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Kay [80]
3 years ago
10

The solutions of x^2=16x-28 are

Mathematics
1 answer:
Shalnov [3]3 years ago
4 0

Answer:

the solutions of x^2=16x-28 are

2) 2 and 14

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Suppose the roots of the equation 2x^2−5x−6=0 are α and β.Find the quadratic equation with roots 1/α and 1/β.​
pochemuha

Answer:

6x² + 5x - 2 = 0

Step-by-step explanation:

Given

2x² - 5x - 6 = 0 ← in standard form

with a = 2, b = - 5, c = - 6, then

sum of roots α + β = - \frac{b}{a} = \frac{5}{2}

product of roots = \frac{c}{a} = - 3, then

sum of new roots = \frac{1}{\alpha } + \frac{1}{\beta }

= \frac{\beta+\alpha  }{\alpha \beta }

= \frac{\frac{5}{2} }{-3} = - \frac{5}{6}

product of new roots = \frac{1}{\alpha } × \frac{1}{\beta }

= \frac{1}{\alpha\beta  } = - \frac{1}{3}

Hence the required equation is

x² + \frac{5}{6} x - \frac{1}{3} = 0 or

6x² + 5x - 2 = 0 ( multiplying through by 6 )

                           

8 0
3 years ago
Let f be the function given by f(x)=ln x/x for all x 0. the derivative of f is given by
Dmitriy789 [7]
Using the quotient rule

f'(x)  =   x * 1/x  - ln x          1 - ln x
            -----------------   =      ---------  <-------- ur answer
                  x^2                     x^2
6 0
3 years ago
Walt is mixing fruit punch for a party. He combines 1 gallon 2 quarts 3 pints of orange juice 1 gallon 3 quarts 7 pints of pinea
Vlad [161]
So he's mixing: 

1 gallon 2 quarts 3 pints of orange juice
1 gallon 3 quarts 7 pints of pineapple juice and
1 gallon 3 <span> quarts 3 pints of ginger ale

that's:

3 gallons 8 quarts and 13 pints.

2 pints make a quart, so 13 pints make 6 quarts and 1 pint, so actually it's:

</span><span>3 gallons 8+6=14 quarts and 1 pint.
4 quarts are a gallon, and 14 quarts are 3 gallons 2 quarts, so the final answer is:

</span>
<span>3+3=6 gallons 2 quarts and 1 pint. </span>

4 0
3 years ago
Fish
Minchanka [31]

Answer:

a 5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Ellen is excited to learn how to ski. She went to White Peaks Mountain, rented a pair of skis for $45, and took 4 hours of group
Vikentia [17]

Answer:

x=30h

Step-by-step explanation:

First, you need to figure out how much she actually paid for lessons, so you need to subtract 45 from 165.

165-45=120

Now you know she paid 120 dollars in total for lessons.

You know she took four hours of lessons, so you divide 120 by 4.

120/4=30

It takes $30 an hour for lessons.

Now you can form an equation.

Since you know it takes $30 per hour of lessons, it will be 30h.

x is the full amount of money paid

You don't need to add 165-45 to your equation because not everyone will need to rent skis when they come to White Peaks.

Hope this helps!

6 0
3 years ago
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