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juin [17]
3 years ago
9

Help me please !!!!!!!!

Mathematics
1 answer:
Sliva [168]3 years ago
3 0
You asked your question yesterday so you don't need an answer anymore
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The sum of a number and its reciprocal is 5/2 Find the number and its reciprocal.
sergiy2304 [10]

Answer:

Step-by-step explanation:

Let the number be 'x'

Reciprocal = \frac{1}{x}

x+\frac{1}{x}=\frac{5}{2}\\\\\frac{x*x}{1*x}+\frac{1}{x}=\frac{5}{2}\\\\\frac{x^{2}+1}{x}=\frac{5}{2}

Cross multiply

(x² + 1) *2 = 5*x

2x² + 2 = 5x

2x² - 5x + 2 =0

Factorize the equation,

Sum = -5

Product = 4

Factors = -1 , -4

2x² - x - 4x + 2 = 0

x(2x - 1) - 2(2x - 1) = 0

(2x -1 )(x - 2) = 0

2x - 1 = 0               ; x -2 = 0

    2x =1                ; x = 2

       x = 1/2

Number = 2 , and its reciprocal = 1/2

6 0
3 years ago
Deanna borrowed $650 at 8% 0 simple interest. How much - 52 interest did she pay for 1 year?​
Ronch [10]

Answer:

i = ($650)(0.08)(1) = $52

Step-by-step explanation:

The formula for simple interest is i = prt.  Here p = $650, r = 0.08 and t = 1 (year).  Then the simple interest Deanna paid for this one year loan was

i = ($650)(0.08)(1) = $52

7 0
3 years ago
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30 to 50 feet ratio in lowest form
sergiy2304 [10]
3 to 5 feet is the ratio in lowest form
8 0
3 years ago
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Let p represent the statement”the car is blue “ and q represent the statement “the car is spacious “. What is true of the conjun
castortr0y [4]
P= the car is blue
q= the car is spacious
p^q is true if and only if the car is both blue AND spacious
if the car is not blue, or the car is not spacious, or both then p^q is false
6 0
3 years ago
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Can the function f(x) = x^2 - 4x + 4 be factored? If so write in factored form.
Mashutka [201]

Answer:

(x-2)(x-2)

Step-by-step explanation:

Find two things you can multiply to equal to 4 and add to equal -4

-2*-2=4 and -2+-2=-4

8 0
3 years ago
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