Ryleigh received a $50 gift card to the frozen yogurt shop for her birthday. the shop sells yogurt sundaes for $4 and yogurt cones for $3. how many sundaes and cones can she buy with her card? if x represents the number of yogurt sundaes and y represents the number of yogurt cones, which graph correctly shows the solution to the problem? x, y graph. x range is negative 30 to 30, and y range is negative 30 to 30. dashed line on graph has negative slope and runs through negative 10, 30 and 5, 10 and 20, negative 10. above line is shaded. x, y graph. x range is negative 30 to 30, and y range is negative 30 to 30. dashed line on graph has negative slope and runs through negative 10, 30 and 5, 10 and 20, negative 10. below line is shaded. x, y graph. x range is negative 30 to 30, and y range is negative 30 to 30. solid line on graph has negative slope and runs through negative 10, 30 and 5, 10 and 20, negative 10. above line is shaded. x, y graph. x range is negative 30 to 30, and y range is negative 30 to 30. solid line on graph has negative slope and runs through negative 10, 30 and 5, 10 and 20, negative 10. below line is shaded.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

( - 4 , -7 )

all the lines must parallel  

step-by-step explanation:

coordinates of c = ( - 1 , 2 )

3 units left = ( -4 , 2 )

9 units down = ( - 4 , 11 )

choose (5, 1.5) and (-1.5,-3.5)

step-by-step explanation:

5 - 1.5 =3.5

-1.5 - (-3.5) = 2

3.5 + 2 =5.5

hope this !