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DaniilM [7]
3 years ago
8

The value of y varies directly with c. If x = 2, then y = 7. Find the value of x if y = 84.​

Mathematics
2 answers:
elena-14-01-66 [18.8K]3 years ago
8 0

We are given that y varies directly with c.

We need a constant of proportionality. I decided to let c be the constant of proportionality.

y = cx

7 = 2c

7/2 = c

We are now given the value of y to be 84 and must find x.

y = cx

84 = (7/2)x

84 ÷ (7/2) = x

24 = x

shtirl [24]3 years ago
3 0

Answer:

x=24

Step-by-step explanation:

y = x*c

x=2, y=7

2*c=7 => c=7/2

x*7/2 = 84

x = 84*2/7

x = 12*2

x = 24

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Answer:

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Step-by-step explanation:

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8 0
4 years ago
Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0 = 2x2 + 3x – 8? Quadratic formula: x
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ANSWER

1.39

EXPLANATION

The given quadratic equation is

0 = 2 {x}^{2}  + 3x - 8

This is the same as,

2 {x}^{2}  + 3x - 8 = 0

Comparing to

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We have

a=2, b=3,c=-8

Using the quadratic formula, the solution is given by:

x =  \frac{ - b \pm \:  \sqrt{ {b}^{2}  - 4ac} }{2a}

We substitute the values to get,

x =  \frac{ - 3\pm \:  \sqrt{ {3}^{2}  - 4(2)( - 8)} }{2(2)}

x =  \frac{ - 3\pm \:  \sqrt{ 73} }{4}

The positive root is

x =  \frac{ - 3 + \:  \sqrt{ 73} }{4} = 1.39

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4 0
3 years ago
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julia-pushkina [17]

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3 years ago
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