If you were a travel agent and a client asked about the daily cost of renting a condominium on maui, what average would you use? explain.

By using the linear function which models the data in the given table, if x = 2, then y is approximately: A. -11.

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the linear function is given by:

y = -5.9245x + 0.9958

If x = 2, then y is approximately:

y = -5.9245(2) + 0.9958

y = -11.849 + 0.9958

y = -10.8532 ≈ -11.

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Note that

[tex]\frac{x^2-1}{x^3 - 2x^2 -x+2}=\frac{x^2 -1}{x^2 (x-2)-(x-2)}=\frac{x^2 -1}{(x^2 -1)(x-2)}[/tex]

So, for all [tex]x \neq \pm 1[/tex], [tex]f(x)=\frac{1}{x-2}[/tex].

So, the graph looks like something like as following in the image.

[tex]y = - 5x + n \\ [/tex]

[tex] - 2 = - 5( - 1) + n \\ - 2 = 5 + n \\ n = - 7[/tex]

[tex]y = - 5x - 7 \\ 5x + y = - 7[/tex]

Answer:

○ [tex]5x + y = -7[/tex]

Step-by-step explanation:

The formula for forming the equation of a line given a point and a slope is:

[tex]\boxed{y- y_1 = m(x - x_1)}[/tex],

where:

m = slope (-5)

[tex]y_1[/tex] = y-coordinate of point (-2)

[tex]x_1[/tex] = x-coordinate of point (-1).

Substituting these values into the formula:

[tex]y - (-2) = -5(x - (-1))[/tex]

⇒ [tex]y + 2 = -5(x + 1)[/tex]

⇒ [tex]y + 2 = -5x -5[/tex]      [expanding the brackets]

⇒ [tex]y = -5x -5 - 2[/tex]      [subtracting 2 from both sides]

⇒ [tex]y = -5x - 7[/tex]

⇒ [tex]5x + y = -7[/tex]            [adding [tex]5x[/tex] to both sides]

This means that the second option is correct.

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Vernon Variable ran 43 yards, Reggie Root ran 114 yards, Larry Linear ran 54 yards, and Quentin ran 18 yards.

We are told that the total number of yards the WACO Hawks ran is 229. Thus, we can say that: W = 229

Now, we know that Vernon Variable gained many yards. Thus, the amount of yards will be indicated by "V"

Now, Reggie Root ran for 15 less than three times as many yards as Vernon did. Thus, distance Reggie root ran is represented by;

R = 3V-15

Larry Linear picked up 11 more yards than Vernon’s total. Thus, total yards by Larry Linear is: L = V + 11

Quentin Quadratic ran a total of 18 yards. Thus; Q=18.

Now, all of the player's totals add up make what the total team ran. Thus, the expression is;

V + 3V - 15 + V + 11 + 18 = 229

Simplifying this gives;

5V + 14 = 229

5V + 14 = 229

Subtract 14 from both sides to get;

5V = 215

Divide both sides by 5 to get;

V = 43

Thus, Vernon ran a total of 43 yards.

Total run by Reggie is:

R = 3(43) -15

R = 129 - 15

R = 114 yards.

Total run by Larry:

L = V + 11

L = 43 + 11

L = 54 yards.

Thus, we conclude that Vernon Variable ran 43 yards, Reggie Root ran 114 yards, Larry Linear ran 54 yards, and Quentin ran 18 yards.

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Answer:  $200  (choice B)

Explanation:

Notice that 100/4 = 25 which matches with the fact the cost is $25 per hour.

Therefore, 8 hours will yield a total cost of 8*25 = 200 dollars

The cost for Susan to rent a truck for her entire 8-hour work day is $200. Therefore, option B is the correct answer.

Given that, if it costs Susan $25 to rent a truck for 1 hour and $100 to rent a truck for 4 hours.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Cost of rent of truck for 8 hours = 1 hour rent × Number of hours

= 25 × 8

= $200

The cost for Susan to rent a truck for her entire 8-hour work day is $200. Therefore, option B is the correct answer.

