Subtract 5 to both sides so that the equation becomes -2x^2 + 6x - 1 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -6 ± √((6)^2 - 4(-2)(-1)) ] / ( 2(-2) )
x = [-6 ± √(36 - (8) ) ] / ( -4 )
x = [-6 ± √(28) ] / (-4)
x = [-6 ± 2*sqrt(7) ] / (-4 )
x =3/2 ± -sqrt(7)/ 2
The answers are 3/2 + sqrt(7)/2 and 3/2 - sqrt(7)/2.
Answer:
x=35
Step-by-step explanation:
3x+7+68=180
3x+75=180
3x=105
x=35
Answer: the widget would be sold for $84.3
Step-by-step explanation:
The amount of profit, y made by the company, is related to the selling price of each widget, x, by the given equation which is expressed as
y = - x² + 77x - 615
At the point of breaking even, profit = 0. This means that
- x² + 77x - 615 = 0
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = - 1
b = 77
c = - 615
Therefore,
x = [- 77 ± √(77² - 4 × - 1 × - 615)]/2 × + 1
x = [- 77 ± √(8389)]/- 2
x = (- 77 + 91.59)/2 or x = (- 77 - 91.59)/- 2
x = - 7.295 or x = 84.3
Since the price cannot be negative, then x = $84.3
The total outcomes of creating a password is 20
<h3>How to determine the total outcomes creating different passwords with the given characters and numbers?</h3>
The given parameters are
Letters = 3
Digits = 5 digits i.e 0, 2, 4, 6, or 8.
From the question, the digits and the letters cannot be repeated.
So, we have:
Possible letters = 3 characters (position fixed)
Digits = 2 numbers
So, the total outcomes of creating different passwords is
Total = 1 * 1 * 1 * 5 * 4
Evaluate the product
Total = 20
Hence, the total outcomes of creating a password is 20
Read more about combination at:
brainly.com/question/11732255
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8,9,10,11,11,14,18,28,28,29,40,41,41,44,45,47,55 which histogram represents data
Elenna [48]
Answer:
did this b4
Step-by-step explanation:
I used bars of width 10. There are 3 values from 0-9; 4 values from 10-19; 3 values from 20-29; 0 values from 30-39; 6 values from 40-49; and 1 value from 50-59.
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