A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
The simplest form of 204/72
=17/6
If it is discounted 25%, then u r actually paying 75%
0.75(119) = 89.25 (without tax)
sales tax = 7 1/2% = 7.5% = 0.075
89.25(1.075) = $ 95.94 <===
To find an inverse, switch the x and the y and solve for the new y. Yours switched is x = 3y. Now solving for y we divide both sides by 3 to get y = x/3
