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Sergio039 [100]
3 years ago
14

The sum of a number and six times its reciprocal is 10. Find the number​

Mathematics
1 answer:
Andreas93 [3]3 years ago
6 0

Answer:

two solutions work: x = 5 + \sqrt{19} and x = 5 - \sqrt{19}

Step-by-step explanation:

x + 6 ( 1/x ) = 10

x^2 + 6 = 10x

x^2 - 10x + 6 = 0

x = 5 + \sqrt{19}, 5 - \sqrt{19}

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TRUE OR FALSE: FOR ANY FUNCTION, X=F^-1(Y), THEN Y=F(X). PLEASE EXPLAIN
Vesnalui [34]

Answer:

True.

Step-by-step explanation:

For example let f(x) = 3x + 1  then f-1(x)  is found as follows

Let f(x) = y = 3x + 1 then

3x = y - 1

x = (y-1) / 3

x = f-1(x) = (x - 1)/3.

So:

Replacing the x  in y by (x - 1)/3 :-

x = f(-1)(y) = ( (3x + 1) - 1) / 3

= 3x / 3

= x.

So y = f(x).

7 0
3 years ago
Qt + a = -1 <br><br> when q = 3 and t = 4
Pachacha [2.7K]

Answer:

a=-13

Step-by-step explanation:

We can use substitution to find the value of a:

qt+a=-1

3(4)+a=-1

12+a=-1

a=-13

Hope this helps :)

5 0
3 years ago
Value of the digit in the hundredths place .44
Firlakuza [10]
0.04 is the answer to this question

3 0
3 years ago
What interest rate is needed
KatRina [158]

Answer:

How to calculate interest rate

Step 1: To calculate your interest rate, you need to know the interest formula I/Pt = r to get your rate. ...

I = Interest amount paid in a specific time period (month, year etc.)

P = Principle amount (the money before interest)

t = Time period involved.

r = Interest rate in decimal.

5 0
2 years ago
A sample of 14 high school seniors are asked, " how many hours a week do you work?". Their responses are below.
Rainbow [258]
  • The mean of the number of hours worked by these students is 14 hours.
  • The median is 12.5 hours.

The mean is the sum of all the hours listed divided by the number of seniors asked:

= ( 0 + 0 + 0 + 8 + 8 + 10 + 12 + 13 + 15 + 15 + 17 + 20 + 22 + 56) / 14

= 196 / 14

= 14 hours

The mean number of hours is 14 hours.

The median

Because the number of student interviewed is an even number, the median is calculated by taking the average of the two numbers in the middle.

<em>The numbers are ⇒ 12, 13</em>

Median is therefore :

= ( 12 + 13) /2

= 12.5 hours  

In conclusion, the mean is 14 hours and the median is 12.5 hours.

<em>Find out more at brainly.com/question/11284383</em>

4 0
2 years ago
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