First, we have to realize that this is factored form, so we have to put this in standard quadratic form using FOIL, which is a rule mandating how we multiply the numbers here. F stands for First, which means the first number inside the parentheses for both of them, then O means the first number in the first quantity(fancy word for parentheses) multiplied by the last number of the second quantity, and so forth. When you are done, you combine like terms
anyway, you end up with x²-12x-189, but you have to inverse all numbers because of the parentheses in front, so it becomes -x²+12x+189.
Now you can find the axis of symmetry uisng the equation -b=2a (oh yeah, I forgot to mention: the standard quadratic form is a(x)²+b(x)+c already). So you do -12 / -2, which then becomes 6.
The axis of symmetry is 6
Set up a ratio:
240/180 = X/36
Cross multiply:
240 * 36 = 180x
8640 = 180x
Divide both sides by 180:
X = 8640 / 180 = 48
The person would weigh 48 pounds.
Answer:
9.2 ounce bottle cost $6.12 is better buy with unit price of $0.22
Step-by-step explanation:
Unit price of any product is given by
unit price = weight of product/ price of product
Given sizes
A
13.5 ounces bottle cost $2.98
cost of 1 ounce of shampoo for this size = cost price/weight of shampoo
cost of 1 ounce of shampoo for this size =2.98/13.5 = $0.22
Unit price for this size is $.022
B
9.2 ounce bottle cost $6.12
cost of 1 ounce of shampoo for this size = cost price/weight of shampoo
cost of 1 ounce of shampoo for this size =6.12/9.2 = 0.66
Unit price for this size is $0.66
As $0.22 is less than $0.66 thus,
9.2 ounce bottle cost $6.12 is better buy.
Easily we can use formula y=(x-h)^2 +k
as equation of a parabola if vertex was (h,k):
Y=(x-1)^2 + 3
and maybe node (2,6) is incorrect for this vertex of a parabola!!!
Answer:
yes
Step-by-step explanation:
The difference in the cost per pound is $6.
For 12 lb, the total difference in $6 × 12 = $72.
If the Fresh Market is close enough and you have the time, it is worth the drive since you will save $72.