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To form a system of equation from a word problem, we must recognize different variables to form different equations.

Let a represent the number of child tickets.

Let b represent the number of adult tickets.

We're given:

Because we're given that a and b in total is 163, we can form the following equation:

[tex]a+b=163[/tex]

We're also given that the total sales made is $1221.80. Because we know that 1a = $6.20 and 1b = $9.40, we can also form the following equation:

[tex]6.2a+9.4b=1221.8[/tex]

Here are our two equations:

[tex]a+b=163[/tex]

[tex]6.2a+9.4b=1221.8[/tex]

We can solve using the method of elimination. Multiply both sides by 6.2 in the first equation:

[tex]6.2(a+b)=6.2(163)\\6.2a+6.2b=1010.6[/tex]

Subtract this new equation from the second equation to cancel out a:

[tex]\hspace{10}6.2a+9.4b=1221.8\\- 6.2a+6.2b=1010.6\\\rule{100}{0.5}\\3.2b=211.2[/tex]

Solve for b:

[tex]b=66[/tex]

Therefore, the number of adult tickets sold is 66.

66

Answer:

Decreasing at an increasing rate

Step-by-step explanation:

graph looks like an arch

right side is going down

right side is going down as x increases

Answer:

12×h=p

Step-by-step explanation:

if she works for 12 dollars per hour you multiply the 12 dollars buy the hours she worked to get the p

Answer:

1a. 100, 1b. 22

Step-by-step explanation:

1a. Given information from the question:

[tex] \frac{b}{46} = \frac{50}{23} \\ 23b = (50)(46) \: (cross \: multiply) \\ b = \frac{50 \times 46}{23} \\ = 50 \times 2 \\ = 100[/tex]

1b. Given information from the question:

[tex] \frac{34}{d} = \frac{68}{44} \\ 68d = (34)(44) \: (cross \: multiply)\\ \\ d = \frac{34 \times 44}{68} \\ d = \frac{44}{2} \\ = 22[/tex]

Answer:

• [tex]b = \bf 100[/tex]

• [tex]d = \bf 22[/tex]

Step-by-step explanation:

To solve these questions, we need to rearrange the equations to make the unknown variables the subject of the equations.

1a.

[tex]\frac{b}{46} = \frac{50}{23}[/tex]

⇒ [tex]b = \frac{50 \times 46}{23}[/tex]             [multiplying both sides by 46]

⇒ [tex]b = \bf 100[/tex]

1b.

[tex]\frac{34}{d} = \frac{68}{44}[/tex]

⇒ [tex]34 = \frac{68 \times d}{44}[/tex]               [multiplying both sides by d]

⇒ [tex]34 \times 44 = 68 \times d[/tex]    [multiplying both sides by 44]

⇒ [tex]\frac {34 \times 44}{68} = d[/tex]               [dividing both sides by 68]

⇒ [tex]d = \bf 22[/tex]

Explanation:

The area of the circle with radius 10 is...

A = pi*r^2

A = pi*10^2

A = 100pi

The surface area of the sphere with radius 5 is...

SA = 4pi*r^2

SA = 4pi*5^2

SA = 100pi

Both results are the same, so the claim is true. We can think of surface area as the amount of wrapping paper needed to cover the sphere.

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]

Radius of smaller circle = 25 in

Radius of larger circle = 25 + 13 = 38 in

Area of ring : Area of larger circle - Area of smaller circle

[tex]\qquad❖ \: \sf \:\pi {(38)}^{2} - \pi {(25)}^{2} [/tex]

[tex]\qquad❖ \: \sf \:\pi( {38}^{2} - 25 {}^{2} )[/tex]

[tex]\qquad❖ \: \sf \:3.14(1444 - 625)[/tex]

[tex]\qquad❖ \: \sf \:3.14(819)[/tex]

[tex]\qquad❖ \: \sf \:2571.66 \: \: in {}^{2} [/tex]

[tex] \qquad \large \sf {Conclusion} : [/tex]

Answer:

$14.15

Step-by-step explanation:

6+4+.75+.4

Answer:

The second answer is correct.

