Write logb(x/y) as two logs

Answers

Answer 1

Answer:

[tex] log_{b}(x) - log_{b}(y) [/tex]


Related Questions

PLEASE ANSWER ASAP!!!!!!!
a⃗ =<5, −1> and b⃗ =<2,−2>.

Represent a⃗ +b⃗ using the head-to-tail method.

Use the Vector tool to draw a⃗ and b⃗ , complete the head-to-tail method, and draw a⃗ +b⃗
To use the Vector tool, select the initial point and then the terminal point.
(please give picture of graph)

Answers

OC represents vector a and b drawn using the head-to-tail method.

What is a Vector ?

A vector is an object that has both magnitude and direction.

The given vectors are

a =<5, −1> and b =<2,−2>

Representing vector a +b using the head and tail method

Here in the image attached with the answer ,

The vector a is represented by OA and the vector b is represented by OB

By head and tail method , the OC is drawn by extending the vector a towards b and b towards a

Vector OC = Vector OA + Vector OB

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Can someone explain to me #2 I only need #2

Answers

Answer:

in a rectangle, opposite sides are equal in length

Step-by-step explanation:

now in this question, Pythagoras theorem is being used to find the length

we know both sides by using Pythagoras theorem find third side and get the sum to find ac+bd

Step-by-step explanation:

So it tells you that AB = 21 and AD = 28
and you to find what BD + AC is and since BD is the same length as AC
you only need to find one of them, then double it
There is a formula you use called the Pythagorean theorem
The Pythagorean theorem is A²+B²=C²  
In this problem A = 21    B = 28  and C = the length of BD
so it'll look like  21²+28²=Length of BD²  or BD²=21²+28²  now you find BD
first do 21²+28² --> 441+784 --> 1225   Now you know that 21²+28²=1225
so BD²=1225  Then to find BD, you find √1225(square root of 1225)
Which is 35     So BD=35 and you want to know what BD+AC is
so 35+35=70        

the probability of drawing a diamond or a queen from a pack of 52 cards is​

Answers

Answer:

25 percent chance or 13/52 for drawing a diamond and 4/52 for a queen

Step-by-step explanation:

There are 13 diamonds in a stack of 52 cards, hence 13/52 or 25 percent chance of drawing a diamond.

Since there are only 4 queens in a stack of 52 cards, so 4 out of 52 cards are queens

Seven times the twice of a number and 6 equals 4

Answers

Answer:

7(2a+6) = 4

and the answer is:

19/7

Step-by-step explanation:

7(2a+6) = 4

7*2a + 7*6 = 4

14a + 42 = 4

14a = 4 - 42

14a = -38

a = -38/14

a = -19/7

Find the highest common factor of 12 and 40

Answers

To find the highest common factor (HCF) between two numbers , first to take HCF of both the numbers.

[tex] \purple {\Large\begin{array}{r | l}2&\underline{12}\\3& \underline{6}\\2&\underline{2}\\&\underline{1}\\\end{array}} \: \: \: \: \: \: \: \: \: \: \: \: \purple {\Large\begin{array}{r | l}2&\underline{40}\\2& \underline{20}\\5&\underline{10}\\2&\underline{2} \ \\ &\underline{1}\\\end{array}}[/tex]

Take every common prime factor between 12 and 40

[tex] \red {\large \implies} \large \: 12 \: = \: 2 \: \times \: 3 \: \times \: 2 \: \: \: \: \: \: \: \: \: \: \\ \\ \red {\large \implies} \large \:40 \: = \: 2 \: \times \: 2 \: \times \: 5 \: \times \: 2 \: [/tex]

Finally, identify the factors common to each number and multiply those common factors together.

[tex] \rm\orange {\large \implies} \large \:Common \: factors \: = \: 2 \: \times \: 2[/tex]

[tex]\rm\orange {\large \implies} \large \:HCF = 4[/tex]

4 is the highest common factor

Hope this helps!

Find the equation of the line passing through the points -2x+1 (8,2)

Answers

The line that passes through (-2, 1) and (8, 2) is:

y = (1/10)*x + 12/10

How to find the equation of the line?

I assume you want to find the equation of the line that passes through (-2, 1) and (8, 2).

A general linear equation is written as:

y = a*x + b

If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope can be written as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

In this case, we know that it passes through (-2, 1) and (8, 2), then:

[tex]a = \frac{2 - 1}{8 - (-2)} = 1/10[/tex]

Then the line is:

y = (1/10)*x + b

To find the value of b, we use one of the given points, for example if we use (8, 2), it means that when x = 8, we must have y = 2.

2 = (1/10)*8 + b

2 - 8/10  = b

20/10 - 8/10 = b

12/10 = b

Then the linear equation is:

y = (1/10)*x + 12/10

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The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 37 hours and the median is 33.2 hours. Twenty-four of the families in the sample turned on the television for 22 hours or less for the week. The 10th percentile of the data is 22 hours. Based on the given information, determine if the following statement is true or false. Approximately 120 families turned on their televisions for less than 37 hours.

