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,
(10 + 9) x (3 - 1) x 2 = +75
19 x 2 x 2
76
76 > 75
Answer:
29 is the answer
Step-by-step explanation:
the answer is 29
Answer:
It will take 22.5 weeks for her to save up to buy the dress.
Step-by-step explanation:
1/3 of $6.00 is 2.
(6 ÷ 3 = 2)
So she's saving $2 each week.
Now we need to divide $45 by $2 to get the number of weeks.
45 ÷ 2 = 22.5
Answer:
(0, 1 ) and (
,
)
Step-by-step explanation:
Given the 2 equations
x³ - xy = 0 → (1)
x + y = 1 → (2) ( subtract x from both sides )
y = 1 - x → (3)
Substitute y = 1 - x into (1)
x² - x(1 - x) = 0
x² - x + x² = 0
2x² - x = 0 ← factor out x from each term on the left side
x(2x - 1) = 0
Equate each factor to zero and solve for x
x = 0
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = 
Substitute these values into (3) for corresponding values of y
x = 0 : y = 1 - 0 = 1 ⇒ (0, 1 )
x =
: y = 1 -
=
⇒ (
,
)