Answer:
C) No solution
Step-by-step explanation:
Because we know that y=3x-2, we can substitute the value of y into the first equation to get x:
-6x+2y=-6
-6x+2(3x-2)=-6
-6x+6x-4=-6
-4=-6
However, there is one problem! Since both sides are not equal to each other, there's no solution. Therefore, C is the only correct answer.
If x₁ and x₂ are solutions of the quadratic equation, then we can write it in quadratic factorization:
a(x - x₁)(x - x₂)
We have x₁ = 5 and x₂ = 7
(x - 5)(x - 7) = (x)(x) + (x)(-7) + (-5)(x) + (-5)(-7) = x² - 7x - 5x + 35 = x² - 12x + 35
<h3>Answer: x² - 12x + 35 = 0</h3>
Let x represent the quantity of child tickets sold and y represent the quantity of adult tickets sold
Child (x): $45 each
Adult (y): $85
Cost equation: 45x + 85y = 72000
Quantity equation: x + y = 1000
45x + 85y = 72000 → 45x + 85y = 72000
-45( x + y = 1000) → <u>-45x - 45y = -45000</u>
40y = 27000
y = 625
Quantity equation: x + y = 1000 → x + (625) = 1000 → x = 375
Answer: 375 child tickets and 625 adult tickets
44x
43.125 and rounded to the tenths is 43.1 rounded to the hundredths is 43.13