Answer:
g = 3
Step-by-step explanation:
miles / gallon = miles / gallon
104 / 4 = 78 / g
cross-multiply to solve for 'g':
78(4) = 104g
312 = 104g
312/104 = g
3 = g
Answer:
x = -1/2
Step-by-step explanation:
1-3x = x+3
Add 3x to each side
1-3x+3x = x+3x+3
1 = 4x+3
Subtract 3 from each side
1-3 = 4x+3-3
-2 = 4x
Divide each side by 4
-2/4 = 4x/4
-1/2 =x
Answer:
The values of
so that
have vertical asymptotes are
,
,
,
,
.
Step-by-step explanation:
The function cosecant is the reciprocal of the function sine and vertical asymptotes are located at values of
so that function cosecant becomes undefined, that is, when function sine is zero, whose periodicity is
. Then, the vertical asymptotes associated with function cosecant are located in the values of
of the form:
, 
In other words, the values of
so that
have vertical asymptotes are
,
,
,
,
.
Answer:
m=2 and n=3
Step-by-step explanation:
<u>Step</u> :-
Given ![[ 2 x^{n}y^{2} ]^m = 4 x^6 y^4](https://tex.z-dn.net/?f=%5B%202%20x%5E%7Bn%7Dy%5E%7B2%7D%20%5D%5Em%20%3D%204%20x%5E6%20y%5E4)
using algebraic formula 
now

now equating 'x' powers, we get

....(1)
now

Equating 'y' powers ,we get
2 m=4
m=2
substitute m= 2 in equation (1)
we get
2 n=6
n=3
verification:-
substitute m=2 and n=3 , we get
![[ 2 x^{n}y^{2} ]^m = 4 x^6 y^4](https://tex.z-dn.net/?f=%5B%202%20x%5E%7Bn%7Dy%5E%7B2%7D%20%5D%5Em%20%3D%204%20x%5E6%20y%5E4)


both are equating so m= 2 and n=3
Answer:
25× 1/10 = 5/2
Step-by-step explanation:
5/2 or 2.5 lies between 2 and 3