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Kamila [148]
4 years ago
9

Solve for x: 2(x + 3)2 − 4 = 0

Mathematics
1 answer:
alexandr1967 [171]4 years ago
7 0

Answer:

x=-2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(x+3)(2)−4=0

4x+12+−4=0(Distribute)

(4x)+(12+−4)=0(Combine Like Terms)

4x+8=0

4x+8=0

Step 2: Subtract 8 from both sides.

4x+8−8=0−8

4x=−8

Step 3: Divide both sides by 4.

4x/4 =-8/4

x=−2

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Ric sells shirts. It costs him $100 to buy all the shirts and $10, total, to print designs on them. Eric sells each shirt for $4
Lynna [10]
First, you'll want to identify the given in the problem.



It costs 100 dollars to purchase all of the shirts and 10 dollars to print the designs on the shirts. The result being a 110 dolar investment prior to his sales. In addition, each shirt is sold for 4 dollars and this becomes the slope of the equation.



Using this info the following equation can be used to find Eric's profit:

P=4x-110

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Overall, after selling the 20 shirts by plugging 20 in for x we get 80-110. So his profit is -30 dollars.



Hope this helps :)
4 0
3 years ago
Given the complex number z_1=3\big(\cos \frac{14\pi}{15} +i\sin \frac{14\pi}{15}\big)z 1 ​ =3(cos 15 14π ​ +isin 15 14π ​ ) and
mars1129 [50]

The product of <em>z₁ =</em> 3 · (cos 14π/15 + i · sin 14π/15) and <em>z₂ =</em> 3 √3 · (cos 11π/15 + i · sin 11π/15) in <em>rectangular</em> form with fully simplified expressions is <em>z₁ · z₂ =</em> 7.794 - i · 13.5.

<h3>How to determine the product of two complex numbers</h3>

Let be two numbers of the form <em>z = a + i · b</em>, where <em>i =</em> √-1, the product of two of these numbers in <em>rectangular</em> form is described by the following formula:

<em>z₁ · z₂ = (a + i · b) · (c + i · d) = (a · c - b · d) + i · (a · d + b · c)</em>   (1)

If we know that a = 3 · cos 14π/15, b = 3 · sin 14π/15, c = 3√3 · cos 11π/15, d = 3√3 · sin 11π/15, then the result in rectangular form is:

<em>z₁ · z₂ =</em> 7.794 - i · 13.5

The product of <em>z₁ =</em> 3 · (cos 14π/15 + i · sin 14π/15) and <em>z₂ =</em> 3 √3 · (cos 11π/15 + i · sin 11π/15) in <em>rectangular</em> form with fully simplified expressions is <em>z₁ · z₂ =</em> 7.794 - i · 13.5. \blacksquare

<h3>Remark</h3>

The statement presents typing mistakes and is poorly formatted, the correct form is introduced below:

<em>Given the complex number z₁ = 3 · (cos 14π/15 + i · sin 14π/15) and z₂ = 3 √3 · (cos 11π/15 + i · sin 11π/15), express the result of z₁ · z₂ in rectangular form with fully simplified fractions and radicals.</em>

<em />

To learn more on complex numbers, we kindly invite to check this verified question: brainly.com/question/10251853

8 0
2 years ago
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Answer: he will have only one cookie left

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Answer:

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Step-by-step explanation:

1 to the power of anything is still one

1 * 1 * 1 * 1 = 1

8 0
3 years ago
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