F ( x ) = x² + 8 x - 6 = x² + 8 x + 16 - 16 - 6 =
= ( x + 4 )² - 22
Coordinates of the vertex : ( - 4, - 22 )
Answer:
The total number of whole cups that we can fit in the dispenser is 25
Step-by-step explanation:
It is given that the height of each cup is 20 cm.
But when we stack them one on top of the other, they only add a height of 0.8 to the stack.
The stack of cups has to be put in a dispenser of height 30 cm.
So we need o find out how many cups can fit in the dispenser.
Since the first cup is 20 cm high, the height cannot be reduced. So the space to fit in the remaining cups in the stack is only 30-20 cm as that’s the remaining space in the dispenser
So,
30 - 20 = 10 cm
To stack the other cups we have 10 cm of height remaining
As we know that addition of each adds 0.8 cm to the stack, the total number of cups that can be fit in the dispenser can be calculated by the following equation. Let the number of cups other than the first cup be denoted by ‘x’.
10 + 0.8x = 30
0.8x = 20
x = 25
The total number of cups that we can fit in dispenser is 25
Answer:
Step-by-step explanation:
3 tickets to attend an Off-Broadway show cost $81,
4 tickets cost $108; and
5 tickets cost $135.
Let the price of a ticket=k
Therefore:
Solving any of the equation above gives: x=27
We therefore have:
Let y be the total cost of x tickets
- From the above, the constant of proportionality, k=27
An equation for the relationship is therefore:
y=27x (where x is the number of tickets and y is the total costs (in $)).
Answer:
11
Step-by-step explanation:
add all together and divided by 3
33 divied by 3=11
hoped it helped
Lydie made blackberry jam by cooking the blackberries till they were juice
