what is the distance between the two points in simplest radical form
(−2,−7) and (5,0)

Using positive integers between 1 and 9 and each positive integer at most once,

2 x+ 9 < 3 x + 1

6x+ 4 > 5 x+ 8

To get two constraints so that x = 7 is the only integer that will satisfy both constraints at the same time. Upon analysing it can be seen that to the coefficients of x in eaxh equation shouch be two consecutive number. The coefficient on the lesser than side should be lower than the coeffiecient present on the greater than side.

To make the equation in such a way that only 7 satisfy it, the lesser than sides are added with numbers higher than 7 that is 8 and 9.

Therefore, Using positive integers between 1 and 9 and each positive integer at most once,

2 x+ 9 < 3 x + 1

6x+ 4 > 5 x+ 8

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Answer:

The equivalent expression is;

Explanation:

We want to simplify the expression;

we will first multiply the negative by every term in the bracket, then simplify by collecting the like terms.

Therefore, the equivalent expression is;

C=34.15+0.65M

Given

so

to Know C, how much more it costs to rent a Luxuy can than an economc, we need to do a subtraction, hence

so, replace and simplify

therefore, the answer is

C=34.15+0.65M

I hope this helps you

C=34.15+0.65M

Given

so

to Know C, how much more it costs to rent a Luxuy can than an economc, we need to do a subtraction, hence

so, replace and simplify

therefore, the answer is

C=34.15+0.65M

I hope this helps you

Answer:

Regular Polygon:

D

Irregular Polygon:

A, B, F

Not a Polygon:

E, C

Step-by-step explanation:

Polygons are shapes with straight lines.

Regular polygons have uniform side lengths and angles.

Answer: [tex]x^4 - 12x^3 - 27x^2 +486x[/tex]

Step-by-step explanation:

[tex](f \cdot g)(x)=f(x)g(x)\\\\=(x^2 -3x-54)(x-9)\\\\=x^3 - 9x^2 - 3x^2 + 27x - 54x + 486\\\\=x^3 -12x^2 -27x+486\\\\\therefore x(f \cdot g)(x)=x(x^3 -12x^2 -27x+486)\\\\=x^4 - 12x^3 - 27x^2 +486x[/tex]

The most appropriate choice for domain of a  functions will be given by -

What is a domain of a function

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

The set of values for which the function is defined is called domain of the function.

Here, from the graph, the set of values of x axis for which the graph is drawn is [tex]-6\leq x \leq 6[/tex].

And values of x - axis represents the domain.

So domain of function is {x ∈ [tex]\mathbb{R}[/tex], [tex]-6 \leq x \leq 6[/tex]}

Third option is correct.

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The demand function of  the number of sets sold will increase by 130 per week is p(x) = (-1 ÷ 13)x + 550.

Determine the coordinates of two points mostly online. Estimate the difference in y-coordinates between these two places. Estimate the difference in x-coordinates between these two places. Divide the y-coordinate difference by the x-coordinate difference.

Let p(x) denote the demand function, with x denoting the number of TV sets desired. As stated in the issue, a $10 decrease in p(x) causes a 130 rise in x. As a result, the slope of the demand function graph is -13 ÷ 130 = -1 ÷ 10.

Given p(1250) = 450,

-1 ÷ 10 = (p(x) - 450) ÷ (x - 1250)

p(x) = (-1 ÷ 13)x + 550

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Answer:

9x^2-1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiply (3x - 1) * (3x + 1)

= 9(x)^2 + 3x - 3x -1

= 9(x)^2 - 1

The ordered pair which is a solution to the given linear equation is (-5, -4)

Linear equations are equations that has a leading degree of 1. The standard linear equation is given as Ax + By = C.

Given the linear equation below;

-2x+9y=-26

We need to determine the ordered pair that gives a solution to the linear expression.

For the coordinate point (4, 4)

-2(4) + 9y = -26

9y = -26 + 8

9y = -18

y = -18/9 = -2

This shows that (4, 4) is not a solution.

For the coordinate point (-4, -4)

-2(-4) + 9y = -26

9y = -26 - 8

9y = -34

y = -34/9

This shows that (-4, -4) is not a solution.

For the coordinate (-5, -4)

-2(-5) + 9y = -26

9y = -26 - 10

9y = -36

y = -4

This shows that (-5, -4) is a solution of the linear equation.

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you didn't attach the figure....

Answer:

22

Step-by-step explanation:

If the point M (4,3) is translated using the rules (x, y) ⇒ (x, y-2),  then the coordinates of the M' = (4,1)

The point is M(4,3)

The translation rules is

(x, y) ⇒ (x, y-2)

The translation states that the movement of the graph either horizontally  or vertically. When we translate the graph, the shape and size will not change, only the coordinates of the graph changes.

We know the values of

x = 4

y = 3

Substitute the values in the equation

The coordinates of the M' = (x, y-2)

= (4, 3-2)

= (4,1)

Hence, if the point M (4,3) is translated using the rules (x, y) ⇒ (x, y-2),  then the coordinates of the M' = (4,1)

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Standard deviation is used for interval-ratio variables and is the square root of the average of the squared deviations from the mean.

What is measure of variability?

Measures of variability provide descriptive information about the dispersion of scores within data.

Standard deviation uses all the values in the distribution in it's calculation hence the standard deviation provides the most information.

Therefore standard deviation is used for interval-ratio variables and is the square root of the average of the squared deviations from the mean.

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Answer:

12

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

f(1)=6, f(n)=f(n-1)+4

n = 1 → a1 = 6 ← given value

n = 2 → a2 = 6+4 = 10

n = 3 → a3 = 6+4+4 = 14

n = 4 → a4 = 6+4+4+4 = 18

n = 17 → a4 = 6+(4 * 16) =

(its 4 times 16 because 16 is 17 - 1 or n - 1)

n = 17 → a4 = 6+(64) = 70

socraticorg

Tony B

Using the percentage of guests choose one option for their dinner , the number of guest chose meat as their dinner option are 455.

As given in the question,

Options given for dinner :

Meat, Fish and Vegetarian

Percent of guest having

Meat in dinner = 65%

Vegetarian = 5%

Number of guest chose fish =210

Percent of guest chose fish = 100 -(65 +5)

                                            = 30%

Let x be the total number of guest

30% of x = 210

⇒ (30/100) × x = 210

⇒ x= (210 ×100) / 30

⇒ x = 700

Therefore, using the percentage of guests choose one option for their dinner ,the number of guest chose meat as their dinner option are 455.

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Working 32 hours a week will fetch you $818

From the question, the given parameters are:

Number of hours = 160

Earnings in a month = $4090

Start by calculating the unit rate

This is calculated using the following unit rate formula

So, we have

Unit rate = Earnings in a month/Number of hours

Substitute the known values in the above equation

So, we have

Unit rate =  4090/160

Evaluate the quotient

Unit rate =  25.5625

For 32 hours, the total earnings is

Total = Unit rate x Number of houts

So, we have

Total = 25.5625 x 32

Evaluate

Total = 818

Hence, you will earn $818 weekly

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Answer:

V

Step-by-step explanation:

Answer:100 cm

Step-by-step explanation: first, you would find the area of the whole rectangle.

L x W = A

10x14=140

Next, find the area of the unshaded part. To do this, you would subtract 6 from 14

14-6=8

After that, times 8 by 10, then divide by 2

10x8=80

80÷2=40

Take 40 and subtract it from the area of the whole rectangle

140-40=100

The triangle ABC is an equilateral triangle. This means that each angle equals 60°. Hence, the angle at B is 60°.

The length of each side of ABC is given to be 3 cm long.

We can get the length of side AD by solving the triangle ABD using the Cosine Rule given to be:

Since we're considering triangle ABD, and we have the measure of angle B, we can use the relationship:

Note that a, b, and d are the sides, such that:

Substituting these values, we have:

The length of AD is 6.08 cm to 2 decimal places.

Solution:

The spinner has a total of 8 sections.

There are two green sections and 4 four vowel sections where one of the vowels is also green.

Then, the probability of landing on green or a vowel is;

Let's begin with what we know:

For an ordered pair, we have (independent variable, dependent variable)

For example, when x is the independent variable & y is the dependent variable, we have (x, y)

y = f(x)

We are to write a short statement that expresses a possible relationship between the variables below:

1. (volume of a gas tank, cost to fill the tank)

Volume of gas is the independent variable & Cost to fill the tank is the independent variable. That means that:

As the volume of the gas tank increases. the cost of filling it increases. Once the volume of the gas tank is filled, the cost to fill the tank is at its maximum

2. (time, price of a Ford sedan), where time represents years from 1975 to 2017​

Time is the independent variable & price of a Ford sedan is the independent variable. That means that:

As the time lapses from 1975 to 2017, the price of the Ford sedan depreciates/reduces.

Answer:

A) there are no outliers in this distribution.

To solve this question, you have to look for the answers in the table.

Let's analise each part of the question to solve it:

(a) f(1) =

f(1) means the output of the function [f(x)] when x = 1.

Looking for x =1 in the table, you can see that f(x) = 0.

f(1) = 0.

(b) f(x) = 3, x =

Now, you have to find the input (x) when the outpout [f(x)] is 3.

Looking for f(x) = 3, you can see that x = 7.

f(x) = 3, x = 7.

(c) f⁻¹(0) =

Now, you have to evaluate the inverse function.

To look for the values of the inverse function, x will be the output and f⁻¹ will be the input.

To look for f⁻¹(0), look for f(x) = 0 (input) and the output will be 1

f⁻¹(0) = 1.

(d) f⁻¹(x) = 7; x =

Again, you have an inverse function. So, 7 will be the input in the table (x). x is 7 (output).

f⁻¹(x) = 7; x = 3.

The volume of a cone is given as follows;

The volume of the cone with the given dimensions is

1,046,666.67 cubic feet (rounded to the nearest hundredth)

Without approximation, the answer would be,

1,046,666.6666 cubic feet

Let x be the cost of each notebook. We know that we bought 5 of them, then the total cost of the notebooks is:

We had 21 dollars and we spent 5x on the notebooks, this can be express as:

Finally we know that this is equal to the six dollars we had at the end, then we have the equations:

Solving for x we have:

Therefore each notebook cost $3

Solution

For this case we can solve the problem with the following operation:

And rounded the answer we got 3.25 ft

16.24*100 = 1624

5*100 = 500

And we can do this:

1624/500 = 812/250 = 406/125

003

_____

125 / 406

-0

____

-40

-0

____

406

-375

_____

31

Answer:

1/26

Step-by-step explanation:

If the cards are all there, you can count there are 2 red threes. And there are 52 cards. The fraction is 2/52 or 1/26