The curve has been attached and the answer choices are:
y = 3x² – 2x + 1
y = 3x² – 6x + 3
y = 3x²<span> – 7x + 1
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The attached graph has a vertex in the first quadrant. Therefore, the coordinates of the vertex would be both positive.
Let's start with first equation:
y = 3x² – 2x + 1
using the equation of axis:
x = -b/2a
x = 2/6
x = 1/3
SUbstituting the value of x in the main equation to get the y-coordinate of the vertex.
y = 3(1/3)² – 2(1/3) + 1
y = 3/9 – 2/3 + 1
y = 1/3 – 2/3 + 1
y = (1 - 2 + 3)/3
y = 2/3
Hence, the vertex would be:
(h,k) = (1/3 , 2/3)
Also, the leading coefficient is positive, so the parabola would be concave up.
Thus the final answer choice will be:
y = 3x² – 2x + 1
Answer:
B) perpendicular
Step-by-step explanation:
i graphed them
Answer:
<u>The total area of Tony's vegetable garden is 124 square feet</u>
Step-by-step explanation:
The total area of Tony's vegetable garden is composed by three rectangles.
1st rectangle
Length = 10 feet
Width = 6 feet (14 - 8)
Area = 6 * 10 = 60 square feet
2nd and 3rd rectangles are equals
Length = 4 feet
Width = 8 feet (14 - 6)
Area = 2 * 4 * 8 = 2 * 32 = 64 square feet
Total area
Area of the three rectangles
60 + 64 = 124 square feet
Answer:
a. 
b. The fret should be placed 25 cm far from the bridge.
c. So, the fraction of string at which the fret is placed is
.
Step-by-step explanation:
We are given,
The function representing the distance of a fret from the bridge by
,
where r = length of the root note string and n = number of notes higher than root note.
Now, Louis want to produce notes on a 50 com string. This gives r = 50.
Thus,
.
1. It is required to produce notes which are 1 octave ( 12 notes ) higher than the root note. This gives that n = 12.
So, we get, r = 50 and n = 12 which gives us the function as,
a. 
i.e. 
i.e. 
i.e. 
b. Thus, the fret should be placed 25 cm far from the bridge.
Now, as the fret is placed 25 cm far on the string having length 50 cm.
c. So, the fraction of string at which the fret is placed is
i.e.
.
the answer is C) home loan