Step-by-step explanation:

The graph that matches the polynomial function that has x-Intercepts at -2, ;, and 2 and a relative maximum at x = -1 is: graph A.

We are given that the polynomial function has the following characteristics:

Relative maximum at x = -1, this implies that the peak point of the graph has an x-value that is equal to -1. In order words, the "mountain" is at x = -1.

Graph A has a "mountain" that is at x = -1.

We are given the x-intercepts of the polynomial function as:

-2, 1/2, and 2. This means that the graph intercepts the x-axis at -2, 1/2, and 2.

Graph A in the image attached has x-intercepts of -2, 1/2, and 2.

Therefore, we can conclude that the graph that matches the polynomial function that has x-Intercepts at -2, ;, and 2 and a relative maximum at x = -1 is: graph A.

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Answer:

The answer is 1

Step-by-step explanation:

Formula for finding the slope: [tex]\frac{y2-y1}{x2-x1}[/tex]

Take y2 and y1 from (4,4) (1,1)

Take x2 and x1 from (4,4) (1,1)

[tex]\frac{y2-y1}{x2-x1} = \frac{4-1}{4-1} = \frac{3}{3} = 1[/tex]

This is how the answer is 1

Hope it helps :)

Answer:

2 x 3 x 3 x 5 x 5 x 5 x 5

Step-by-step explanation:

see picture

Answer:

Step-by-step explanation:

6:1 i think

The pencil is longer than the pair of scissors by  [tex]2\frac{7}{8}[/tex] inches.

A pencil measures  [tex]8\frac{3}{8}[/tex]  inches.

A pair of scissors measures  [tex]5\frac{1}{2}[/tex]  inches.

We need to find the difference between the measures of a pencil and the scissors.

We see that the pencil measure is greater than the pair of scissors.

A fraction is a part of a whole number. It has two parts - numerator and denominator.

Example: If you cut a cake into three slices each slice is 1/3.

Where 1 = numerator and 3 = denominator.

Four types of fractions:

Unit fraction - when the numerator is 1.

Proper fraction - When the numerator is less than the denominator.

Improper fraction - When the numerator is greater than the denominator.

Mixed fraction - When the fraction contains a whole number with a proper fraction.

Example:  [tex]3\frac{1}{3}[/tex]

The given measure of the pen and the pair of scissors is in mix fraction.

The pencil measure is longer than the pair of scissors measure so,

We will subtract the measure of the pair of scissors from the measure of the pen.

We have,

       =  [tex]8\frac{3}{8} - 5\frac{1}{2}[/tex]

We can write the mix fraction into an improper fraction.

We multiply the denominator with the whole number and add this product with the numerator to get our numerator of the improper fraction. The denominator will remain the same as the mix fraction in the improper fraction.

So,

[tex]8\frac{3}{8}=\frac{(8\times8)+3}{8}=\frac{64 + 3}{8} = \frac{67}{8}\\ 5\frac{1}{2} =\frac{(5\times2)+1}{2}= \frac{(10+1)}{2} = \frac{11}{2}[/tex]

= 67/8 - 11/2

= (67-44) / 8

= 23 / 8

Writing in mix fraction.

=  [tex]2\frac{7}{8}[/tex]

Thus the pencil is longer than the pair of scissors by  [tex]2\frac{7}{8}[/tex] inches.

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Answer:

120

Step-by-step explanation:

seema 150 marbles

rani 20 more marbles

alok 50 less marble

150+20=170_rani

170-50=120_alok

The dipping sauce which has a stronger mustard flavor between burger barn and be sandwich town is burger barn

Burger bun:

Mustard : honey

= 2 : 4

= 2/4

= 1/2

= 0.5

Sandwich:

Mustard : honey

= 2 : 8

= 2/8

= 1/4

= 0.25

Therefore, burger barn has a more stronger mustard flavor of dipping sauce between burger barn and be sandwich town.

