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Zarrin [17]
3 years ago
7

Convert to slope intercept form y-4=6(x-3)

Mathematics
1 answer:
Contact [7]3 years ago
8 0

Answer:

y = 6x - 14

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

Equality Properties

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

[Point-Slope Form]   y - 4 = 6(x - 3)

<u>Step 2: Rewrite</u>

<em>Find Slope-Intercept Form.</em>

  1. Distribute 6:                    y - 4 = 6x - 18
  2. Isolate <em>y</em>:                          y = 6x - 14
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Imagine you have some workers and some handheld computers that you can use to take inventory at a warehouse. There are diminishi
Svet_ta [14]

Answer:

a. $1.03

b. $0.93

c. 0.98

d. 2 workers

Step-by-step explanation:

a. Given that:

  • 1 computer : 1 worker : inventory 150 items per hour
  • 1 computer : 2 workers : inventory 200 items per hour
  • 1 computer : 3 workers : inventory 220 items per hour
  • 1 computer : 4+ workers : fewer than 235 items per hour
  • Cost: $100 per computer ; $25 per worker

The fixed production factor in the warehouse is the computer used:

-One computer used, but the number of users is varied to inventory a specified number of items.

-The variable production factor is the number of workers assigned per one computer.

#The cost of inventorying a single item by one worker is:

Cost=\frac{C_{pc}+Wage}{Items} \ , C_{pc}=\$125\\\\Cost_1=\frac{125+30}{150}\\\\\\=1.03

Hence, the cost of inventorying a single item is $1.03

b. Using the information provided above, the cost of inventorying a single item when two workers are assigned is :

Cost=\frac{C_{pc}+Wage}{Items} \ , C_{pc}=\$125\\\\Cost_2=\frac{125+2\times30}{200}\\\\\\=0.925

Hence, the cost of inventorying a single item is $0.93

c.Using the information provided above, the cost of inventorying a single item when three workers are assigned is :

Cost=\frac{C_{pc}+Wage}{Items} \ , C_{pc}=\$125\\\\Cost_3=\frac{125+3\times30}{220}\\\\\\=0.98

Hence, the cost of inventorying a single item is $0.98

d. To determine the most cost-effective job assignment, we calculate the cost of 4+ workers.

Take any number less than 235(say 234) as the inventory units:

Cost=\frac{C_{pc}+Wage}{Items} \ , C_{pc}=\$125\\\\Cost_4=\frac{125+4\times30}{234}\\\\\\=1.05

From our calculations, it's clear that two workers per computer costs the least amount($0.93) per unit item. Hence, it is best to assign two workers per computer.

4 0
3 years ago
Use distributive property to solve this problem 3(x+4)=36
olya-2409 [2.1K]

Answer:

x=8

Step-by-step explanation:

3(x+4)=36

Divide each side by 3

3/3 (x+4)=36/3

x+4 = 12

Subtract 4 from each side

x+4-4 = 12-4

x = 8

4 0
3 years ago
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9+15÷3(2)-6<br> Please help me
Firlakuza [10]

Answer:

13

Step-by-step explanation:

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Arlene Frank is saving money for her college
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The range, a measure of variability, Group of answer choices is the difference between the largest (L) and smallest (S) value in
Vlad [161]

<u>The correct answer is </u><u>all of the above.</u>

Why is the range the most convenient measure of variability?

  • Your data's spread from the lowest to the greatest value in the distribution is indicated by the range.
  • The calculation of this variability index is the simplest.
  • Simply subtract the lowest value from the highest value in the data set to determine the range.

How do you find the range?

  • The difference between the lowest and highest values in a list or set is known as the range.
  • Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest.
  • The range of the list is provided in the response.

Learn more about range

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1 year ago
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