1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Strike441 [17]
3 years ago
11

1. y = log x

Mathematics
1 answer:
Nuetrik [128]3 years ago
6 0

Answer:

Domain {x : x  > 1}

Range {y : y ∈ R}

Vertical asymptote x = 0

x-intercept (1, 0)

End behavior consistent

Graph attached down

Step-by-step explanation:

Let us study the equation:

∵ y = log(x)

→ It is a logarithmic function, so no negative values for x

∴ Its domain is {x : x  > 1}

∴ Its range is {y : y ∈ R}, where R is the set of the real numbers

→ An asymptote is a line that a curve approaches, but never touches

∵ x can not be zero

∴ It has a vertical asymptote whose equation is x = 0

→ x-intercept means values of x at y = 0, y-intercept means

   values of y at x = 0

∵ x can not be zero

∴ There is no y-intercept

∵ y can be zero

∴ The x-intercept is (1, 0)

→ The end behavior of the parent function is consistent.

   As x approaches infinity, the y-values slowly get larger,

   approaching infinity

∵ y = log(x) is a parent function

∴ The end behavior is consistent

→ The graph is attached down

You might be interested in
a tree 20 feet tall with a circumference of 3 ft has a vine wound around 7 times. How long is the vine?
FinnZ [79.3K]

If the tree is 20 feet tall with circumference 3 feet then the length of  vince is around 21 feet.

Given the height of tree is 20 feet and the circumference of tree is 3 feet.

We have to find the length of vine.

Circumference is the perimeter of a circular object. Because the trunk of a tree is in shape of circle so the perimeter of the trunk is 2πr.

We have been given the circumference of tree be 3 feet.

Circumference=2πr

Because vine is 7 times the circumference so the length of vine being:

Length of vine=7*3

=21 feet.

Hence if the tree is 20 feet tall with circumference 3 feet then the vince is around 21 feet long.

Learn more about circumference at brainly.com/question/20489969

#SPJ1

4 0
2 years ago
Read 2 more answers
Are 22 42 60 a right triangle or not?
Lelechka [254]

Answer:First things first, let's explain what a right triangle is. The definition is very simple and might even seem obvious for those who already know it: a right-angled triangle is a triangle where one and only one of the angles is exactly 90°. The other two angles will clearly be smaller than the right angle because the sum of all angles in a triangle is always 180°.

In a right angled triangle the sides are defined in a special way. The side opposing the right angle is always the biggest in the triangle and receives the name of "hypotenuse". The other two sides are called catheti. The relationship between the hypotenuse and each of the cathetus is a very simple one, as we will see when we will talk about Pythagoras' theorem.

Hypotenuse calculator

If all you want to calculate is the hypotenuse of a right triangle, this page and its right triangle calculator will work just fine. However, we would also recommend to use the specific tool we have developed at Omni Calculators: the hypotenuse calculator. The hypotenuse is opposite the right angle and can be solved by using the Pythagorean theorem. In a right triangle with cathetus a and b and with hypotenuse c, Pythagoras' theorem states that: a² + b² = c².

To solve for c, take the square root of both sides to get c = √(b²+a²). This extension of the Pythagorean theorem can be considered as a "hypotenuse formula". A Pythagorean theorem calculator is also an excellent tool for calculating the hypotenuse.

Let's now solve a practical example of what it would take to calculate the hypotenuse of a right triangle without using any calculators available at Omni:

Obtain the values of a and b,

Square a and b,

Sum up both values: a² + b²,

Take the square root of the result,

The square root will yield a positive and negative result. Since we are dealing with length, disregard the negative result,

The resulting value is the value of the hypotenuse c.

Now let's see what the process would be using one of Omni's calculator, for example, the right triangle calculator on this web page:

Insert the value of a and b into the calculator

Obtain the value of c immediately

As a bonus, you will get the value of the area for such a triangle.

Step-by-step explanation:Hope this helped u also may i have brainlist plz?

4 0
3 years ago
What is a monomial of the 2nd degree with a leading coefficient of 3
MissTica

Answer:

the answer is a quadratic

Step-by-step explanation:

A second degree polynomial is also called a "quadratic." Examples are 4x2, x2 - 9, or 6x2 + 13x + c. Just for fun, a third degree polynomial is called a "cubic", a fourth degree is called a "quartic", and a fifth degree polynomial is called a "quintic.

7 0
4 years ago
A jar contains 8 marbles numbered 1 through 8. an experiment consists of randomly selecting a marble from the jar, observing the
zepelin [54]
There are 8 possible outcomes for a marble being drawn and numbered. 
{1,2,3,4,5,6,7,8}
There are 4 possible outcomes for a card being selected from a standard deck.
{ <span>hearts, diamonds, clubs, spades}
So the number of outcomes in the sample space would be 8 x 4 = 32.

In the event "an even number is drawn", there are only 4 possible outcomes for a marble being drawn, {2,4,6,8}, whereas there are still 4 possible outcomes for a suit. So the number of outcomes in the event is 4 x 4 = 16.

</span><span>In the event "a number more than 2 is drawn and a red card is drawn", there are 6 possible outcomes for the marble being drawn, {3,4,5,6,7,8}, whereas there are only two possible suits for a card being selected as red, {heart, diamond}. So the number of outcomes in this event is 6 x 2 = 12.

In the event </span><span>"a number less than 3 is drawn or a club is not drawn", the number drawn could be 1 or 2 whereas a spade/heart/diamond could be selected. So the number of outcomes is 2 x 3 = 6.</span><span>

</span>
3 0
3 years ago
4(2x + 1) = 12x + 3 - 4x +1
gayaneshka [121]

Answer:4(2x + 1) = 12x + 3 - 4x +1=0

Step-by-step explanation:

group like terms =4(2x+1)=12x-4x+3+1

add similar elements=4(2x+1)=8x+3+1

add the numbers=4(2x+1)=8x+4

expand=8x+4=8x+4

subtract 4 from both sides 8x+4-4=8x+4-4

simplify=8x=8x

subtract 8x  both sides=0  

5 0
3 years ago
Other questions:
  • Do 15638•1=what help me please I need help
    14·1 answer
  • How do i solve this?
    14·1 answer
  • The sum of three natural numbers is 720. The second number is 2 times larger than the first and 105 smaller than the third numbe
    7·1 answer
  • Solve each quadratic equation. Show your work.<br> x^2 + 3x = 10
    15·2 answers
  • Find the distance between points P(3, 4) and Q(4, -6) If necessary round to the nearest hundredth.
    15·1 answer
  • Proportional relationships, please answer all of the parts! Thank you!
    13·2 answers
  • Radius is dash of the diameter ​
    6·1 answer
  • 280 divided by 8 equal
    6·1 answer
  • PLZ quick!! It's not hard (except for me)
    6·2 answers
  • What is the value of x in the eqation 5[x-6] = 2 [x+3]
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!