Answer: Was there supposed to be a picture here?
Step-by-step explanation: If there was supposed to it isn't here
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.
One way to write a ratio is 5:8 or 5 to 8 and <u>5</u>
8
Answer:
4k^3 - k^2 - 2k
Step-by-step explanation:
-k * -4k^2 = 4k^3
-k * k = -k^2
-k * 2 = -2k
4k^3 - k^2 - 2k
Hello!
Since Trey pays a flat monthly $6 fee, we can subtract that from the total bill:
$12.27 - $6 = $6.72
That leaves us with a total of $6.72 paid for minutes. We are told that Trey is charged 8 cents per minute of usage. Using the information above, we can create the following equation:
$0.08 x (minutes) = $6.72
Now divide $0.08 from both sides of the equation and simplify:
x (minutes) = 
minutes = 84
We have now proven that Trey was billed for 84 minutes.
I hope this helps!
