Answer:
f(x) = 2(x -3)² +5 or f(x) = 2x² -12x +23
Step-by-step explanation:
The equation of a quadratic is easily written in vertex form when the coordinates of the vertex are given. Here, the point one horizontal unit from the vertex is 2 vertical units higher, indicating the vertical scale factor is +2.
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<h3>vertex form</h3>
The vertex form equation for a parabola is ...
f(x) = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'
<h3>equation</h3>
For vertex (h, k) = (3, 5) and vertical scale factor a=2, the vertex form equation of the parabola is ...
f(x) = 2(x -3)² +5 . . . . . vertex form equation
Expanded to standard form, this is ...
f(x) = 2(x² -6x +9) +5
f(x) = 2x² -12x +23 . . . . . standard form equation
X=2
y=2
hope this helps
ps. tiger algebra is a really good website!
To find the length of a side of a square fins the square root of the area.
Area = 200 cm^2
Side = √200
Side = 10√2 (Exact length)
or 14.142 cm's ( round the decimal answer as needed.)
The distance from Ship B to the signal fire at point C is 
Explanation:
It is given that two ships A and B are at a distance 140 ft from each other.
The angle formed by ship A is 82º and the angle formed by ship B is 78º.
To determine the distance from ship B to the signal fire at point C, we need to know the another angle.
Hence, we have,
Now, we shall solve the problem using the law of sines,
Substituting the values, we have,
Simplifying, we get,
Thus, the distance from Ship B to the signal fire at point C is
Answer:
Mean
Step-by-step explanation:
If Wanda has 80 baseball cards and Kyle has 110 baseball cards. Given that they know the total value of all their individual base ball cards, the worth of each baseball card will be derived by dividing the Total Worth of the cards by the number of cards. This is an example of Mean. Therefore they should use Mean to compare the worth of the cards.
Illustrative Example
If the Total Value of their cards are $500,
For Wanda, Value Per Card= $500/80 Cards =$6.25 per card
Similarly,
For Kyle, Value Per Card= $500/110 Cards =$4.55 per card
So we can see from this illustration whose card is with an higher price using the mean.
