Answer:
Step-by-step explanation:
Given:
The quadratic function is given as:
The standard form of a quadratic function is given as:
, where, 'a', 'h' and 'k' are real numbers.
Now, in order to convert the given function to standard form, we use completing by square method.
![-x^2+2x=-(x^2-2x)=-[(x-2)^2-2^2]=-[(x-2)^2-4]=-(x-2)^2+4](https://tex.z-dn.net/?f=-x%5E2%2B2x%3D-%28x%5E2-2x%29%3D-%5B%28x-2%29%5E2-2%5E2%5D%3D-%5B%28x-2%29%5E2-4%5D%3D-%28x-2%29%5E2%2B4)
Now, can be rewritten as:
Therefore, the standard form of the function is:
Answer:
x = 
Step-by-step explanation:
Given
5xy + a = c ( isolate 5xy by subtracting a from both sides )
5xy = c - a ( isolate x by dividing both sides by 5y )
x =
Answer:
y = 4.25x
Step-by-step explanation:
Cheddar cheese cost 4.25 per pound . This means the cost of cheddar cheese is 4.25 for every pound in weight. Assuming we put a currency to the value we can say 1 pound of cheddar cheese is equals to 4.25 dollars($4.25). Mathematically, it can be represented as
4.25 is the cost for 1 pound of Cheddar cheese
Let the cost of the equation be y as required from the question.
y = cost of the cheddar cheese
x is the weight value in pounds of the Cheddar cheese.
The equation can be best represented as
y = 4.25x
In the equation above if the amount in pounds is 3 pound . the value will be inputted for x and the cost will be gotten which is y.
hope this helps!:)
Answer:
option B
28
Step-by-step explanation:
Given in the question,
C(8,2)
Formula to use
<h3> nCr = n! / r! * (n - r)!</h3>
here n = 8
r = 2
We have to calculate combinations of 8 object taken 2 at a time, then
C(8,2)
8C2
8! / 2! * (8 - 2)!
56/2
28
So, 8C2 = 28
31428 and you would write it down as thirty-one thousand four hundred twenty eight
