Answer:
(x-5)^2+2
Step-by-step explanation:
To convert between standard and vertex form, you have to complete the square (which, as a reminder, (a+b)^2 = a^2+2ab+b^2).
Since a^2 is x^2, and 2ab is -10x, then b must be -5, so b^2 is 25. Therefore, we add and subtract 25 from the expression:
(x-10x+25)+27-25
Then, we can make (x-10x+25) to (x-5)^2:
(x-5)^2+2
Y = 7x, if x equals the number of hours and y equals the amount of money charged.
MASS*GRAV*HEIGHT=PE
MASS=3
GRAV=9.8
HEIGHT=4.5
3*9.8*4.5=132.3
POTENTIAL ENERGY= 132.3
The way that i learned this was first set > to = worry about it later
so 9x-7i=3(3x-7u)
so 9x-7i=9x-21u
the x cancel out
so 7i= -21u
now isolate the variable
so
7i/-21=u
so
u=-i/3
Answer:
You will need to buy 5 1.50lb bags of sugar to make your recipe.
Step-by-step explanation:
This problem can be solved by consecutive rules of three.
A large recipe calls for 3.18kg of sugar. Your bags of sugar are measured in pounds (lb). Remembering that 1kg=2.20462lb
How many lbs of sugar you will need to buy?
1 kg - 2.20462lb
3.18 kg - x lb
How many 1.50lb bags of sugar will you need to buy to make your recipe?
1 bag - 1.50 lb
x bags - 7 lb
You will need to buy 5 1.50lb bags of sugar to make your recipe.
