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Sergio039 [100]
3 years ago
12

Solve for |2x+6|=8 Algebra

Mathematics
2 answers:
Marta_Voda [28]3 years ago
8 0

\frac{2x}{2}=\frac{2}{2}2x+6=8

2x+6-6=8-6

2x=2

\frac{2x}{2}=\frac{2}{2}

x=1

2x+6=-8

2x+6-6=-8-6

2x=-14

\frac{2x}{2}=\frac{-14}{2}

x=-7

x=1 or x=-7 is correct answer.

Hope this helps!

Thanks!

-Charlie

bearhunter [10]3 years ago
7 0

x=1 or x=−7

Hope this helps :)

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The local supermarket buys lettuce each day to ensure really fresh produce. Each morning any lettuce that is left from the previ
jekas [21]

Given Information:

Cost price = $4

Selling price = $10

Salvage value = $1.50

Average demand = μ = 250 boxes

Standard deviation = σ = 34 boxes

Required Information:

Number of lettuce boxes = ?

Answer:

The supermarket should purchase 268 boxes  of lettuce

Step-by-step explanation:

The required number of lettuce boxes that supermarket should purchase is given by

Number of lettuce boxes = μ + (z*σ)

Where μ is the average demand of lettuce boxes, σ is the standard deviation, and z is the z-score which is given by

p = C_us/(C_us + C_os)

The z-score corresponding to probability p will be obtained.

The cost of under stocking is given by

C_us = Selling price - Cost price

C_us = $10 - $4

C_us = $6

The cost of over stocking is given by

C_os = Cost price - Salvage value

C_os = $4 - $1.50

C_os = $2.50

p = C_us/(C_us + C_os)

p = 6/(6 + 2.50)

p = 0.7058

p  = 70.58%

The z-score corresponding to 70.58% probability is approximately 0.54

Number of lettuce boxes = μ + (z*σ)

Number of lettuce boxes = 250 + (0.54*34)

Number of lettuce boxes = 250 + (18.36)

Number of lettuce boxes = 268.36

Number of lettuce boxes ≈ 268

Therefore, the supermarket should purchase 268 boxes of lettuce.

How to use z-table?

Step 1:

In the z-table, find the probability you are looking for and note down the two-digit number of the given row. (e.g 0.5, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table and note down the value in the column for the remaining decimal point in the range of 0.00 to 0.09.

Step 3:

Finally, add the numbers obtained from step 1 and step 2.

8 0
3 years ago
Identify the real and imaginary parts of the complex number. -5 + 6i
Genrish500 [490]
-5 is the real part and 6i is the imaginary part. This can be determined by looking which number has the "i" attached to it. 
4 0
3 years ago
The perimeter of a standard-sized rectangular rug is 36 is 36 ft. the length is 2 ft longer than the width. find the dimensions
evablogger [386]
The formula for the perimeter of a rectangle is P = 2L + 2W, where L is the length and W is the width. Because we don't know either the length or the width we can't solve the problem...too many unknowns.  BUT we do have some information that will help with this problem.  We are told that the length is 2 feet longer than the width, so we can use that: L = W+2.  Now we can make the substitution into the formula along with the value for the perimeter that was given to us: 36=2(W+2) + 2W, and 36 = 2W + 4 + 2W; 36 = 4W + 4; 32 = 4W and W = 8.  Now go back to where you said that the length is 2 feet longer than the width.  If the width is 8, then 8+2 = 10 for the length.
4 0
3 years ago
Matt is ordering basketball jerseys For his country's league. Last year he ordered 512 jerseys. 64 those jerseys were orange. If
Eduardwww [97]

Answer:

75

Step-by-step explanation:

Step 1

Matt is ordering basketball jerseys For his country's league. Last year he ordered 512 jerseys. 64 those jerseys were orange.

The ratio of all Jerseys to Jerseys that are Orange =

512 : 64

8 : 1

Step 2

If he ordered 600 jerseys this year, how many of them will be Orange if the ratio of orange jerseys to all the jerseys remain the same?

Since we are maintaining the ratio in step 1

Let the number of orange jerseys = x

600 : x = 8 : 1

Hence

600/x = 8/1

Cross Multiply

8 × x = 600 × 1

8x = 600

x = 600/8

x = 75

Therefore, this year, the number of orange jerseys = 75

4 0
3 years ago
Write -4x^2-16x-14 in vertex form.
frutty [35]

Answer:

(-2,2)

Step-by-step explanation:

hope this helps :)

5 0
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