Answer:
two real, unequal roots
Step-by-step explanation:
y is definied as y = 3x - 1. Substitute 3x - 1 for y in xy = 9, obtaining:
x(3x - 1) = 9. Then:
3x^2 - x - 9 = 0. In this quadratic, the coefficients are a = 3, b = -1 and c = -9.
Calculating the discriminant b^2 - 4ac, we get (-1)^2 - 4(3)(-9), or 1 + 108, or 109. Because the discriminant is positive, we have two real, unequal roots.
Let p = pictures only
let f = pictures with frames
p + f = 100
5p + 10f = 875
Solve for one variable in the first equation then plug into the second
p = 100 - f
5(100 - f) + 10f = 875
500 - 5f + 10f = 875
500 + 5f = 875
5f = 375
f = 75
75 pictures with frames were sold
Answer:
Constant Proportionality: 144
~ I really hope this is correct, if not then, I'm sorry~
Step-by-step explanation: