10. Which graph appears to show a proportional relationship between x
and y?

Answer:

$31.5 i used a caculator

Step-by-step explanation:

Answer:

Step-by-step explanation:

A(6, 3) ------> A' ( 6 - 3, 3 + 4 ) = (3, 7)

B( - 6, 4) ------> B' ( - 6 - 3, 4 + 4 ) = ( - 9, 8)

C( - 2, - 6) ------> C' ( - 2 - 3, - 6 + 4) = ( - 5, - 2)

9514 1404 393

Answer:

  the difference of squares is 24(3n+2), so a multiple of 24

Step-by-step explanation:

The sequence has a first term of 7 and a common difference of 6, so the n-th term is ...

  a[n] = a1 +d(n -1)

  a[n] = 7 + 6(n -1)

  a[n] = 6n +1

Then the (n+1)-th term is ...

  a[n+1] = 6(n+1) +1 = 6n +7

The difference of the squares of these terms is ...

  a[n+1]^2 -a[n]^2 = (6n+7)^2 -(6n+1)^2

  = (36n^2 +84n +49) -(36n^2 +12n +1)

  = 72n +48

  = 24(3n +2) . . . . . always a multiple of 24

The difference of squares of terms n and n+1 is 24(3n+2), a multiple of 24.

_____

Check

The difference between squares for n=1 and n=2 is 13^2 -7^2 = 169 -49 = 120. The formula tells us the difference is 24(3·1 +2) = 24·5 = 120, in agreement.

It's Linear Equation!!!

A linear equation is an equation whose graph is a straight line.

What is Line segment?

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

Given that;

The graph of equation is a straight line.

Now,

Since, The graph of equation is a straight line.

We know that;

The graph of a linear equation is always a straight line.

Thus, A linear equation is an equation whose graph is a straight line.

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Answer:

C. All whole numbers from 0 to 10

Step-by-step explanation:

Options:

A. All nonnegative real numbers

B. All rational from 0 to 10

C. All whole numbers from 0 to 10

D. All real numbers

Given:

A student can not buy more than 10 books.

The domain is the x-axis which is the number of books.

You can not buy half or a fourth of a book.

Nonnegative real numbers  would include 0.1, 0.2, 0.3, 0.4, 1.5, etc.

Rational numbers from 0 to 10  would include integers, fractions, and repeating decimals which include 1/3, 2/4, 3/4, 6/5, etc.

Whole numbers from 0 to 10 would include integers and a rational.

Real numbers include negative number, but the students are not selling books.

Answer:

20-7x=6x-6

-13x+20=-6

-13x= -26

x=2

Step-by-step explanation:

Answer:

I can do this faster than you can flick your bean

Answer:

1. (2,2) 2. (4,1)

Step-by-step explanation:

Solve by graphing both equations. Where the two equations meet, there is a solution.

Step-by-step explanation:

1)2,2

2)4,1

that's answers to your question

WHEN WE ARE GIVEN the base 2, for example, and exponent 3, then we can evaluate 23.

23 = 8.

Inversely, if we are given the base 2 and its power 8 --

2? = 8

-- then what is the exponent that will produce 8?

That exponent is called a logarithm.  We call the exponent 3 the logarithm of 8 with base 2.  We write

3 = log28.

We write the base 2 as a subscript.

3 is the exponent to which 2 must be raised to produce 8.

A logarithm is an exponent.

Since

104 = 10,000

then

log1010,000 = 4.

"The logarithm of 10,000 with base 10 is 4."

4 is the exponent to which 10 must be raised to produce 10,000.

"104 = 10,000" is called the exponential form.

"log1010,000 = 4" is called the logarithmic form.

Here is the definition:

logbx = n   means   bn = x.

That  base  with that  exponent  produces x.

Example 1.   Write in exponential form:   log232 = 5.

Answer.   25 = 32.

  Example 2.   Write in logarithmic form:  4−2  =    1

16 .

  Answer.   log4  1

16  = −2.

Problem 1.   Which numbers have negative logarithms?

To see the answer, pass your mouse over the colored area.

To cover the answer again, click "Refresh" ("Reload").

Do the problem yourself first!

Proper fractions.

Lesson 20 of Arithmetic

Example 3.   Evaluate  log81.

Answer.   8 to what exponent produces 1?  80 = 1.

log81 = 0.

We can observe that, in any base, the logarithm of 1 is 0.

logb1 = 0

Example 4.    Evaluate  log55.

Answer.   5 with what exponent will produce 5?   51 = 5.  Therefore,

log55 = 1.

In any base, the logarithm of the base itself is 1.

logbb = 1

Example 5 .   log22m = ?

Answer.   2 raised to what exponent will produce 2m ?   m, obviously.

log22m = m.

The following is an important formal rule, valid for any base b:

logbbx = x

This rule embodies the very meaning of a logarithm.  x -- on the right -- is the exponent to which the base b must be raised  to produce bx.

The rule also shows that the exponential function bx is the inverse of the function logbx.  We will see this in the following Topic.

  Example 6 .   Evaluate  log3  1

9 .

 Answer.    1

9  is equal to 3 with what exponent?    1

9  = 3−2

log3  1

9   =   log33−2  =  −2.

Compare the previous rule.

Example 7.   log2 .25 = ?

Answer.   .25 = ¼ = 2minus2.  Therefore,

log2 .25 = log22−2 = −2.

Example 8.   log3Logarithms = ?

Answer.   Logarithms = 31/5.  (Definition of a rational exponent.)  Therefore,

log3Logarithms = log331/5 = 1/5.

Problem 2.   Write each of the following in logarithmic form.

To see the answer, pass your mouse over the colored area.

To cover the answer again, click "Refresh" ("Reload").

  a)     bn = x    logbx = n      b)     23 = 8    log28 = 3

  c)     102 = 100    log10100 = 2      d)     5−2 =  1/25.    log51/25 = −2.

Problem 3.   Write each of the following in exponential form.

 a)   logbx = n    bn = x   b)   log232 = 5    25 = 32

 c)   2 = log864    82 = 64   d)   log61/36 = −2    6−2 = 1/36

Problem 4.   Evaluate the following.

 a)   log216   = 4   b)   log416   = 2

 c)   log5125   = 3   d)   log81   = 0

 e)   log88   = 1   f)   log101   = 0

Problem 5.   What number is n?

 a)   log10n = 3   1000   b)   5 = log2n   32

 c)   log2n = 0    1    d)   1 = log10n    10

 e)   logn   1

16  = −2    4      f)   logn  1

5  = −1    5

 g)   log2   1

32  = n   −5      h)   log2 1

2  = n    −1

Problem 6.   logbbx  =  x

Problem 7.   Evaluate the following.

 a)   log9 1

9    = log99−1 = −1

 b)   log9  1

81    = −2     c)   log2 1

4    = −2

 d)   log2 1

8    = −3     e)   log2  1

16    = −4

 f)   log10 .01  = −2     g)   log10 .001  = −3

 h)   log6Logarithms   = 1/3     i)   logbLogarithms = 3/4

Answer:

18 minutes

Step-by-step explanation:

Since my friend goes at the same rate as me, 7 laps in 9 minutes, you can multiply both sides of the ratio to get 14 laps in 18 minutes.

Hope this helps! :)

Answer: divided by 3

Step-by-step explanation: x is rise y is run

Answer:

The answer is 1/3

Step-by-step explanation:

y2 - y1 0 - (-1)

_______ = ______ = 1/3

x2 - x1 0 - (-3)

Answer:

Step-by-step explanation:

4 bottles cost = $5

Then 1 bottle costs:

Then 6 bottles cost:

Answer:

$7.50

Step-by-step explanation:

Answer:

E. comparing proportions from two independent samples

Step-by-step explanation:

First of all, we have two different populations: Republicans (group A) and Democrats (group B). We want to be able to compare if group A favors/likes certain policy more than group B. In order to do so, we must take independent samples from each population. Only after we have processed our data and calculated the results, can we compare between both groups.

Answer:

I have attached pictures of those below.

Answer:

the first one should be:

360,

60,

150,

90

Step-by-step explanation:

let me know if I'm wrong

Answer:

$42.60

Step-by-step explanation:

His fare = $35.50

Gratuity = 20% of the fare

= 20/100 × $35.50

= 0.2 × $35.50

= $7.10

Total amount he will pay the driver = His fare + amount of gratuity

= $35.50 + $7.10

= $42.60

He will pay the driver a total of $42.60

Answer:

C. 42.60

Step-by-step explanation:

Answer:

diameter = 10

Step-by-step explanation:

the calculation find the radius, multiply by 2

please give thanks :)

↝ Quadratic Function has the domain of all real numbers. (Even not given the specific domain.)

↝ The equation [tex]y=-3(x-5)+8[/tex] is a parabola with (5,8) as a vertex. We call the equation [tex]y=a(x-h)^2+k[/tex] as vertex equation.

The domain of -3(x-5)+8 is all set of real numbers.

↝ Interval Notation ↝

Since the domain of the equation is set of all real numbers.

Therefore, the domain is x ∈ R or (-∞,∞) or -∞<x<∞

There of them work. Recall that the domain of quadratic function is all set of real numbers.

Answer:

DISRESPECT NICKI MINAJ?????

Step-by-step explanation:

WHAT???? put some respect on queen minaj

Answer:

<F

Step-by-step explanation:

Hope this helps :)

The largest measure of angle is angle ∠ F due to opposite angle of largest side .

A triangle is defined as simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes, it is represented by the symbol of Δ and consists of three connected vertices. Triangles can be categorized into a number of different varieties according on their sides and angles.

A triangle has three sides, three vertices, and three interior angles.

The angle sum property of a triangle states that the sum of the three interior angles of a triangle is always 180°

In ΔDEF,

Side DE is opposite of angle ∠ F

Side DF is opposite of angle ∠ E

Side EF is opposite of angle ∠ D

The sides in order from longest to shortest :  Side DE > Side EF = Side DF

The longest side is always opposite of the largest angle, and the smallest side is always opposite of the smallest angle.

Hence, the angle in order from longest to shortest :  angle ∠ F > angle ∠ D > angle ∠ E

Thus, the largest measure of angle is angle ∠ F.

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Answer:

24 hrs= 1day

Ratio 16:24 or 2:3

Answer:

inverse operation(s)

Step-by-step explanation:

Answer: A Christmas Story

Answer:

Can't go wrong with Elf or Home Alone

Answer:

Whats the question?

Step-by-step explanation:

The answer is A: 74 m^2

Answer:

23:119

Step-by-step explanation:

all pens:

77 blue + 23 red + 15 pink + 4 purple

77 + 23 + 15 + 4 = 119

119 total pens

23 red / 119 total

23/119

23 is prime, so this cannot be simplified further

the ratio of red : total pens is 23:119

Answer:

23 to 119 (23:119)

Step-by-step

you first have to add all of the pens together and then take the number of red pens and make that a ratio

I think the answer is 7

Answer:

186 pounds

Step-by-step explanation:

let x = pounds on Earth

set up a proportion:  [tex]\frac{126}{21}[/tex] = [tex]\frac{x}{31}[/tex]

cross-multiply:  21x = 3906

divide by 21:   x = 186

Answer:

186 pounds.

Step-by-step explanation:

By proportion 126/21 =  x/31

6 = x/31

x = 6*31

= 186 pounds.