international travel is usually more expensive than domestic travel. a recent survey found that the average per-person cost of a 12-day international vacation is $1,755. this includes transportation, food, lodging, and entertainment.

Inequality Form:

x<−8

Interval Notation:

(−∞,−8)

Simplify

3−(2x−5),

−2x+8<−4(x2)

Simplify −4(x+2).

−2x+8−4x−8

Move all terms containing x to the left side of the inequality.

2x+8<−8

Move all terms not containing x to the right side of the inequality.

2x<−16

Divide each term in 2x<−16by 2 and simplify.

x<−8

The result can be shown in multiple forms.

Inequality Form:

x<−8

Interval Notation:

(−∞,−8)

What is inequality form ?

The notation a ≠ b means that a is not equal to b; this inequation sometimes is considered a form of strict inequality. It does not say that one is greater than the other; it does not even require a and b to be member of an ordered set.

What is interval notation?

Interval notation is a way to describe continuous sets of real numbers by the numbers that bound them. Intervals, when written, look somewhat like ordered pairs. However, they are not meant to denote a specific point. Rather, they are meant to be a shorthand way to write an inequality or system of inequalities.

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Answer: 13/2

Step-by-step explanation:

Answer:

extraneous

Step-by-step explanation:

extraneous

Answer:125.666

Step-by-step explanation:

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

Work Shown:

[tex]f(\text{x}) = -2\text{x}^2+4\\\\f(4) = -2(4)^2+4\\\\f(4) = -2(16)+4\\\\f(4) = -32+4\\\\f(4) = -28\\\\[/tex]

Explanation:

Replace every x with 4. Then use the order of operations PEMDAS to simplify to a single number.

Answer: PQ=15

Step-by-step explanation:

XY=(PQ+SR)/2

PQ+SR=2*XY

PQ+35=2*25

PQ+35=50

PQ=15

Answer:

A=9cm square

or,l square=9 cm square

or,l=3 cm.

Answer:

3 x 2 5/6 y 7/6 x 8/3

^3 x

Step-by-step explanation:

Answer:

Step-by-step explanation:

$75 gift card

$12 for movie

$9 for book

$75 - $12 = $63

$63 divided by $9 = 7

So she can by 7 books

Answer: 2a-2ab+7

Step-by-step explanation:

6a-5ab+8-(4a-3ab+1)=

6a-5ab+8-4a+3ab-1=

2a-2ab+7

Answer:

2a - 2ab - 9b + 7

Step-by-step explanation:

The step here is to collect the like terms available like this;

6a - 5ab - 9b + 8

- 4a - 3ab - 0 + 1

which is = 2a - 2ab - 9b + 7

Answer:

i think there both obtuse

The function is positive on (-4, -3), and (-1, 4),

the function is negative on (-3, -1),

the function increases on (-2, 2), and

the function decreases on (-4, -2) and (2, 4).

The key features of the function given in the graph are:

Positive intervals:

Here we need to say at which intervals the value of the graph is positive.

That is at which intervals the graph is above the x-axis.

It is clear from the graph that the function is positive on (-4, -3), and (-1, 4)

Negative intervals:

Here we need to say at which intervals the value of the graph is negative.

That is at which intervals the graph is below the x-axis.

It is clear from the graph that the function is negative on (-3, -1).

Increasing intervals:

Here we need to say at which intervals the value of the function increases.

That is at which intervals the graph goes upwards when the value of the x increases.

It is clear from the graph that the function increases on (-2, 2).

Decreasing intervals:

Here we need to say at which intervals the value of the function decreases.

That is at which intervals the graph goes downwards when the value of the x increases.

It is clear from the graph that the function decreases on (-4, -2) and (2, 4).

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He puts 100$ in the bank on the 25th week.

An example of a financial institution that lends money is a bank, which both collects deposits from the public and creates demand deposits. Through the capital markets, the bank may engage in lending activities directly or indirectly.

Banks are heavily regulated in most countries because they are essential to the financial stability and economic health of a nation. The fractional reserve banking system, in which banks maintain liquid assets that are only partially comparable to their current liabilities, has been institutionalized in the majority of countries. In addition to other constraints intended to assure liquidity, banks are often subject to minimum capital requirements based on an international set of capital norms known as the Basel Accords.

Explanation:

First term([tex]a_{1}[/tex])= 1

Common difference= 1.25-1=0.25

[tex]a_{25}[/tex]=1+(25-1).25

        =1+(24)(.25)

        = 1+6

        =7

[tex]S_{25}[/tex]=25/2 (1+7)

    =25/2 (8)

    =100

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The approximate side length of a square game board with an

area of 184 in² is 14 inches

The formula for calculating the area of a square is expressed as;

A = l²

where

l is the side length of a square

Given the following parameters

A = 184 square inches

Substitute

184 = l²

l = √184

l = 13.56

Hence the approximate side length of a square game board with an

area of 184 in² is 14 inches

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(1)  y-intercept is 490 and the slope is -2/3.

(2) First, plot the point(0,490). Then utilize the slope (-2/3) to compute the direction and angle the line moves.

(3) The function's equation is f(x) = (-2/3)x + 490.The graph depicts how many wraps could have been sold for each amount of sandwich sales in order to keep the same $1,470 revenue.

