Sophie opens a new restaurant. The function f ff models the restaurant's net worth (in thousands of dollars) as a function of time (in months) after Sophie opens it.

Domain:  [tex]-4 < x \le 4[/tex]

Range:  [tex]-2 \le y < 5[/tex]

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Explanation:

The domain is the set of allowed x values.

The left-most point on this graph is at (-4,5). This means x > -4 or -4 < x. The open hole indicates we don't include x = -4 as part of the domain.

The right most point is at (4,-2). So [tex]x \le 4[/tex]

Combine [tex]-4 < x[/tex] and [tex]x \le 4[/tex] together to get the domain [tex]-4 < x \le 4[/tex]

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The range is the set of possible y values.

The range spans from -2 to 5, including -2 but excluding 5. This is because the smallest y value possible is y = -2, and the upper bound for the y values is y < 5 due to the open hole.

Therefore the range is the compound inequality [tex]-2 \le y < 5[/tex]

Answer: domain - -4

Range- -2

Step-by-step explanation:

Answer:

PR and HA

Step-by-step explanation:

The edges parallel to QT are HA and PR.

Here,

The given figure is rectangular prism.

We have to find the edges parallel to QT.

What are Parallel lines?

Parallel lines are never intersect and always lie in a plane that are always the same distance apart.

Now,

Edge HA and QT are never intersect.

Hence, HA and QT are parallel lines.

Edge PR and QT are never intersect.

Hence, PR and QT are parallel lines.

Therefore, The edges parallel to QT are HA and PR.

Learn more about the parallel lines visit:

https://brainly.com/question/24607467

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Answer:

272.17 ft

Step-by-step explanation:

Since the angle of depression of the sighting equals the angle of elevation of the lighthouse from the boat, using trigonometric ratios,

tanθ = x/d where θ = angle of sighting, x = height of lighthouse =55 ft and d = distance of boat from lighthouse at sighting

So, d = x/tanθ

when θ = 8.1°, for the first sighting,

d₁ = 55/tan8.1 = 386.45 ft

when θ = 25.7°, for the second sighting,

d₂ = 55/tan8.1 = 114.28 ft

The distance the boat traveled between the two sightings is thus d₁ - d₂ = 386.45 ft - 114.28 ft = 272.17 ft

Answer:

-4(v+1)

(-4 X v ) + -4 X 1

-4v + -4

it is your polynomial equation....

Answer:

[tex]\frac{2}{3}[/tex] teaspoons of cinnamon per cup of sugar.

Step-by-step explanation:

A recipe calls for [tex]\frac{3}{4}[/tex] cups of sugar for every [tex]\frac{1}{2}[/tex] teaspoons of cinnamon.

For one cup of sugar;

1 × [tex]\frac{1}{2}[/tex] ÷ [tex]\frac{3}{4}[/tex] = [tex]\frac{1}{2}[/tex] × [tex]\frac{4}{3}[/tex] = [tex]\frac{2}{3}[/tex] teaspoons of cinnamon will be needed.

Answer: 11

Step-by-step explanation: divide the total length of pvc pipe by the individual piece

Answer:

x = -16

Step-by-step explanation:

3x+11 = 2x - 5

x +11 = -5 (Get x's on one side by substracting 2x from both sides)

x= -16 ( substract 11 from both sides to get the answer

Answer:

[tex]x=-16[/tex]

Step-by-step explanation:

[tex]3x+11=2x-5[/tex]

Subtract 11 from both sides:

[tex]\hookrightarrow[/tex] [tex]3x+11-11=2x-5-11[/tex]

[tex]\hookrightarrow 3x=2x-16[/tex]

Subtract 2x from both sides:

[tex]\hookrightarrow 3x-2x=2x-16-2x[/tex]

[tex]\hookrightarrow x=-16[/tex]

_______________________

Answer:

I think it's 19 I'm pretty sure

Answer:

20

Step-by-step explanation:

The first step would be to divide 351 by 18 to see what score he would need to tie his previous record. The answer to that would be 19.5, so if you round to the nearest whole, you would get 20.