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Answer:

Step-by-step explanation:

The two dipping sauce have same taste.

The required probability of the coin landing tails up at least two times is 15/16.

Given that,
A fair coin is flipped seven times. what is the probability of the coin landing tails up at least two times is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
In the given question,
let's approach inverse operation,
The probability of all tails  = 1 / 2^7 because there is only one way to flip these coins and get no heads.
The probability of getting 1 head = 7 /2^7
Adding both the probability = 8 / 2^7
Probability of the coin landing tails up at least two times = 1 - 8/2^7
                                                                                     = 1 - 8 / 128
                                                                                     = 120 / 128
                                                                                     = 15 / 16

Thus, the required probability of the coin landing tails up at least two times is 15/16.

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Answer: 32 is the answer to the expression you provided.

Step-by-step explanation:

[tex]2^3\times2^2\\2\times2\times2\times2\times2\\4\times4\times2\\16\times2\\\rightarrow32[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{E}\textsf{quation:}[/tex]

[tex]\mathsf{2^3 \times 2^2}[/tex]

[tex]\huge\boxed{S}\textsf{olving:}[/tex]

[tex]\mathsf{2^3 \times 2^2}[/tex]

[tex]\mathsf{= 2\times2\times2 \times2\times2}[/tex]

[tex]\mathsf{= 4\times4\times2}[/tex]

[tex]\mathsf{= 16\times2}[/tex]

[tex]\mathsf{= 32}[/tex]

[tex]\huge\boxed{T}\textsf{herefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{32}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

10

Step-by-step explanation:

Answer:

step 3

Step-by-step explanation:

he should have subtracted 9 to the outside.

whatever you do to the inside you must do to the opposite to the outside

so your final form must be -7(x-3)^2 + 8

Answer:

Height = 6m

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] × 36 = 12

72 ÷ 12 = 6

Answer:

y = -3x + 1

Step-by-step explanation:

First, we can find the slope of the line.

The slope is (change in y)/(change in x).

We can use the points that are marked in orange: (0,1) and (1,-2)

The change in y is 1 to -2, which is -3.

The change in x is 0 to 2, which is 1.

The slope will be -3/1, which is also: -3.

We have y = -3x + b currently.

The b is the y-intercept, meaning (the point that touches the y axis, the vertical line).

The point (0,1) touches the y-intercept, so b will be 1.

We can finish our equation as: y = -3x + 1

The sinusoidal equation will be Y=4.25 sin[(π/26)(t-11)]+12.25

The following can be deduced:

Function Y=Asin(wt-Φ)+β

Amplitude A=(16.5-8)/2=4.25 hours

Vertical shift  β= (16.5+8)/2=12.25

Period is 52 weeks, thus 52=2π/ω→ω=2π/52=π/26

The phase shift Φ can be gotten if we divide the whole year in 4 sub-intervals each interval would be :

[0,13], [13,26],[26,39],[39,52]

The summer solstice occurs at the end of week 24.

The winter solstice occurs at the end of week 51.

The maximum of sine function happens at the end of the first sub-interval [0,13]

Here, Φ is 11, thus, the function would be

Y=4.25 sin[(π/26)(t-11)]+12.25.

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Answer:

Step-by-step explanation:

Midpoint a point equidistant from the ends of a line or the extremities of a figure.

To find the midpoint of the line segment with endpoint, use the midpoint formula.

Midpoint formula:

[tex]\Rightarrow: \sf{\dfrac{x_2+x_1}{2}, \dfrac{y_2+y_1}{2} }}}[/tex]

y2=(-10)

y1=16

x2=6

x1=(-4)

Rewrite the problem down.

[tex]\sf{\left(\dfrac{6-4}{2},\:\dfrac{-10+16}{2}\right)}[/tex]

Solve.

6-4=2

2/2=1

-10+16=6

6/2=3

= (1,3)

Therefore, the correct answer is B (1,3).

I hope this helps, let me know if you have any questions.

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