At x = -4 and -8
Take the derivative of the given equation to find rate of change of the graph.
f'(x) = 6x^2 + 72x + 192
At a horizontal tangent, f'(x) = 0, so set the equation equal to 0 and solve. Eventually you get x = -4 and -8
Assuming the transformations are in order,
because S(x,y) = (x, 1/2y), reverse what is done to y and simplify,
y = x^3 > y = 1/2*x^3 to compress vertically,
because S(x,y) = (x-7,y), reverse what is done to x,
y = 1/2*(x+7)^3 to shift to the left,
reflection across the x-axis changes positives to negatives,
y = -1/2(x+7)^3 to reflect across the x-axis.
(40 - x) represents A. the number of undamaged cards
Step-by-step explanation:
Step 1; Maria has a total of 40 cards out of which x number of cards are damaged so 40 - x cards are undamaged. The value of an undamaged card is 5 dollars whereas every damaged card has a value of 3 dollars.
Step 2; We need to determine what each term in equation 5(40−x)+3x represents. The equation will give us how much total value Maria's card collection has.
The first term 5 (40 - x) signifies the total value of the undamaged cards in the deck where (40 - x) equals the total number of undamaged cards.
The second term represents the total value of the undamaged cards.
So the second factor of the first term i.e (40 - x) represents the amount of undamaged cards in her collection.
Answer:
x=7+1/2
Step-by-step explanation:
We move all terms to the left:
3(x+4.5)-(36.)=0
We add all the numbers together, and all the variables
3(x+4.5)-36=0
We multiply parentheses
3x+13.5-36=0
We add all the numbers together, and all the variables
3x-22.5=0
We move all terms containing x to the left, all other terms to the right
3x=22.5
x=22.5/3
x=7+1/2
Order of operations is known as PIMDAS P(Parenthasis) I(Integers) M(Multiplication or Division which ever comes first) (A) (S)Addition and subtraction are last same rule. Whichever one comes first after all other higher steps are acheived.