If 18 miles is the unit rate, you would multiply 18 and 15. 270. The new rate would simply be 270 miles for every 15 gallons of gasoline.
Answer:
A
Step-by-step explanation:
The equation 
describes the proportional relationship between variables x and y. In this equation, k is the coefficient of proportionality.
Consider all options:
A. For the equation
the coefficient of proportionality is
B. For the equation
the coefficient of proportionality is
C. For the equation
the coefficient of proportionality is
D. For the equation
the coefficient of proportionality is
Answer:
g(x) = (1/2)x + 3
f(x) = g(x) at (-1/2 , 13/4)
Step-by-step explanation:
g(x) and f(x) will have exactly one solution when they are not parallel (same slope) and when they are not equivalent functions (like doubling or halving all terms).
f(x) = (-5/2)x - 3
g(x) = (1/2)x + 3 <= choose an easy equation.
To find the solution, equate the two functions:
f(x) = g(x)
(-5/2)x - 3 = (1/2)x + 3
(-5/2)x - (1/2)x = 3 + 3 <= move variables to one side, constants to other
(-6/2)x = 6 <= simplify
x = 6 / (-6/2) <=isolate x
x = -6/12
x = -1/2
Substitute x = -1/2 into any equation to find y
g(x) = (1/2)x + 3
g(1/2) = (1/2)(1/2) + 3
g(1/2) = (1/4) + 3
g(1/2) = (1/4) + (12/4) <= find common denominator to add
y = (13/4) <= the function symbol can be replaced by y
The coordinates are (-1/2 , 13/4).
3x^2 = 75
x^2 = 25
x = 5
use quadratic formula for second one
X=5,2
x^2-6x+8=x-2
x^2-7x+10
(factor)
(what multiplies to be 10 and adds to be -7)
(x-5)(x-2)
(put each equation equal to zero)
0=x-5 x-2=0
x=5,2
