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kotegsom [21]
3 years ago
14

Which values of x are solutions of the equation below

Mathematics
1 answer:
Mandarinka [93]3 years ago
4 0

Answer:

x = 3.3 and -0.3

Step-by-step explanation:

Given the expression

1/x-4 + x/x-2=2/x^2-6x+8

Find the LCM

x-2+x(x-4)/(x-4)(x-2) = 2/x^2-6x+8

Since the denominator, are the same they cancels out

x +1 + x(x-4) = 2

x+1 + x²-4x = 2

x²-3x + 1 - 2 = 0

x² - 3x - 1 = 0

Factorize

x =3±√9+4/2

x =3±√13/2

x = 3±3.6/2

x= 6.6/2 and -0.6/2

x = 3.3 and -0.3

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Jon ate too many holiday cookies and gained 2.2 kilograms in December. Then he went on a diet and lost 1.5 kilograms in January.
gogolik [260]

Answer:

Jon lost a total of 3 kilograms in these 3 months.

Step-by-step explanation:

Weight that Jon gained in December = 2.2 kilograms

Weight that Jon lost in January = 1.5 kilograms

Weight that Jon lost in February = 3.7 kilograms

Overall Change in his weight = Total Weight he gained - Total weight he Lost

Total weight he gained is 2.2 kilograms as he only gained weight in December. Total weight he lost will be sum of weights he lost in January and February.

So, total weight Jon lost = 1.5 + 3.7 = 5.2 kilograms

Thus,

Total change in Jon's Weight = 2.2 - 5.2 = -3.0 kilograms

This shows that Jon lost a total of 3 kilograms in these 3 months.

Conclusion:

The statement that best describe the total change in his weight is: Jon lost a total of 3 kilograms in these 3 months

5 0
2 years ago
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Drag the numbers to the correct locations on the image. Not all numbers will be used. Complete the synthetic division to find th
emmasim [6.3K]

Answer:

quotient of 3x3 - 25x2 + 12x - 32 and x - 8 is 3x^2-x+4

7 0
2 years ago
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Solve the system of equations.<br><br> 5x + y = 9<br> 3x + 2y = 4
tiny-mole [99]
Y=-5x+9

3x+2(-5x+9)=4
3x-10x+18=4
-7x=4-18
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5(2)+y=9
10+y=9
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The answer is (2,-1) :)
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3 years ago
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Two cyclists are 7 miles apart when they begin biking away from each other in
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Answer:

25

Step-by-step explanation:

Its just 25

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3 years ago
Find the slope of the line containing the pair of points f(1) = -6 and f(-7) = -6.
DENIUS [597]

We have that    the slope of the line containing the pair of points f(1) = -6 and f(-7) = -6. is

m=\infty

From the question we are told

Find the slope of the line containing the pair of points f(1) = -6 and f(-7) = -6.

Where Standard form of Equation is

y=mx+c

Generally the equation for the Slope  is mathematically given as

m=\frac{y_2-y_1}{x_2-x_1}

Therefore

m=\frac{-7-1}{-6-(-6)}\\\\ m= \infty

Therefore

The slope of this line is

m=\infty

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brainly.com/question/23366835

7 0
1 year ago
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