(4) The graph of the function is attached below.

(5) The profits have the same slope, but the y-intercept is greater than that of the previous month.

(6) The equation is y = (-2/3)x + 300.

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Answer:

Step-by-step explanation:

(6x-51)*(2x+61)

=6x(2x+61)-51(2x+61)

=[tex]=12x^{2} +366-102x-3111\\=12x^{2} -102x+366-3111\\=12x^{2} -102x-2745[/tex]

HOPE THIS HELPS!!!!

Meena would take 4 hours to drive 196 miles.

We will begin with calculation of number of miles Meena drives in 1 hour. We need to perform division as per the formula given below to find the speed. Then we will calculate the time required for driving 196 miles.

So, formula stating rate or speed of driving -

Speed = distance ÷ time

Keep the values in formula to find the speed

Speed = 245 ÷ 5

Performing division

Speed = 49 miles per hour

So, Meena drives 49 miles in 1 hour.

For driving 196 miles, the time required = (1 ÷ 49) × 196

Performing multiplication and division

Time required = 4 hours

Hence, Meena will require 4 hours to drive 196 miles.

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Answer:

[tex] \frac{3 + p}{q} [/tex]

Step-by-step explanation:

Because it says 3 and p then you divide both of them by q

Hope this helps!

If you have any questions ask!

You have to add 3 and p before dividing by q.

(3 + p)/q

This is 5th edition of  the book.

Statistics a branch of mathematics dealing with the collection, analysis, interpretation, and presentation of masses of numerical data

This is a book related to statistics for the life sciences which was written by  three persons named MYYRA L  SAMUELS, JEFFERY A WITNER, ANDREW SCHAFFNER. This book is fully related to life sciences .

It depicts how many no. of animals found in the region and what is the no. of lions or how many giraffe is found in that area or how many different species is found in particular area.

So, all these things they are given with the help of statistics.

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Answer:

3/ax-4=20

first add 4 to both sides

3/ax=20+4

multiply by a/3

24a/3

so x=8a

Answer: 1/8a

Step-by-step explanation: add 4 to both sides first, which will give you 3/ax = 24. Now multiply both sides by ax/3 to get rid of the 3/ax, which will then give you 1 = 24 * ax/3, which equals to 1 = 24ax/3. This can be simplified further and you'll get 1 = 8ax. now divide both sides by 8a to isolate x, you will end up with 1/8a = x.

The pool that Reggie drew will be 24 millimeters long, compare to real life which is 24 meters long.

As we can't create a real-life dimension in a small sheet of paper, we opted for a small scale that covers up the large length. As we are given, the scale of the drawing is 4 millimeters: 3 meters, which means 1 millimeter is equal to 3/4 meters, and the size of the pool in real life is 24 meters.

So, the length of the pool in the drawing is = 24*(3/4)

                                                                           = 24 millimeters

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Answer:

8 tacos

Step-by-step explanation:

40 tacos    to     15 students

8 tacos       to      3 students

15/3 =5, so divide 40 by 5 to get 8

The sample space for the given experiment is

{ (r,r) , (r,g) , (r,b)

  (g,r) , (g,g) ,(g,b)

  (b,r) , (b,g) , (b,b)}

A sample space is a set of potential results from a random experiment. Events are the subset of possible experiment results. An event is set of possible outcomes.

The die consists of 3 different colors namely red, green and blue

Here, the number of variables is 3 i.e red, green and blue.

The subset will contain

= [tex]2^{3}[/tex]

=8 elements.

The red color is indicated by 'r'

The green color is indicated by 'g'

The blue color is indicated by 'b'

The events that can appear in a single roll is r, b or g.

Sample space for the next 2 rolls

={ (r,r) , (r,g) , (r,b)

  (g,r) , (g,g) ,(g,b)

  (b,r) , (b,g) , (b,b)}

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Answer:

a=57 degree

b = 24 degree

c = 39 degree

d = 60 degree

Step-by-step explanation:

angle a = YWX = YZX = 57

angle b = ZWY = ZXY = 24

angle c = WYX = WZX = 39

angle d = WYZ = WXZ = 60

A. 58.2%

this is because

(95610-60450)/60450 =0.5816377171215 which rounds to 0.582 which is 58.2%

Answer:

A

Step-by-step explanation:

Change in population/ original number

[tex]\frac{95610 - 60450}{60450}[/tex] = [tex]\frac{35160}{60450}[/tex] = .58163771712  This is the answer as a decimal.  Multiple this by 100 to get 58.2% increase rounded to the nearest tenth of a percent.

The cost for a 3-hour installation is $195.

A relation between a collection of inputs and outputs is known as a function. A relationship between inputs and outputs in which each input is connected to only one output is called a function. Each function has a codomain, range, and domain.

The hourly charge to install two new programs and a connection is $50.

The computer store charge $45 for the materials.

The function for the cost of the number of hours it takes to complete the job is given as:

C(h) = 45 + 50h

Therefore, the cost for a 3-hour installation is:

C(3) = 45 + 50 × 3

C(3) = 45 + 150

C(3) = $195

The 3-hour installation cost is $195.

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