Answer:
Step-by-step explanation:
If the sumof two numbers is 4 and the sum of their squarea minus three times their product is 76, find the two numbers
Let us represent:.
First number = x
Second number = y
If the sum of two numbers is 4
= x + y = 4
x = 4 - y
The sum of their squares minus three times their product is 76
x² + y² - 3xy = 76
We substitute 4- y for x
(4 - y)² + y² - 3(4 - y)y = 76
(4 - y)(4 - y) + y² - (12 - 3y)y = 76
16 - 4y - 4y - y² + y² - 12y - 3y² = 76
16 -20y - 3y² = 76
3y² + 20y - 16 + 76 = 0
3y² + 20y + 60 = 0
Answer:
b=-19
Step-by-step explanation:
We know that one of the solutions is x=-4/5
That is a solution to x. So if we plug in (-4/5) into the x in the equation, then it should equal 0.
5(-4/5)^2+b(4/5)+12=0
Now, just solve for b.
5(16/25)+b(4/5)+12=0
(16/5)+(4/5)b+12=0
(76/5)+(4/5)b=0
(4/5)b=-(76/5)
b=-19
The total change in the stock market is 161 1/4 points.
Answer:
16
Step-by-step explanation: