the graph of x=9y-5

Answers

Answer:

(0,5/9)

Step-by-step explanation:

Which fraction has a repeating decimal as its decimal expansion? O 3/25
O 3/16
O 3/11
O 3/8

Answers

Answer:

3/11

Step-by-step explanation:

3/25 = 0.12

3/16 = 0.1875

3/8 = 0.375

3/11 = 0.27272727272727...

The only one that has a repeating decimal is 3/11.

Can someone explain me how to solve this?

Answers

Answer:

X=12

Step-by-step explanation:

since it is an isosceles triangle opposite sides are congruent which means 7x+24=13x-48 you then would need to subtract either the whole numbers or the variables from each side so add 48 on each side it equals to 7x+72=13x then subtract 7x from 13x and you get 72=6x divide both sides 6/6=x, 72/6 Therefore x=12 HOPE that helped mark me brainiest pls

Answer: x = 12

Step-by-step explanation:

There are two triangles. The two vertical lines on the legs at the top indicate that those two sides are congruent or equal to each other. The line down the middle with the right angle box shows that the two triangles share a common side. This would show the two triangles are congruent through Side/Angle/Side. This would indicate that the two sides with equations are equal to each other. That being said, you can setup the equations to equal one another to solve for x:

[tex]7x + 24 = 13x - 48[/tex]

Now, you would just solve this like a normal equation. I would subtract the 7x from both sides a well as add the 48 to both sides. This would result to: [tex]72 = 6x[/tex]

Dividing both sides by 6 would get you:

[tex]x = 12[/tex]

What is the domain of f(x) = 5- 7?
O x | x>-7)
O {x | X <-7}
0 {x|x>0}
O x | x is a real number}

Answers

Answer:

Step-by-step explanation:

The domain of f(x) = 5x - 7 is {x | x is a real number} and this can be denoted as (-∞, ∞) for all x ∈ R.

What is domain?

The domain is the set of all the input values given to a function.

Given is an expression f(x) = 5x - 7, we need to find the domain,

We know that,

The domain of any expression is set to all the real numbers, except where the expression is undefined.

Therefore, the domain is all real numbers.

Also,

The graph of the function will be a straight line without discontinuities.

Hence the domain of f(x) = 5x - 7 is {x | x is a real number} and this can be denoted as (-∞, ∞) for all x ∈ R.

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HELP TIMER!!!
what are the x- interceps , vertex, axis of symmetry, domain, range, maximum , minumum , and y interceps of this graph.

Answers

Answer:

x intercepts are (-3,0) and (5,0), axis of symmetry is x=1, and vertex is (1,16), domain is (-infinity, infinity) and range is (-infinity, 16], maximum is (1,16) and minimum is -infinity, the y intercept is (0,15)

Step-by-step explanation:

Help me for 20 points

Answers

Answer:y=0+3.2

The answer is y=0+-3.2

y=0+3.2. hope this helps

Can someone plz help me with this 1 question and work shown plz

Answers

Answer: 365 days five hours 40 minutes 45 seconds

Step-by-step explanation:

60 minutes = 1 hour, 12 hours = 720 minutes = 1 day, 360 days = 4320 days = 259200 minutes = 1 year.

Answer: 259200

A recipe for lemonade calls for 1/2 cup water to every 1/3 cup lemon juice. If you increase the recipe and use 1 1/2 cups lemon juice, how much water should you use?

Answers

Answer: 2¹/₄ cups of water

Step-by-step explanation:

The formula calls for water and lemon juice to be mixed in the ratio:

1/2 : 1/3

If the quantity of lemon juice increases to 1 1/2 which is 3/2 then you can find the quantity of water required using direct proportion:

1/2 : 1/3

x : 3/2

Cross multiply to get:

1/3 x = 3/4

x = 3/4 ÷ 1/3

x = 3/4 * 3/1

x = 9/4

x = 2¹/₄ cups of water

Cynthia was asked to subtract 0.223 from 0.54. Which of the following is the best estimate that Cynthia can make to check her answer?

A. 0.4 − 0.2
B. 0.5 − 0.2
C. 0.5 − 0.1
D. 0.6 − 0.2

Answers

Answer:

Step-by-step explanation:

0.223 rounds to 0.2 and 0.54 rounds to 0.5 so 0.5-0.2

enter the coordinates of the point on the unit circle at the given angle 180 degrees

Answers

the coordinates of the point on the unit circle at the given angle 180 degrees is (-1,0)

The coordinates of the point on the unit circle at the given angle 180 degrees is (-1, 0).

What is a unit circle?

A unit circle is just a circle that has a radius with a length of 1. A unit circle can be used to define right triangle relationships known as sine, cosine and tangent. These relationships describe how angles and sides of a right triangle relate to one another.

The given drawing is the graph of the unit circle on the X – Y Coordinate Axis.

It can be seen from the graph, that the unit circle is defined as having a Radius ( r ) = 1.

Going from Quadrant I to Quadrant IV, counter clockwise, the Coordinate points on the axis of the unit circle are:

(1, 0), (0, 1), (-1, 0), and (0, -1)

This is important to remember when we define the X and Y Coordinates around the unit circle. The Unit Circle has 360°. In the given graph, the Unit Circle is divided into 4 Quadrants that split the unit circle into 4 equal pieces. Each piece is exactly 90°.

From the diagram we can clearly say that the coordinates of the point on the unit circle at the given angle 180 degrees is (-1, 0).

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Sara has a spinner that is divided into sections with different colors. The results from 20 spins are shown in the table.
Color
Number of
Times Spun
Blue
4
Green
3
Orange
6
Grey
5
Pink
Based on these results, what is the probability that the spinner will land on pink on the next spin?
O A 2%
O B. 5%
O c. 10%
D. 20%
O E 72%

Answers

Answer:

The correct answer would be 20%.

Step-by-step explanation:

If the spinner is divided into sections with different colors that would be four divided colors so the probability of it landing on each color will be 20%. BUT THE ANSWER COULD ALSO BE 25% even though it is not listed.

Solve 5.x + 6 = 20.
The solution is x

Answers

Answer:

2.8

Step-by-step explanation:

5x = 20 - 6

5x/5 = 14/5

x = 2.8

plsss anybody help no links more files they are viruses

Answers

Answer:

1- B & C (Same answer and also I'm not that sure)

2- B: y = 8x (I'm sure of this ^^)

3- Option 3

4- 108 degrees

Answer:

1. C

2. B

3. Option 3

4. 108 degrees

Step-by-step explanation:

1. There cannot be less than 0 people or more then 25 people, but the theatre capacity can be equal to both of these numbers.

2. x is multiplied by 8 to create y, so the equation is y=8x

3. There can't be over 8 refrigerators on the truck, and you can't have a fraction of a refrigerator.

4. One line is 180 degrees. 36+36=72, 180-72= 108 degrees

!!!!________________

Answers

Answer:

Step-by-step explanation:

The answer is B as it is the only one in which the shape at the bottom remains the cross section shape for the object. For example in a sphere the cross section near the bottom wouldn't be the same as the one at the middle. The only shape that does have the same cross section all the time is the cuboid so it is the answer

!!!!!!!!!!!!!!!! It’s b

Which of the following statements shows the inverse property of addition?
O y + (-y) = 0
Oy+0=y
Oty=y
O y + y = 2y

Answers

Answer:

[tex]y + (-y) = 0[/tex]

Step-by-step explanation:

Required

Which represents addition inverse

This property illustrates the addition of a number and its inverse (i,e, negation)

So, we have:

[tex]-y + y = 0[/tex]

[tex]y + (-y) = 0[/tex]

if the radius is 3.345 what is the diameter

Answers

Answer:

6.69

Step-by-step explanation:

the radius is from the outside of the circle to the center and the diameter is completely through so you would times 3.345 by 2 to get 6.69 which is your diameter

Answer:

6.69

Step-by-step explanation:

radius is D/2

therefore, r =d/2

so therefore, 2×r=d

that is: 2×3.345 = 6.69

Suppose that to make the golf team you need to score no more than 85 on average over 5 games. If you scored 82, 91, 79, and 85 in your first 4 games what is the highest score you can shoot in your 5th game and still make the team?

Answers

Answer:

Step-by-step explanation:

(82+91+79+85+s) ÷ 5 ≤ 85

(337 + s) ÷ 5 ≤ 85

cross-multiply to get:

337 + s ≤ 85(5)

337 + x ≤ 425

x ≤ 425 - 337

x ≤ 88

Please help im stuck

Answers

Answer:

a 120

Step-by-step explanation:

i need help asap!! i would really appreciate this

A 30°-60°-90° triangle has a shorter leg with a length of 14 cm. The hypotenuse of the triangle is ___ cm.

Answers

Answer:

Step-by-step explanation:

I HAVE LIKE 2 MORE QUESTIONS, HELP ME PLZ!

Answers

Given:

Base length of triangle = 10 units

Height of triangle = [tex]\sqrt{44}[/tex] units

Length of hypotenuse of triangle = 12 units

To find:

Exact value of Cos A

Steps:

The cosine of any angle is equal to the length of the adjacent side by the length of the hypotenuse side.

So,

Cos A = [tex]\frac{adjacent}{hypotenuse}[/tex]

Cos A = [tex]\frac{10}{12}[/tex]

Cos A = 0.833

Therefore, the exact value of cos A is 0.833.

Happy to help :)

If u need any help, feel free to ask

Jane has a triangular plot of land. She only received the length of two sides of the land and the angles at which each set of lines meet. How can Jane find the length of the missing side of her land?

Answers

Answer:

i dont know

Step-by-step explanation:

i dont know

What percent is represented by the shaded area?

Answers

Answer:55%

Step-by-step explanation:

There are 20 in total with 11 shaded. Percentages are always out of 100,so 20x5=100 and you do the same with 11. So 11x5=55%.

55% this is simple math..

PLEASE HELP!!!
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the hyperbolas to their vertices.

Answers

Answer:

see file below.

Step-by-step explanation:

The matching of hyperbolas to their vertices is shown below.

What is Equation of Hyperbola?

The standard form of the equation of a hyperbola with center (h , k)

and transverse axis parallel to the x-axis is (x - h)²/a² - (y - k)²/b² = 1

1. (x + 2)²/3² - (y - 5)²/4² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 3 , b = 4 , h = -2 , k = 5

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (1 , 5) , (-5 , 5)

2. (x - 4)²/8² - (y + 2)²/9² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 8 , b = 9 , h = 4 , k = -2