Answer:
See below.
Step-by-step explanation:
Here's an example to illustrate the method:
f(x) = 3x^2 - 6x + 10
First divide the first 2 terms by the coefficient of x^2 , which is 3:
= 3(x^2 - 2x) + 10
Now divide the -2 ( in -2x) by 2 and write the x^2 - 2x in the form
(x - b/2)^2 - b/2)^2 (where b = 2) , which will be equal to x^2 - 2x in a different form.
= 3[ (x - 1)^2 - 1^2 ] + 10 (Note: we have to subtract the 1^2 because (x - 1)^2 = x^2 - 2x + 1^2 and we have to make it equal to x^2 - 2x)
= 3 [(x - 1)^2 -1 ] + 10
= 3(x - 1)^2 - 3 + 10
= <u>3(x - 1)^2 + 7 </u><------- Vertex form.
In general form the vertex form of:
ax^2 + bx + c = a [(x - b/2a)^2 - (b/2a)^2] + c .
This is not easy to commit to memory so I suggest the best way to do these conversions is to remember the general method.
Start by multiplying 24*5 (PEMDAS)
24*5= 125
125-41=84
Answer:
who think
Step-by-step explanation:
Step-by-step explanation:
The number of cups of red paint is always 15 of the total number of cups. 0.2 of the total number of cups.
She writes the equation r = 15t (r = 0.2t) to describe the relationship.
In this case, the total no. of cups is an independent variable. No. of cups do not depend on any term.
The number of cups of red paint is a dependent variable as it depends on the number of cups.
Answer:
n=4
Step-by-step explanation:
because 4x10=40
