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3 years ago

Solve the equation V - E + F = 2 for E

1 answer:

5 0

V + f − e = 2
Add -2+e to both sides. 

v + f − e -2+e = 2 -2+e 
On simplification, we get 
v + f − 2 = e 

Yes, that is the solution for e.

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What are the solutions to the equation 2(x-3)^2=54 ?

erastova [34]

Answer:

x =(6-√108)/2=3-3√ 3 = -2.196

x =(6+√108)/2=3+3√ 3 = 8.196

Step-by-step explanation:

Step 1 :

Equation at the end of step 1 :

2 • (x - 3)2 - 54 = 0

Step 2 :

2.1 Evaluate : (x-3)2 = x2-6x+9

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

2x2 - 12x - 36 = 2 • (x2 - 6x - 18)

Adding 9 has completed the left hand side into a perfect square :

x2-6x+9 =

(x-3) • (x-3) =

(x-3)2 (x-3)1 =

x-3

Now, applying the Square Root Principle to Eq. #4.3.1 we get:

x-3 = √ 27

Add 3 to both sides to obtain:

x = 3 + √ 27

Since a square root has two values, one positive and the other negative

x2 - 6x - 18 = 0

has two solutions:

x = 3 + √ 27

x = 3 - √ 27

Solve Quadratic Equation using the Quadratic Formula

4.4 Solving x2-6x-18 = 0 by the Quadratic Formula .

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC

x = ————————

In our case, A = 1

B = -6

C = -18

Accordingly, B2 - 4AC =

36 - (-72) =

108

Applying the quadratic formula :

6 ± √ 108

x = —————

Can √ 108 be simplified ?

Yes! The prime factorization of 108 is

2•2•3•3•3

To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).

√ 108 = √ 2•2•3•3•3 =2•3•√ 3 =

± 6 • √ 3

√ 3 , rounded to 4 decimal digits, is 1.7321

So now we are looking at:

x = ( 6 ± 6 • 1.732 ) / 2

Two real solutions:

x =(6+√108)/2=3+3√ 3 = 8.196

or:

x =(6-√108)/2=3-3√ 3 = -2.196

7 0

3 years ago

How much profit does the company make from producing and selling four soccer nets? $51 $80 $109 $137.

Oksanka [162]

The profit does the company make from producing and selling four soccer nets is $109, the correct option is C.

<h3>What is profit?</h3>

Profit is a financial benefit that is realized when the amount of revenue gained from a business activity.

Given

|Soccer nets per day | Total Cost | Total Revenue |

| 1 | 7$ | $30 |

| 2 | 9$ | $60 |

| 3 | 10$ | $90 |

| 4 | 11$ | $120 |

| 5 | 13$ | $150 |

The total cost in the four soccer = $11

The total revenue in the four soccer = $120

The profit does the company make from producing and selling four soccer nets is;

$\rm Profit = Total \ revenue -Total \ cost\\\\Profit= 120-11\\\\Profit = 109$

Hence, the profit does the company make from producing and selling four soccer nets is $109.

To know more about profit click the link given below.

brainly.com/question/6402318

4 0

2 years ago

2x-5>7 a.x>6 b.x>12 c.x<12

umka2103 [35]

It would be Answer A) x>6

7 0

3 years ago

Read 2 more answers

Can someone help with this?

sammy [17]

Just go to were the line intercepts the y axis so -2 and rise over run so 2 up and 2 over but its negative so C should be correct.

6 0

2 years ago

Read 2 more answers

Solve for x in the equation x^2-8x+41=0?

Angelina_Jolie [31]

X = [-(-8) +/- sqrt((-8)^2 -4*41)] / 2

x = ( 8 + sqrt (-100) / 2 and (8 - sqrt(-100) / 2

4 +or- 5i

6 0

3 years ago