Answer:

[tex]x = \frac{4}{9}[/tex]

Step-by-step explanation:

Given

Winning Percentage = 0.444 repeating

Required

Represent as a fraction

Represent the percentage with x

[tex]x = 0.444[/tex]

Convert to fraction

[tex]x = \frac{444}{1000}[/tex]

Next step, is to convert to fraction repeating

To do this, we simply subtract 1 from the denominator

[tex]x = \frac{444}{1000 - 1}[/tex]

[tex]x = \frac{444}{999}[/tex]

Simplify to the lowest term: Divide numerator and denominator by 37

[tex]x = \frac{444/37}{999/37}[/tex]

[tex]x = \frac{12}{27}[/tex]

Simplify to the lowest term: Divide numerator and denominator by 3

[tex]x = \frac{12/3}{27/3}[/tex]

[tex]x = \frac{4}{9}[/tex]

Hence;

There winning fraction is [tex]\frac{4}{9}[/tex]

Answer:

AB = 24

Step-by-step explanation:

BD = 5x – 26

BC = 2x + 1

AC = 43

Using the segment addition postulate, AC = AB + BC.

We know that BD = BC, BD = 5x-26 and BC = 2x+1.  We can set up an equation to find the value of x:

5x - 26 = 2x + 1   Subtract 2x from each side

5x - 26 - 2x = 2x + 1 - 2x

3x-26 = 1  Add 26 to each side

3x-26+26 = 1+26

3x=27  Divide both sides by 3

3x/3 = 27/3

x = 9

This means that BC = 2x + 1 = 2(9) + 1 = 18 + 1 = 19.

We know that AC = AB + BC; using our given information as well as the value of BC we just found, we have

43 = AB + 19  Subtract 19 from each side

43 - 19 = AB + 19 - 19

24 = AB

Answer:

The answer is

Step-by-step explanation:

To find the length of the shorter piece we must first find the total parts

That's

2 + 5 = 7

Looking at the ratio above we can see that 2 is the smaller part which makes it the shorter piece

Now divide 2 by the total parts and multiply by 120

That's

[tex] \frac{2}{7} \times 120 \\ = \frac{240}{7} \\ = 34.285714[/tex]

We have the final answer as

Hope this helps you

Complete question is;

The function ​f(x) = (25000 + 280x)/x models the average cost per unit, f(x), for Electrostuff to manufacture x units of Electrogadget IV. How many units must the company produce to have an average cost per unit of $390?

Answer:

227 units

Step-by-step explanation:

We are given the function;

​f(x) = (25000 + 280x)/x

Where;

f(x) is the average cost per unit

x is the number of units

Now, we want to find out how many units the company must produce to have an average cost per unit of $390.

Thus, plugging $390 for f(x), we have;

390 = (25000 + 280x)/x

When we cross multiply, we get;

390x = 25000 + 280x

390x - 280x = 25000

110x = 25000

x = 25000/110

x ≈ 227

Answer:

624ft^3

Step-by-step explanation:

the formula for volume is lengthxwidthxheight.

so it would be 13x6x8

and that sum is 624ft^3

Answer:

x = 3

Step-by-step explanation:

We know:

10x - 10 = 5 ( x + 1 )

Distribute/ Multiply:

10x -10 = 5x + 5

Rearrange equation:

10x - 5x = 5 + 10

Combine like terms:

5x = 15

Divide:

x = 3

Answer:

Quadrant II

Step-by-step explanation:

Since x < 0 and y > 0, that means the point (x,y) is located to the left and up from the origin, meaning quadrant II.

Cheers.

9.235

"nine and two hundred thirty-five"

You're going to start with the number(s) before and which would be 9 in this case then lake your number(s) after the and, the number would be 235 in this case now you have 9 and 235 replace the and for a decimal and you will get your answer :) 9.235

Answer: 96

Step-by-step explanation:

Answer: 96 inches

Step-by-step explanation:

1 Feet=12 inches

--------------------------------

So.....

8 Feet= 12 × 8 inches

8 Feet= 96 inches

Hope this helps!! :)

Please let me know if you have any question

Answer:

b

Step-by-step explanation:

0.83 * 100 = 83, so 0.83 = 83/100.

But in case you meant the slightly more interesting repeating decimal, 0.8333...:

Let x denote this number. Then

10x = 8.333...

100x = 83.333...

==>  100x - 10x = 83.333... - 8.333...

==>  90x = 83 - 8 = 75

==>  x = 75/90 = 5/6

Answer:

57,750

Step-by-step explanation:

you would take 7% of 55000 which is 3,850 and multiply that by 15 which is 57,750 and that is the final answer

Answer:

32°C

Step-by-step explanation:

 59°C - 27°C = 32°C

Answer:

a repeating decimal can be written as a fraction using algebraic methods, so any repeating decimal is a rational number.

Answer:

repeating decimals are rational becoz they can be written in the form p/q

Step-by-step explanation:

Answer:

4 in, 8 in, 15 in

Step-by-step explanation:

If x, y, z are the three pieces, then:

x + y + z = 27

y = 2x

z = 3 + 3x

Substitute the second and third equations into the first.

x + 2x + 3 + 3x = 27

6x + 3 = 27

6x = 24

x = 4

y = 8

z = 15

Answer:

The inequality for each quantity described is given as follows;

0 ≤ A + B + C + D + E ≤ 50

Step-by-step explanation:

The given information are;

The number of players each team can have = between 3 and 5

The maximum number of points a player can score in each round of the game = 10 points

The number of players in Elena's team = Elena + 4 = 5 players

The total number of points Elena's team earns at the end of the round is given as follows;

0 ≤ A + B + C + D + E ≤ 5 × 10

Where the variables A, B, C, D, and E are the points each of Elena and are  makes such that the minimum points is 0 + 0 + 0 + 0 + 0 = 0 and the maximum point is 10 + 10 + 10 + 10 + 10 = 5 × 10 = 50, which gives;

0 ≤ A + B + C + D + E ≤ 50.

g(x)=x+2

g(5)=?

now

g(5)=5+2

=7

Answer:

Number of two point goals = 169

Number of three point goals = 123

Number of free throws = 139

Step-by-step explanation:

Let the number of two point goals = [tex]x[/tex]

Let the number of three point goals = [tex]y[/tex]

Let the number of free throws = [tex]z[/tex]

As per the given statements:

[tex]x = 2y-77 ...... (1)[/tex]

[tex]z = x-30 ...... (2)[/tex]

Using equation (1):

[tex]z = 2y-107[/tex] ...... (3)

Total number of points from two point goals  = [tex]2x[/tex]

Total number of points from three point goals  = [tex]3y[/tex]

Total number of points from free throws  = [tex]z[/tex]

[tex]2x+3y+z=846[/tex]

using (1) and (3):

[tex]2(2y-77)+3y+2y-107=846\\\Rightarrow 4y-154+5y-107=846\\\Rightarrow 9y-261=846\\\Rightarrow 9y=846+261\\\Rightarrow 9y=1107\\\Rightarrow y =123[/tex]

By (1):

[tex]x = 2\times 123-77 =169[/tex]

By (3):

[tex]z =2\times 123-107 = 139[/tex]

So, answers are:

Number of two point goals = 169

Number of three point goals = 123

Number of free throws = 139

Answer:

There was more precipitation in the year 2010.

Step-by-step explanation:

Here in this question, we have the data for the amount of precipitation received in two different years in a city called Sacramento.

Now, we are tasked with finding in which of the two years was there more precipitation.

From the question, we can identify the following;

in 2010, precipitation was 23 inches

in 2011, precipitation was 17 inches

We can see that 23 inches is greater than 17 inches. So what this mean is that the precipitation in 2010 was more than the precipitation received in 2011.

Answer:

27+6-2=31

Step-by-step explanation: