All categories

3 years ago

The sum of a number and three times its reciprocal is 52/7. Find both possible answers

Mathematics

1 answer:

weeeeeb [17]3 years ago

6 0

Answer:

x+3*1/x=52/7

7x^2/7x+21/7x=52x/7x

7x^2-52x+21=0

I solve this with the quadratic formula

Solution of ax^2+bx+c=0, a≠0 are :

x1= $\frac{-b+\sqrt{b^2-4ac}}{2a}$ and x2= $\frac{-b-\sqrt{b^2-4ac}}{2a}$

so a=7, b=-52,c=21

x1= $\frac{52+\sqrt{52^2-4*7*21} }{14}$ = (52+46)/14=98/14=7

x2=(52-46)/14=6/14=3/7

Step-by-step explanation:

You might be interested in

Where does the graph of y=-3x-18 intersect with the x axi

fiasKO [112]

Intersect with x axis indicates that x value would be Zero

Thus when x = 0

y would be
y = -18

Therefor intersection would be at (0,-18)

8 0

3 years ago

Last year, liliana earned

olga_2 [115]

Answer:

$376,528

Explanation: You have to ÷ $4,518,336 by 12 because there is 12 months in 1 year. That equals 376,528. Therefore her average income was $376,528.

3 0

3 years ago

What is the answer? please help

amid [387]

Answer:

solution,

A(2,7)---------> (X1,y1)

B(6,3)--------->(x2,y2)

now,

 $ab = ( \frac{x1 + x1}{2} \: , \frac{y1 + y2}{2} ) \\ = (\frac{2 + 6}{2} \: , \frac{7 + 3}{2} ) \\ = ( \frac{8}{2} \:, \frac{10}{2} ) \\ = (4 ,\: 5)$ 

hope this helps...

Good luck on your assignment...

7 0

3 years ago

Read 2 more answers

What is the point-slope form of a line that has a slope of 3 and passes through point (1, 4)? y minus 4 = 3 (x minus 1) 1 minus

Tresset [83]

Answer:

y - 4 = 3(x - 1)

Step-by-step explanation:

It looks like you have slope 3 and a point (1, 4)

so it should be y - 4 = 3(x - 1)

which is your first choice: y minus 4 = 3 (x minus 1)

7 0

3 years ago

Read 2 more answers

Let x be the amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train. Suppose that the d

larisa [96]

Answer:

a) $P(X$

$P(X>14) = 1-P(X$

b) $P(7< X$

c) We want to find a value c who satisfy this condition:

$P(x$

And using the cumulative distribution function we have this:

$P(x$

And solving for c we got:

$c = 20*0.9 = 18$

Step-by-step explanation:

For this case we define the random variable X as he amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train, and we know that the distribution for X is given by:

$X \sim Unif (a=0, b =20)$

Part a

We want this probability:

$P(X$

And for this case we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a} = \frac{x-0}{20-0}= \frac{x}{20}$

And using the cumulative distribution function we got:

$P(X$

For the probability $P(X>14)$ if we use the cumulative distribution function and the complement rule we got:

$P(X>14) = 1-P(X$

Part b

We want this probability:

$P(7< X$

And using the cdf we got:

$P(7< X$

Part c

We want to find a value c who satisfy this condition:

$P(x$

And using the cumulative distribution function we have this:

$P(x$

And solving for c we got:

$c = 20*0.9 = 18$

3 0

2 years ago