marissa has $4.40 in quarters and dimes. if she has 5 more quarters than dimes how many of each coin does she have?

Dimes = 9 dimes.

Quarters = 14 quarters.

Step-by-step explanation:

Q = D + 5 (1)

25×Q + 10×D = 440. (2)

From eq(1) substitute the expression for Q into equation (2)

25×(D+5) + 10D = 440

25D + 125 + 10D = 440

35D = 440 - 125

35D = 315

D = 315/35

D = 9

so,

Dimes = 9 dimes.

and,

Quarters = 9+5

= 14 quarters.

25×Q + 10×D = 440

25×14 + 10×9 = 440

350 + 90 = 440

440 = 440

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

x= 3^y

step-by-step explanation: