Let one of the numbers be x. The other number cab then be represented as 36-x (x+36-x = 36).
The product can then be represented as y = x(36-x) or y=36x-x2
The maximum or minimum is always on the axis of symmetry which has the formula x=-b/2a.
In our case, the axis of symmetry is -36/-2, so x=18.
If one number is 18 and the 2 numbers add to 36, the other number is 18 as well.
So the 2 numbers are 18 and 18 and the maximum product is 324,
Answer:
(- 1, 2 )
Step-by-step explanation:
Given the 2 equations
- 3x - 5y = - 7 → (1)
- 4x + 5y = 14 → (2)
Add the 2 equations term by term to eliminate y , that is
- 7x + 0 = 7
- 7x = 7 ( divide both sides by - 7 )
x = - 1
Substitute x = - 1 into either of the 2 equations and solve for y
Substituting into (1)
- 3(- 1) - 5y = - 7
3 - 5y = - 7 ( subtract 3 from both sides )
- 5y = - 10 ( divide both sides by - 5 )
y = 2
solution is (- 1, 2 )
Answers:
10) y= 1/2x - 2
11) y= 2x + 3
12) y= 2/3x - 4
I found this by using y=mx+ b
Answer:
a) 675 000
b) 685 000
Step-by-step explanation:
The population of a town is 680 000 correct to the nearest 10 000.
a) To find it lower bound, we level of accuracy by 2 and then subtract from 680 000
The lower bound is:
680 000-5000=675,000
Therefore the least possible population of the town is 675 000
b) We repeat the same process to find the upper bound
680 000+5000=685,000
Integers are whole numbers so the answer is -3
