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
The answer is A
A Parallelogram is a shape with 4 sides that has two pairs of parallel sides. The opposite sides must have equal length. This is accurate for this shape.
A Rectangle is a shape with 4 sides that has four right angles. This is accurate for this shape.
A rhombus is a shape with 4 sides of equal length. This is not accurate for this shape.
A square is a shape with 4 sides of equal length and four right angles. This is not accurate for this shape.
Answer:
The answer is 162.5
Step-by-step explanation:
you divide 2 by 3 and then figure out how many examples where given to find the average and multiply by that much and you get the answer.
Answer:
19y+5
Step-by-step explanation:
Combine like terms look for all the numbers that have y attached and combine them
7y +12y=19y
Look for terms where nothing is attached it's just the number combine them
6-1=5
Put all together again and you get:
19y+5
Answer:
18pi units³ or 56.5 units³ (3 sf)
Step-by-step explanation:
pi×r²×h - (4/3)(pi×r³)
r = 3 h = 2r = 6
pi(3²×6 - (4/3)(3³))
18pi units³