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.
Answer:
No
Step-by-step explanation:
You can tell if something is a function by checking to see if a vertical line will intersect at one spot more than once. If it does, it is not a function.
Answer:
there's no graph??
Step-by-step explanation:
A) Scale of map is 1: 30,000
This is assuming that it meant 1 centimetre = 30,000 metres, for it gives no other information.
Multiply 1 with 30,000: 30,000 x `1 = 30,000
30,000 metres is your answer.
B) Scale is 1 inch: 6 miles. You are given 2.5 inches.
Remember that 1 inch = 6 miles.
Multiply 2.5 to both sides: (2.5) * 1 inch = (2.5) * 6 miles
2.5 inch = 2.5 * 6 miles
2.5 inch = 15 miles
15 miles is your answer.
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