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Answer:
(f/g)(x) = 1/(2x)
x ≠ 1/2
Step-by-step explanation:
![(f/g)(x)=\dfrac{f(x)}{g(x)}=\dfrac{6x-3}{12x^2-6x}=\dfrac{6x-3}{2x(6x-3)}\\\\\boxed{(f/g)(x)=\dfrac{1}{2x}}\quad x\ne\dfrac{1}{2}](https://tex.z-dn.net/?f=%28f%2Fg%29%28x%29%3D%5Cdfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%3D%5Cdfrac%7B6x-3%7D%7B12x%5E2-6x%7D%3D%5Cdfrac%7B6x-3%7D%7B2x%286x-3%29%7D%5C%5C%5C%5C%5Cboxed%7B%28f%2Fg%29%28x%29%3D%5Cdfrac%7B1%7D%7B2x%7D%7D%5Cquad%20x%5Cne%5Cdfrac%7B1%7D%7B2%7D)
The domain restriction x ≠ 1/2 comes from the requirement to prevent the denominator factor 6x-3 from being zero.
Answer:If she buys 60 tiles, the cost at both shops is the same.
If she buys less than 60 tiles, then the second shop is cheaper.
If she buys more than 60 tiles, then the first shop is cheaper.
Step-by-step explanation:
Explanation:
Let the number of tiles be
x
At the first shop: Cost =
$
0.79
×
x
+
$
24
=
0.79
x
+
24
At the second shop: Cost =
$
1.19
×
x
=
1.19
x
If the cost is the same:
1.19
x
=
0.79
x
+
24
←
solve for x
1.19
x
−
0.79
x
=
24
0.4
x
=
24
x
=
24
0.4
x
=
60
tiles
If she buys less than 60 tiles, then the second shop is cheaper.
If she buys more than 60 tiles, then the first shop is cheaper.
Answer:
It's A.
Step-by-step explanation:
The length of the major axis is a + b where a and b are the distances from each focus to any point on the ellipse.
Answer:
uhm im really sorry about this but i really need points i would help but id get it wrong im bad aat math
Step-by-step explanation: