The lowest possible product would be -6724 given the numbers 82 and -82.
We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.
Next we'll multiply the numbers together.
x(x+164)
x^2 + 164x
Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2
-b/2a = -164/2(1) = -164/2 = -82
So we know one of the values is -82. We can plug that into the equation to find the second.
x + 164
-82 + 164
82
Answer:
The standard form of the equation is y = 2x^2 + 16x + 25
Step-by-step explanation:
To find the standard form, first square the parenthesis.
y = 2(x + 4)^2 - 7
y = 2(x^2 + -8x + 16) - 7
Now distribute the 2
y = 2(x^2 + 8x + 16) - 7
y = 2x^2 + 16x + 32 - 7
Now combine like terms
y = 2x^2 + 16x + 32 - 7
y = 2x^2 + 16x + 25
Answer:
x = 5/2 + sqrt(17)/2 or x = 5/2 - sqrt(17)/2
Step-by-step explanation:
Solve for x:
x^2 - 5 x + 2 = 0
Subtract 2 from both sides:
x^2 - 5 x = -2
Add 25/4 to both sides:
x^2 - 5 x + 25/4 = 17/4
Write the left hand side as a square:
(x - 5/2)^2 = 17/4
Take the square root of both sides:
x - 5/2 = sqrt(17)/2 or x - 5/2 = -sqrt(17)/2
Add 5/2 to both sides:
x = 5/2 + sqrt(17)/2 or x - 5/2 = -sqrt(17)/2
Add 5/2 to both sides:
Answer: x = 5/2 + sqrt(17)/2 or x = 5/2 - sqrt(17)/2
Answer:
Step-by-step explanation:
If all the tickets were adult tickets, the total cost would be $3200.
subtract $3 for every child ticket
3200-2750= 450 so we need to subtract $450
450/3 is 150 so there are 150 children tickets
