Answer:
hi
Step-by-step explanation:
Answer:
x /\ y
1 /\ -4
2 /\ -5
3 /\ -6
4 /\ -7
... /\ ...
Step-by-step explanation:
Answer:
Part A: 5x² + 7x - 4
Part B: 5x³ - x² - 8x + 1
Part C: Yes.
Step-by-step explanation:
Part A: The length of two sides of a triangle are given by
Side 1: 3x² - 2x - 1
Side 2: 9x + 2x² - 3
Now, the total length of the two sides, 1 and 2, of the triangle will be
= (3x² - 2x - 1) + (9x + 2x² - 3)
= 5x² + 7x - 4 (Answer)
Part B: If the length of the third side is y and the perimeter of the triangle is (5x³ + 4x² - x - 3), then
y = (5x³ + 4x² - x - 3) - (5x² + 7x - 4) = 5x³ - x² - 8x + 1 (Answer)
Part C: The answers in the part A and part B are closed under addition and subtraction. (Answer)
The function is: f ( x ) = - x² + 60 x - 116 is in the form: f ( x ) = a x² + b x + c
Part A:
x = -b / 2 a = - 60 / ( - 2 ) = 30
Then we will charge it into the function:
f ( 30 ) = - 30² + 60 · 30 - 116 = - 900 +1,800 - 116 = 784
The vertex is ( 30, 784 ).
It means that the maximum profit is $784, when 30 windshields are repaired.
Part B:
x 1/2 = ( -60 +/- √(3600 - 464 )/ (- 2 ) = ( -60 +/- 56 ) / ( - 2 )
x 1 = 2, x 2 = 58
It means that a shop has to repair at least 2 windshields and not more than 58 windshields for making a profit.