Answers

The statement; Approximately 120 families turned on their televisions for less than 37 hours is true.

What is true about the data?

From the task content, since the 10% percentile of the data corresponds to 24 families, it.follws that the total number of families sampled is; 24 × 10 = 240 families.

On this note, after the first 120 data points, the median is determined to be 33.2 hours which is less than the mean. Conclusively, it follows that approximately 120 families turned on their televisions for less than 37 hours.

Hence, the statement is true.

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The following two way table shows the number of students of a school who have a cell phone and or have a part-time job.

Answers

Answer:

the answer is b.40 that the kids that are working and have phone b

what is the solution to square root 5x+3= 3 square root x?
A.3/4
B. 3/2
C.-3/4
D.-3/2

Answers

Answer:

A. 3/4

Step-by-step explanation:

1. Square both sides:
5x + 3 = 9x
2. Subtract 5x from both sides:
3 = 4x
3. Divide 4 from both sides:
3/4 = x
Answer: A

Answer:

3/4

Step-by-step explanation:

it's correct

∠C, ∠F are rt. ∠'s; AB = DE; BC = EF

Answers

abt=de yeah hope it helps

find the area of quadrilateral​

Answers

Using the formula u should get 302.3

Answer:

here is answer try this type

Ariana scored 89% out of 600 in Exam what could be the marks she had scored? ​

Answers

Answer:

534

Step-by-step explanation:

The solution is in the image

Find the values of a and b 3 * 2 = a + b if​

Answers

value of a = 3

value of b = 2

a + b = 3 + 2 = 5 .

It takes two points to define a plane.

Answers

Answer:

In a Euclidean space of any number of dimensions, a plane is uniquely determined by any of the following: Three non-collinear points (points not on a single line). A line and a point not on that line. Two distinct but intersecting lines.

Step-by-step explanation:

please mark me brainlist and follow me

how many eggs are in 2 3/4 dozen?
please answer this one...i need it today​

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

33 eggs

Step-by-step explanation:

1 Dozen = 12 units

2 dozen = 2*12 = 24 units

3/4 dozen = 12*3/4 = 36/4 = 9 units

2 3/4 = 2 + 3/4 = 24 + 9 = 33 units

Quick I need an answer to this Queston:


The functions f(x)= −3/4x + 2 1/4 and g(x)= (1/2)x + 1 are shown in the graph.


What are the solutions to −3/4x + 2 1/4 = (1/2)x + 1?


Select each correct answer.



−1


0


1


2


3

Answers

Step-by-step explanation:

[tex] - \frac{3}{4} x + 2 \frac{1}{4 } = \frac{1}{2} x + 1[/tex]

[tex] - \frac{3}{4} x + \frac{9}{4} = \frac{1}{2} x + \frac{2}{2} [/tex]

[tex] \frac{ - 3x + 9}{4} = \frac{2x + 4}{4} [/tex]

[tex] - 3x + 9 = 2x + 4[/tex]

[tex] - 3x - 2x = 4 - 9[/tex]

[tex] - 5x = - 5[/tex]

[tex]x = \frac{ - 5}{ - 5} [/tex]

[tex]x = 1[/tex]

The answer is C.

What is the slope of the line thatpasses through these two points?(2,3)(2,9)

Answers

Answer:

The slope is undefined

Step-by-step explanation:

[tex]m=\frac{9-3}{2-2}[/tex]

The denominator leads to 0 so it would not be possible to find the answer

Answer:

undefined

Step-by-step explanation:

anything divided by zero is undefined since you cant logically give (for example) 2 apples to 0 people.

For slopes not so obvious, the formula is (slope)m= (rise)y/(run)x

Find one-third of the sum 9 and 12.

Answers

Answer:

7

Step-by-step explanation:

9 plues 12 = 21

21 divide by 3

= 7

Answer:

7

Step-by-step explanation:

9 + 12 = 21

one third of 21 is the same as 21 divided by 3

so 21 divided by 3

= 7

so 7 is the answer

OR

9 divided by 3 = 3

12 divided by 3 = 4

3 + 4 = 7

in january of 2013, mr edwards turned 64 years old. in what year was mr edwards born.

Answers

Answer:

xhdvuvzxvzvkkzv jzh jhj,

Step-by-step explanation:

we can subtract his age from the year 2013.
we get 2013-64 which equals 1949.
Therefore, Edward was born in 1949

Please help me with my math

Answers

Answer:

6.4

Step-by-step explanation:

It's stated that the shapes are similar.

We can use similarity ratio to find the value of x:

LM/CD = KL/BA

x/4 = (11.2)/7 cross multiply expressions

7x = 44.8 divide both sides by 7

x = 6.4

PLEASE HELP TIMED!!!
Which of the following describes the growth rate of the exponential function in the graph below?

a) For each x increase of 1, the y increases by a common difference of 3.
b) For each x increase of 1, the y increases by a common factor of 3.
c) For each x increase of 1, the y increases by 4 more than the previous increase.
d) For each c increase of 2, the y increases by doubling and then adding one.

Answers

Answer:

B

Step-by-step explanation:

let me know if you want an explanation :))

A line contains points M(1, 3) and N(5, 0). What is the slope of MN?

negative StartFraction 4 Over 3 EndFraction
negative StartFraction 3 Over 4 EndFraction
StartFraction 3 Over 4 EndFraction
StartFraction 4 Over 3 EndFraction

Answers

Answer:

Step-by-step explanation:

gradient = delta y over delta x

gradient = 0 - 3 / 5 - 1

gradient = -3 / 4

Please help me asap 5/11

Answers

By applying concepts related to matrices and their dimensions, the element of the matrix that belongs to the 2nd row and 3rd column is 6.

How to determine the content associated to the index of a matrix

Matrices are constructions studied by linear algebra, are a particular case of tensors. This kind of constructions are characterized by two dimensions: (i) Number of rows - Horizontal rows, (ii) Number of columns - Vertical rows.

Each element of an matrix A has an associated index with the following form:

[tex]a_{i,j}[/tex]

Whose meaning is "element of the matrix A that belongs to the i-th row and j-th column".

In this case, we find that the element of the matrix that belongs to the 2nd row and 3rd column is 6.

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Construct a rectangle with sides 6cm and 4cm.​

Answers

Answer:

Step-by-step explanation:

Answer:

First, draw a line segment AB = 6 cm.Draw a ray AX with pencil and compass such that ∠BAX = 90°. Draw an arc of 4 cm with point A which intersects AX at D.Similarly, draw ray BY such that ∠ABY = 90°. Draw an arc of 4 cm with point B which intersects BY at C.Join CD.Thus ABCD is the required rectangle.

ΔXYZ was reflected over a vertical line, then dilated by a scale factor of One-half, resulting in ΔX'Y'Z'. Which must be true of the two triangles? Select three options.

Answers

The options that are true of the triangles include:

∆XYZ ~∆X'Y'Z'AngleXZY ≅ AngleY'Z'X'XZ = 2X'Z'

The complete question is given below:-

ΔXYZ was reflected over a vertical line, then dilated by a scale factor of One-half, resulting in ΔX'Y'Z'. Which must be true of the two triangles? Select three options.

△XYZ ~ △X'Y'Z'AngleXZY ≅ AngleY'Z'X'YX ≅ Y'X'XZ = 2X'Z'mAngleYXZ = 2mAngleY'X'Z'

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation.

It should be noted that triangle XYZ is reflected over a vertical line. Then, it's dilated by 1/2 to form XYZ.

This implies that the triangles are similar, the angles are congruent and the side length of XYZ is twice that of X'Z.

Therefore the options that are true of the triangles include:

∆XYZ ~∆X'Y'Z'AngleXZY ≅ AngleY'Z'X'XZ = 2X'Z'

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convert the following numbers into scientific notation
3,400=
0.000023=
4.50=
1,000,000=
0.00671=

Answers

The Scientific notation of given numbers are  [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].

The given numbers are 3400, 0.000023, 4.50, 1,000,000 and 0.00671.

What is scientific notation?

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

Now, [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].

Therefore, the Scientific notation of given numbers are  [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].

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The directrix and focus of a parabola are shown on the graph. Which is an equation for the parabola?

Answers

So we know the focus and deritrix, so plug it into the distance formula

Square root all (x - 1)^2 (y- 3)^2 = (x + 5)^2 just do some algebra you will get x^2 -2x + 1 + y^2 - 6y + 9 = x^2 + 10x + 25, simplified you will get -12x - 15 = 6y - y^2. I’m pretty sure the answer is c

Helppp will give brainliest
Let x1 = 21, y1 = −15, and y2 = 9, and let y vary inversely as x. Find x2.

Answers

Answer:

The value of [tex]x_{2}[/tex] from inverse variation is (-35).

Step-by-step explanation:

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value. It states if the value of one quantity increases, then the value of the other quantity decreases. While direct variation describes a linear relationship between two variables, inverse variation describes another kind of relationship.

An inverse variation can be represented by the equation

xy=k .

That is y varies inversely as x if there is some nonzero constant k.

Here, the product is given by :

x1y1=x2y2

21 x (-15)=x2 x 9

(-315) / 9 = x2

x2=(-35)

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how do you write 0.8 recurring as a fraction?

please can i have an explanation aswell :)

Answers

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

we require 2 equations with the repeating digits placed after the decimal point.

let x = 0.888.. (1) ← multiply both sides by 10

10x = 8.888.. (2)

subtract (1) from (2) thus eliminating the repeating digits

9x = 8 ( divide both sides by 9 )

x = [tex]\frac{8}{9}[/tex]

9.
Let f(x) = 2x + 2. Solve f−1(x) when x = 4. (1 point)

Answers

Answer:

1

Step-by-step explanation:

The value of the output given by the inverse for a given input is the same as the input of the original function that results in the output equal to the given input.

So, 2x + 2 = 4, meaning the answer is 1

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