We have nothing to go off of lol
Answer:
f(x) = 2(x –3)²
Step-by-step explanation:
f(x) = 2x² – 12x + 18
The vertex form of the above expression can be obtained as follow:
f(x) = 2x² – 12x + 18
Factorise
f(x) = 2(x² – 6x + 9)
Next, we shall simplify x² – 6x + 9 by factorisation method.
This is illustrated below:
x² – 6x + 9
Multiply the first term i.e x² and last term i.e 9 together. The result is 9x².
Next, find two factors of 9x² such that their sum will result to the 2nd term i.e –6x in the expression above.
The factors are –3x and –3x
Next, replace –6x with –3x and –3x in the equation above as shown below:
x² – 6x + 9
x² – 3x –3x + 9
Factorise
x(x – 3) –3(x –3)
(x –3)(x –3)
(x –3)²
f(x) = 2x² – 12x + 18
f(x) = 2(x² – 6x + 9)
f(x) = 2(x –3)²
Therefore, the vertex form of the function f(x) = 2x² – 12x + 18 is
f(x) = 2(x –3)²
Answer:
2/15
Step-by-step explanation:
The answer choices to this question do not make sense since probability is a measure that is always <= 1.0
Based on the number of times a particular colored tile is drawn we can assume that at the minimum there are 6 green, 20 red, 7 blue, 8 purple and 4 black tiles
Total number of tiles = 6 + 20 + 7 + 8 + 4 = 45
Probability of drawing a green tile = 6/45 = 2/15
The y-coordinate of the midpoint, M of the segment AB described by; A(-3,3) and B(5,7) is; 5.
<h3>What is the y-coordinate of the point M which is the midpoint of AB, defined by;
A(-3,3) and
B(5,7).</h3>
It follows from the task content that the y-coordinate of the midpoint, M of AB defined by; A(-3,3) and B(5,7) is to be determined.
Hence, it follows from coordinate geometry that the y-coordinate of the midpoint is such that;
y = (y(1) +y(2))/2
y = (3 + 7)/2
y = 5.
Ultimately, the y-coordinate of the midpoint of AB; A(-3,3) and B(5,7) is; y =5.
Read more on midpoint of a line;
brainly.com/question/5566419
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Answer:
1/2 times 1/3
Step-by-step explanation:
