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alekssr [168]
3 years ago
13

X = 4y + 3, 2x + y = -3 System of Equations

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
3 0

Answer:

(- 1, - 1 )

Step-by-step explanation:

Given the 2 equations

x = 4y + 3 → (1)

2x + y = - 3 → (2)

Substitute x = 4y + 3 into (2)

2(4y + 3) + y = - 3 ← distribute parenthesis and simplify left side

8y + 6 + y = - 3

9y + 6 = - 3 ( subtract 6 from both sides )

9y = - 9 ( divide both sides by 9 )

y = - 1

Substitute y = - 1 into (1) for corresponding value of x

x = 4(- 1) + 3 = - 4 + 3 = - 1

solution is (- 1, - 1 )

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8 0
3 years ago
A textile mill wishes to establish a control procedure on flaws in towels it manufactures. Using an inspection unit of 50 units,
Natasha_Volkova [10]

Answer:

•A c-chart is the appropriate control chart

• c' = 8.5

• Control limits, CL = 8.5

Lower control limits, LCL = 0

Upper control limits, UCL = 17.25

Step-by-step explanation:

A c chart is a quality control chart used for the number of flaws per unit.

Given:

Past inspection data:

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Total flaws = 850

We now have:

c' = 850/100

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Where CL = c' = 8.5

For control limits, we have:

CL = c'

UCL = c' + 3√c'

LCL = c' - 3√c'

The CL stands for the normal control limit, while the UCL and LCL are the upper and lower control limits respectively

Calculating the various control limits we have:

CL = c'

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LCL = 8.5 - 3√8.5

= -0.25

A negative LCL tend to be 0. Therefore,

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4 0
3 years ago
The cost of Spectrum Internet is $60 per month plus a one time $35 installation fee. How much would it cost to have internet for
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Answer:

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The ratio of green food coloring to blue food coloring is 1:2. we used 6 drops of blue. how many total drops of food coloring di
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The total amount of drops of food coloring is then 9.

Hope this helps! (:
7 0
3 years ago
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