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lapo4ka [179]
3 years ago
14

98 points possible

Mathematics
2 answers:
Pavel [41]3 years ago
8 0

Answer:

Step-by-step explanation:

symmetry with respect to y-axis for y=f(x) means f(-x)=f(x)

in this case, y = f(x) = x / (x^2+4)

f(-x) = -x / ((-x)^2+4) = -x / (x^2+4) = -f(x)

so it is not symmetric to y-axis

symmetry with respect to x-axis for x=g(y) means g(-y)=g(y)

in this case, y = x / (x^2+4)

y*(x^2+4) = x

y*x^2 + 4y - x = 0

substitute -y into g(y)

(-y)*x^2 +4(-y) - x = 0

-y*x^2 - 4y - x = 0

y*x^2 + 4y + x = 0

so g(-y) is not equal to g(y)

so it is not symmetric to x-axis

drek231 [11]3 years ago
6 0

Answer:

Step-by-step explanation:

I will test it for symmetry with respect to the origin; which means for y=f(x)

f(-x) = -f(x)

f(-x) = -x / ((-x)^2 + 4)

= -x / (x^2 + 4)

= -f(x)

So it is proven that the expression is symmetric to the origin.

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A bowling alley charges $2.50 per game plus $4 to rent shoes. A second bowling alley charges $4 per game plus $1 to rent shoes.
adelina 88 [10]

Answer:

The person would have to play 2 games for the two bowling alleys to cost the same amount

Step-by-step explanation:

Assume that the number of games that makes the two costs equal is x

∵ A bowling alley charges $2.50 per game plus $4 to rent shoes

∵ The number of games is x

∴ The cost = 2.50x + 4

∵ A second bowling alley charges $4 per game plus $1 to rent shoes

∵ The number of games is x

∴ The cost = 4x + 1

∵ They have the same cost

→ Equate the 2 expressions above

∴ 4x + 1 = 2.50x + 4

→ Subtract 2.50x from both sides

∵ 4x - 2.50x + 1 = 2.50x - 2.50x + 4

∴ 1.50x + 1 = 4

→ Subtract 1 from both sides

∵ 1.50x + 1 - 1 = 4 - 1

∴ 1.50x = 3

→ Divide both sides by 1.50

∴ x = 2

∴ The person would have to play 2 games for the two bowling alleys to

   cost the same amount

7 0
2 years ago
Find the equation of the circle with center at the origin that contains the point (-8,6)
Katena32 [7]
The center is at origin O(0,0).
If it contains the point, P(-8,6), then the radius r is, by Pythagoras theorem,
r=sqrt((-8)^2+6^2)=10

The general equation of a circle at centre (xc,yc) with radius r is given by
(x-xc)^2+(y-yc)^2=r^2

Substituting r=10, (xc,yc)=(0,0)
the resulting equation is therefore

(x-0)^2+(y-0)^2=10^2
or simply
x^2+y^2=100
3 0
3 years ago
I need help answering this question, Asap
Natasha2012 [34]

Answer:

(-65)/17

Step-by-step explanation:

Evaluate 3/(x - 2) - sqrt(x - 3) where x = 19:

3/(x - 2) - sqrt(x - 3) = 3/(19 - 2) - sqrt(19 - 3)

19 - 3 = 16:

3/(19 - 2) - sqrt(16)

19 - 2 = 17:

3/17 - sqrt(16)

sqrt(16) = sqrt(2^4) = 2^2:

3/17 - 2^2

2^2 = 4:

3/17 - 4

Put 3/17 - 4 over the common denominator 17. 3/17 - 4 = 3/17 + (17 (-4))/17:

3/17 - (4×17)/17

17 (-4) = -68:

3/17 + (-68)/17

3/17 - 68/17 = (3 - 68)/17:

(3 - 68)/17

3 - 68 = -65:

Answer: (-65)/17

4 0
3 years ago
Read 2 more answers
If a plane flies 612 km per hour, approximately how many kilometres will it travel in 13 hours?
zaharov [31]
612km...........1h \\ x...................13h \\ \\ x=\frac{612*13}{1} \\ \\ \boxed{x=7956km}
7 0
3 years ago
Read 2 more answers
Five times a number is greater thn 25
Kobotan [32]

5 x 6 is greater than 25.


( Hope this helps!! ) <3


5 0
3 years ago
Read 2 more answers
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