Answer:
$0.75
Step-by-step explanation:
We have been given that a proportional relationship between the number of pounds of carrots (x) and the price in dollars (y).
We can represent this information as: .
We are also told that the ordered pair (8, 6) is on the graphed line. Let us substitute x= 8 and y= 6 in our proportional equation to find the constant of proportionality.
Now let us substitute k=3/4 and x=1 in our proportionality equation.
Therefore, the price of 1 pound of carrots will be $0.75.
Answer:360 i think if not my calculator is broken
Step-by-step explanation:
A = 0.3666 ... = 0.3(6)
10a = 3.(6)
100 a = 36.(6)
100a - 10a = 36.(6) - 3.(6)
90a = 33
Answer:
(3,3)
(-5,19)
Step-by-step explanation:
y= x^2 - 6
y=-2x + 9
Set the two equations equal to each other y=y
x^2 - 6 =-2x + 9
Add 2x to each side
x^2 +2x- 6 =-2x+2x + 9
x^2 +2x- 6 = 9
Subtract 9 from each side
x^2 +2x- 6-9 =9- 9
x^2 +2x- 15 =0
Factor the left hand side
What 2 numbers multiply to -15 and add to 2
-3 *5 = -15
-3+5 = 2
(x-3) (x+5) =0
Using the zero product property
x-3 =0 x+5 =0
x=3 x=-5
Now we find y for each x
x=3
y=-2(3) + 9 = -6+9 =3
(3,3)
x=-5
y=-2(-5) + 9 = 10+9 =19
(-5,19)