Answer:
y = 3(x -2)² -5
Step-by-step explanation:
It looks like you want to write the standard-form quadratic ...
y = 3x² -12x +7
in vertex form.
The process is similar to that of "completing the square."
<h3>Steps</h3>
<u>Factor out the leading coefficient</u>
Do this for the variable terms only.
y = 3(x² -4x) +7
<u>Identify the x-term coefficient</u>
The x-term coefficient (inside parentheses) divided by 2 is the opposite of the x-coordinate of the vertex. It is the constant term in the squared binomial of the vertex form. Square this value.
x coefficient: -4
binomial constant: -4/2 = -2
square of this: (-2)² = 4
<u>Add this inside parentheses</u>
To keep the overall equation unchanged, you must also subtract an equal amount outside parentheses.
y = 3(x² -4x +4) +7 -3(4)
<u>Simplify to vertex form</u>
Write the trinomial in parentheses as a square, and simplify the y-coordinate of the vertex.
y = 3(x -2)² -5
Answer:
40,320
Step-by-step explanation:
He can pick any one of the eight for the first examination.
He can pick any one of the remaining 7 for the 2nd examination.
He can pick any one of the remaining 6 for the 3rd examination.
...
He can pick any one of the remaining 2 for the 7th examination.
There's one left for the 8th examination.
Thus, there are 8×7×6×5×4×3×2×1 = 8! = 40,320 different possible orders in which the tubes can be examined.
Answer:
(16+35)+(24+14)
(16+14)+(35+24)
Step-by-step explanation:
This equation equals 89, basically what you would do is just add two numbers together and then add the sum of those two numbers, it makes the equation way easier to solve since you are not adding 4 numbers at a time, just 2.
