The owner of a retail store is tracking his inventory for an annual report. The graph shows the remaining Inventory for a particular item and the
number of days that have passed since the stock was replenished.

Which type of function best models the relationship between the number of days and the inventory remaining?

The Owner Of A Retail Store Is Tracking His Inventory For An Annual Report. The Graph Shows The Remaining

Answers

Answer 1

Answer:

y = -2.8x +69.4

Step-by-step explanation:

Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:

... y -y1 = (y2-y1)/(x2 -x1)(x -x1)

Filling in the given point values, we have ...

... y -61 = (33 -61)/(13 -3)(x -3)

Simplifying and adding 61, we get ...

... y = -2.8x +69.4

Answer 2

The linear function which best models the relationship between the number of days and remaining inventory is [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex] .

What is linear function?

A linear function refers to when the dependent variable (usually expressed by 'y') changes by a constant amount as the independent variable (usually 'x') also changes by a constant amount.

According to the given equation

We have a graph which shows the remaining inventory.

In which x represents the number of days and y represents the inventory remaining.

Let y = mx + b be the linear function which represents the relationship between the number of days and the inventory remaining.

Form the given graph if we choose two points (14, 30) and (2, 65) for finding the value of m and b.

Substitute y = 30 and x = 14 in y = mx + b

⇒ [tex]30 = m(14) + b...(i)[/tex]

Similarly,

substitute y =65 and x =2 in y = mx + b

⇒[tex]65 = 2m + b..(ii)[/tex]

From equation (i) and (ii)

[tex]m = \frac{-35}{12}[/tex]

and [tex]\frac{50}{3}[/tex]

Therefore, [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex]

Hence, the linear function which best models the relationship between the number of days and remaining inventory is [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex] .

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Related Questions

Clara writes the equation (x â€"" 13)(x 8) = 196 to solve for the missing side length of a rectangle represented by the factor x 8. What is the missing side length represented by x 8 units of the rectangle? 7 15 20 28.

Answers

Answer:

The Answer is 28.  Please mark the brainliest! And thanks!

Step-by-step explanation:

Did with a teacher!

what is this matrix called
[2,5,6]​

Answers

Answer:

The dimension of a matrix is indicated with R × C where R is the number of rows in the matrix and C is the number of columns. When a matrix has the same number of rows as columns, then it's a square matrix. Matrices with just one row are called row matrices, and those with only one column are column matrices.

How do I solve this :
3x + y= 1 and x - 2y = 5​

Answers

Answer:

(1,-2)

Step-by-step explanation:

x - 2y = 5

3x + y= 1 (1)

x - 2y = 5

x = 5 + 2y (2)

Substitute (2) into (1)

3x + y = 1

3(5 + 2y) +y = 1

15 + 6y + y = 1

15 + 7y = 1

7y = 1 - 15

7y = -14

y = -2  (3)

Plug (3) into (1) to find x

3x + y = 1

3x + (-2) = 1

3x - 2 = 1

3x = 3

x = 1

(1,-2)

y=2x+3=
please help me i have test

Answers

standard for for this is 2x-y= -3

[tex] \: \: \: \: \: [/tex]

[tex] = \: \: \: x = - \frac{3}{2 } \\ \\ [/tex]

hope it helps

refer to attachment

[tex] \: \: \: \: \: [/tex]

What is the equation of the line on the graph? Write your answer in slope-intercept form. (y = mx + b)

Don't forget to simply if you can!

Answers

Answer:

y= ⅔x -2

Step-by-step explanation:

slope-intercept form

y= mx +b, where m is the slope and b is the y-intercept.

Two given coordinates: (-3, -4) and (6, 2)

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

Slope

[tex] = \frac{2 - ( - 4)}{6 - ( - 3)} [/tex]

[tex] = \frac{2 + 4}{6 + 3} [/tex]

[tex] = \frac{6}{9} [/tex]

[tex] = \frac{2}{3} [/tex]

Substitute m= ⅔ into the equation:

y= ⅔x +b

From the graph, the y- intercept is -2 since the line cuts through the x-axis at (0, -2).

Alternatively, we can also substitute a pair of coordinates into the equation to find the value of b.

When x= 6, y= 2,

[tex]2 = \frac{2}{3} (6) + b[/tex]

2= 4 +b

b= 2 -4

b= -2

Thus the equation of the line is y= ⅔x -2.

What is the area of the following triangle in square meters? Do not round your answer. A =

WITH THE RIGHT ANSWER WILL RECEIVE BRAINLIEST

Answers

Answer:

0.324 m²

Step-by-step explanation:

To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2

54 cm is the base, dashed is the height which is 1.2 m, we convert 54 cm into meters (54 cm = 0.54 m)

and we apply the formula

1.2 * 0.54 : 2 =

0.324 m²

Answer:

32.4? or 0.324 m²

Step-by-step explanation:

A rectangle has an area of 1,450.8 square inches and a base of 37.2 inches. What is the height?

Answers

Answer:

39

Step-by-step explanation:

1450.8 / 37.2 = 39

7 2/9 + -5 1/5 =
show your work, show me how you got this answer

Answers

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

Find LCM of the denominators and find equivalent fraction.

Now, subtract

[tex]7\dfrac{2}{9}=\dfrac{(7*9)+2}{9}=\dfrac{63+2}{9}=\dfrac{65}{9}[/tex]

[tex]5\dfrac{1}{5}=\dfrac{26}{5}[/tex]

LCM of 9 and 5 = 45

[tex]\dfrac{65}{9}*\dfrac{5}{5}=\dfrac{325}{45}[/tex]

[tex]\dfrac{26}{5}*\dfrac{9}{9}=\dfrac{234}{45}[/tex]

[tex]7\dfrac{2}{9}- 5\dfrac{1}{5}=\dfrac{65}{9}-\dfrac{26}{5}\\\\ =\dfrac{65*5}{9*5}-\dfrac{26*9}{5*9}\\\\\\=\dfrac{325}{45}-\dfrac{234}{45}\\\\\\=\dfrac{325-234}{45}\\\\\\=\dfrac{91}{45}\\\\\\=2\dfrac{1}{45}[/tex]

what is 800 x 900 x 500????

Answers

Answer:

its: 360,000,000

Step-by-step explanation:

good luck

Answer:

[tex]3.6 \times {10}^{8} [/tex]

Step-by-step explanation:

[tex]800 \times 900 \times 500 \\ = 8 \times 9 \times 5 \times {10}^{6} \\ = 360 \times {10}^{6} \\ = 3.6 \times {10}^{8} [/tex]

In the diagram below, \overline{ST} ST is parallel to \overline{PQ} PQ. If STST is 55 more than QTQT, RT=10RT=10, and PQ=15PQ=15, find the length of \overline{QT} QT. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.PQRTS

Answers

The length of the [tex]\overline{QT}[/tex] can be determined using the given information and

the relationship between corresponding sides of similar triangles.

[tex]\underline{\overline{QT} = 5}[/tex]

Reasons:

The given parameters are;

[tex]\overline{ST} \parallel \overline{PQ}[/tex]

ST = QT + 5

RT = 10

PQ = 15

Required: The length of [tex]\overline{QT}[/tex]

Solution:

Using the relationship between corresponding sides of similar triangles, ΔRST and ΔRPQ, we have;

[tex]\displaystyle \frac{\overline{ST}}{\overline{RT}} = \mathbf{\frac{\overline{PQ}}{\overline{RQ}}}[/tex]

RQ = QT + RT

Therefore;

[tex]\displaystyle \frac{\overline{ST}}{\overline{RT}} = \mathbf{\frac{\overline{PQ}}{\overline{QT} + \overline{RT}}}[/tex]

Which gives;

[tex]\displaystyle \frac{\overline{QT} + 5}{\overline{RT}} = \frac{\overline{PQ}}{\overline{QT} + \overline{RT}}[/tex]

Plugging in the known values gives;

[tex]\displaystyle \frac{\overline{QT} + 5}{10} = \mathbf{\frac{15}{\overline{QT} + 10}}[/tex]

[tex](\overline{QT} + 5) \times (\overline{QT} + 10) = 10 \times 15[/tex]

[tex]\overline{QT}^2 + 10\cdot \overline{QT} + 5\cdot \overline{QT} + 50 = 10 \times 15[/tex]

[tex]\overline{QT}^2 + 15\cdot \overline{QT} + 50 - 150= 0[/tex]

[tex]\mathbf{\overline{QT}^2 + 15\cdot \overline{QT} -100} = 0[/tex]

Factorizing with a graphing calculator gives;

[tex](\overline{QT} -5) \cdot (\overline{QT} + 20)= 0[/tex]

[tex]\mathbf{\overline{QT} = 5} \ or \ \overline{QT} = -20[/tex]

Therefore, given that [tex]\overline{QT}[/tex] is a natural number, we have;

[tex]\underline{\overline{QT} = 5}[/tex]

Learn more about similar triangles here:

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If I add 60 to 325 and then subtract 40, the answer I get will be equal to

Answers

Answer:

345

Step-by-step explanation:

On adding 60 to 325 and then subtracting 40 the answer will be 345.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given numbers 60, 325, and 40. The expression will be formed as below:-

E = 60 + 325 - 40
E = 385 - 40

E = 345

Therefore, on adding 60 to 325 and then subtracting 40 the answer will be 345.

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SOS need help on this question

Answers

Answer:

x < 4

Step-by-step explanation:

3x - 3 < 9

3x - 3 + 3 < 9 + 3

3x < 12

[tex]\frac{3x}{3} <\frac{12}{3}[/tex]

x < 4

Answer:

the answer is x is less than 4

Step-by-step explanation:

3x-3<9

3x-3+3<9+3

-3deleted by +3

so we get 3x<12. over 3 over 3 and we got

x<4

POINT out the correct ANSWER (Free_

You get 35 points for free by answering one question
How many points do you get by answering this question?

Answers

Answer:

40...................................

Answer:

35 points because you said so O-O

Match the following equation to the correct situation.

Answers

Answer:

D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

hope it can help you lovelots

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS PLS ANSWER

Answers

Answer:

4

Step-by-step explanation:

I think if not sorry

7x + 2y = -7
11x + 5y = 2

Answers

Answer:

x=−3 and y=7

Step-by-step explanation Solve: 7x+2y=−7for x:

7x+2y=−7

7x+2y+−2y=−7+−2y(Add -2y to both sides)

7x=−2y−7

7x

7

=

−2y−7

7

(Divide both sides by 7)

x=

−2

7

y−1

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

−2

7

y−1forxin11x+5y=2:

11x+5y=2

11(

−2

7

y−1)+5y=2

13

7

y−11=2(Simplify both sides of the equation)

13

7

y−11+11=2+11(Add 11 to both sides)

13

7

y=13

13

7

y

13

7

=

13

13

7

(Divide both sides by 13/7)

y=7

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

Substitute7foryinx=

−2

7

y−1:

x=

−2

7

y−1

x=

−2

7

(7)−1

x=−3(Simplify both sides of the equation)

The HCF of 50 and 80​

Answers

Highest common factor, im assuming, would be 10. 10 is the highest number that divides evenly into both 50 and 80.

Joyce buys a bus pass for the month of march for $32.55.How much does the bus pass cost per day?

Answers

Answer 1.085

dd

sa

d

sd

a

ds

d

The bus pass cost per day will be $1.05 per day.

What is the rate?

The rate is the ratio of the amount of something to a certain unit.

For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Parenthesis, Exponent, Multiplier, Division, Adding, and Subtraction is referred to as the PEMDAS rule. To answer the problem properly and accurately, this rule is applied.

Joyce buys a bus pass for the month of March for $32.55.

In March month, there are 31 days. Then the bus pass cost per day is given by dividing the cost of $32.55 by 31.

⇒ $32.55 / 31

⇒ $1.05 per day

The bus pass cost per day will be $1.05 per day.

More about the rate link is given below.

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pls help quick :( worth 20 pts

Answers

Answer:

Answer A

Step-by-step explanation:

From the image, it looks like the answer is y<1/2x+2 because the shading of the line is below, as well as the points of interception are 4 and 2. I hope this helps!

im so confused can someone help me please

Answers

Answer:

1. false

2. false

3. false

4. true

Step-by-step explanation:

a quadritilateral always has 4 sides, but it dpesnt HAVE to be a square

a parrellelogram can be any shap as long as its parrelel

a rhombus is always a square, becuase if you turn it around... VIOLA! you get a square.

In a 30 minute show 12 minutes of airtime are spent on commercials. Determine what percent of the television show air time is spent on commercial

Answers

12 out of 30 minutes are commercials
The fraction would be 12/30 which can be simplified to
2/5

which is 40%

Match the terms to their definition.
1. the result of a transformation on a point or figure
2. a transformation that preserves distance
the flipping of a plane about a fixed line; a transformation
3.
resulting in a mirror image over a line
the process of setting up correspondence between the
4. elements by of two sets so that every element of the first set corresponds to a unique element in the second set

Isometry
Image
Reflection
Transformation

Answers

I believe the numbers didn't fully correspond with the definitions so I tried my best to fix them and then match them.

Answer:

Isometry = 2: A transformation that preserves distance.

Image = 1: The result of a transformation on a point or figure.

Reflection = 3: The flipping of a plane about a fixed line; a transformation resulting in a mirror image over a line.

Transformation = 4: The process of setting up correspondence between the elements of two sets so that every element of the first set corresponds to a unique element in the second set.

Please help with this

Answers

Answer:

AAA?

Step-by-step explanation

PLZ HELP!!!!!!!!!!!!!!​

Answers

Answer:

183in^2

Step-by-step explanation:

Given that the length is 15 in and the width is 26 in we can figure out the area of a full rectangle.

15x26=390in

We now want to figure out the small rectangle on the bottom of the image.

The area of a triangle is A=hb/2

A=6x15/2=45

In the image, you can see that the rectangle is incomplete and missing part of it. It's missing a triangle so in order to complete the rectangle you multiply 45x2.

45x2=90

Finally, we can solve for the remaining triangle.

A=9x26/2=117

Add up the triangles and subtract the sum from the area of the rectangle to get the shaded area.

390-(90+117)=183in^2

Hope this helps :)

Solve the following system of equations graphically on the set of axes below.y= \frac{1}{4}x+5y=41​x+5y= -x-5y=−x−5

Answers

Answer:

b

Step-by-step explanation:

Jamie and Raul both work at the Pizza House. Together, they work a total of 15 hours per week. Raul works 3 more than twice the hours as Jamie. How many hours does Jamie work per week?



Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

List the facts phrase by phrase.

Total = 15 hours

Let Raul's hours = x

Let Jamie's hours = y

Total = x + y = 15

x = 3 + 2y

From total, find x

x+ y = 15                    Subtract y from both sides.

x = 15 - y                   Put the value for x in x = 3+ 2y

3 + 2y = 15 - y           Subtract 3 from both sides

2y = 15 - 3-y            Combine

2y = 12 - y                Add y to both sides.

2y + y = 12                  Combine

3y = 12

y =  12 / 3

y = 4

Jamie worked 4 hours

Raul worked 11

suppose that prices of a certain model of new homes are normally distributed with a mean of 150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid between 150,000 and 154,200, if the standard deviation is 1,400. a.) 49.85% b.) 47.5% c.) 34% d.) 99.7%

Answers

49.85% of buyers paid between 150,000 and 154,200

The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are are within three standard deviation from the mean.

Given that mean (μ) = 150000, standard deviation σ = 1400

68% are within one standard deviation = μ ± σ = 150000 ± 1400 = (148600, 151400)

95% are within two standard deviation = μ ± 2σ = 150000 ± 2 * 1400 = (147200, 152800)

99.7% are within three standard deviation = μ ± 3σ = 150000 ± 3 * 1400 = (145800, 154200)

The buyers who paid between 150,000 and 154,200 = 99.7%/2 = 49.85%

Hence 49.85% of buyers paid between 150,000 and 154,200

Find out more at: https://brainly.com/question/12660012

Which elements are involved in physical weathering?

Air, salt, rivers, sand, and ice
Air, water, ice, temperature, and plants
Animals, water, pressure, sediment, and gravity
Temperature, animals, ice, gravity, and plants

Answers

Answer:

heat, water, ice, or other agents

Step-by-step explanation:

Air salt rivers sand and ice

Solve the system by substitution
y=-8x -24
y=-4x

Answers

Answer: 8

Step-by-step explanation:

plug y into the first equation:

8x+5y=24

8x+5(-4x)=24

8x-20x=24

-12x=24

x=-24/12

x=-2

then plug x to the second equation

y=-4

y=-4(-2)

y=8

x=-2

y=8

Answer:

(- 6, 24 )

Step-by-step explanation:

y = - 8x - 24 → (1)

y = - 4x → (2)

Substitute y = - 4x into (1)

- 4x = - 8x - 24 ( add 8x to both sides )

4x = - 24 ( divide both sides by 4 )

x = - 6

Substitute x = - 6 into either of the 2 equations and evaluate for y

Substituting into (2)

y = - 4(- 6) = 24

solution is (- 6, 24 )

ROUND TO THE NEAREST WHOLE NUMBER

16968.3

Answers

Answer:

16968

Step-by-step explanation:

Answer:

16,968

Hope this helps :)

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