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2 years ago

6

On average, Matt's Manufacturing Company produces 130 units in five working days and 650 units in twenty-five working days. In a

linear model of this situation, which of the following statements applies?

1 answer:

Paul [167]2 years ago

6 0

Answer: Additional day is associated with a production of 26 units

Steps:

130 units ---- 5 days

650units ---- 25 days

which shows this is a linear relationship (130 units x 5 = 650 units)

So we can divide the increase (650-130) = 520 by 20 days to get the increase per 1 day: 520 units /20 days = 26 units/day

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use a graphing calculator or other technology to answer the question which quadratic regression equation best fits the data set

Greeley [361]

Answer:

Option C is the correct option.

In other words, the quadratic regression $y=32.86\:\left(x\right)^2-379.14\left(x\right)+1369.14\:$ best fits the data set, as it gets very much close to the data values given in the data table.

The graph of the equation $y=32.86\:\left(x\right)^2-379.14\left(x\right)+1369.14\:$ is also attached.

Step-by-step explanation:

x y

3 470

4 416

5 403

Analyzing Option A:

Considering the equation

$y=32.86\:\left(x\right)^2+379.14\left(x\right)-1369.14\:$

From (3, 470), putting x = 3

$y=32.86\:\left(3\right)^2+379.14\left(3\right)-1369.14\:$

$y=64.02$

From (4, 470), putting x = 4

$y=32.86\:\left(4\right)^2+379.14\left(4\right)-1369.14\:\:$

$y=673.18$

From (5, 403), putting x = 5

$y=32.86\:\left(5\right)^2+379.14\left(5\right)-1369.14\:$

$y=1348.06$

Analyzing Option B:

$y=32.86\:\left(x\right)^2-379.14\left(x\right)$

From (3, 470), putting x = 3

$y=32.86\:\left(3\right)^2-379.14\left(3\right)$

$y=-841.68$

From (4, 470), putting x = 4

$y=32.86\:\left(4\right)^2-379.14\left(4\right)$

$\:y=-990.8$

From (5, 403), putting x = 5

$y=32.86\:\left(5\right)^2-379.14\left(5\right)$

$\:y=-1074.2$

Analyzing Option C:

Considering the equation

$y=32.86\:\left(x\right)^2-379.14\left(x\right)+1369.14\:$

From (3, 470), putting x = 3

$y=32.86\:\left(3\right)^2-379.14\left(3\right)+1369.14\:$

$y=527.46$

So, the approximately result is (3, 527)

From (4, 470), putting x = 4

$y=32.86\:\left(4\right)^2-379.14\left(4\right)+1369.14\:$

$y=378.34$

So, the approximately result is (4, 378)

From (5, 403), putting x = 5

$y=32.86\:\left(5\right)^2-379.14\left(5\right)+1369.14\:\:\:$

$y=294.94$

So, the approximately result is (5, 295)

Analyzing Option D:

Considering the equation

$y=-1369.14\:\left(x\right)^2-379.14\left(x\right)+32.86$

From (3, 470), putting x = 3

$y=-1369.14\:\left(3\right)^2-379.14\left(3\right)+32.86\:\:$

$y=-13426.82$

From (4, 470), putting x = 4

$y=-1369.14\:\left(4\right)^2-379.14\left(4\right)+32.86$

$y=-23389.94$

From (5, 403), putting x = 5

$y=-1369.14\:\left(5\right)^2-379.14\left(5\right)+32.86\:\:$

$y=-36091.34$

Therefore, from the above calculations and analysis, we conclude that Option C is the correct option.

In other words, the quadratic regression $y=32.86\:\left(x\right)^2-379.14\left(x\right)+1369.14\:$ best fits the data set, as it gets very much close to the data values given in the data table.

The graph of the equation $y=32.86\:\left(x\right)^2-379.14\left(x\right)+1369.14\:$ is also attached.

3 0

3 years ago

Antonio pays y dollars per visit to his fitness center and he pays his bills every 3 months . In October he visited the gym 22 t

elena55 [62]

nahhhh im goood. 6235736203274352

6 0

2 years ago

HELP ME PLZ IN NEED THIS DONE BY 8:10

Stella [2.4K]

Answer 16.

Step-by-step explanation:

First you replace the xs with 1/2

(√2•1/2+3)/(6•1/2-5)

Then you solve the multiplications

2•1/2=1

6•1/2=3

Now write them in

(√1+3)/(3-5)

Simplify

(√4)(-2)

Root of 4 equals to

2/-2

And the answer is -1

Answer 17:

Replace x with 8

1/2•8^2-(1/4•8+3)

Solve parenthesis, multiplication first

1/2•8^2-(2+3)

1/2•8^2-(5)

1/2•8^2-5

Solve the 8^2 and the 1/2

1/2•64-5

32-5

The answer is 17

3 0

2 years ago

A rectangular tank measures 30 cm by 20 cm by 40 cm. How many milliliters of water are in the tank when it is full? How many lit

mario62 [17]

Answer:

24000 cm³ or 24 L

Step-by-step explanation:

The measure of a tank is 30 cm by 20 cm by 40 cm.

We need to find the volume of water in the tank when it is full.

Volum = 30 cm × 20 cm × 40 cm

= 24000 cm³

1 cm³ = 1 ml

24000 cm³ = 24000 mL

Also, 1 cm³ = 0.001 ml

24000 cm³ = 24 L

Hence, this is the required solution.

4 0

2 years ago

Please help me answer this question.

Alex787 [66]

1. Change x = 4t into x = 3t

$4t\cdot\frac{3}{4}=3t$ so

$y=(\frac{3}{4}t)^2-1=\frac{9}{16}t^2-1$

Answer A and D are wrong.

2. Change x = 4t into x = 2t

$4t\cdot\frac{1}{2}=2t$ and

$y=(\frac{1}{2}t)^2-1=\frac{t^2}{4}-1$

Answer b is correct.

3. Change x = 4t into x = 8t

$4t\cdot2=8t$ and

$y=(2t)^2-1=4t^2-1$

Answer C. is correct, E. is wrong.

7 0

2 years ago