9x² - 6x + 1
1st method:
Factor 9, you will get 9( x² - 6/9 x+ 1/9). Or 9(x² -2/3 +1/9)
but 9(x² - 2/3 x + 1/9) this can be written as 9(x - 1/3)²
2nd method: Solve this quadratic equation by finding the zero values.
x' =[-b + √b² - 4ac] / 2a and x" = =[-b - √b² - 4ac] / 2a
a=9; b=-6; c=1, hence [6+√(36-(4)(9)]/2(9) = (6 - √0)/18 x = 6/18 = 1/3
even x" =1/3
and ax²+bx + c = a(x-x')(x-x") =9(x-1/3)²
The given graph is parabola graph with vertex at the point (2.0,24) and branches of the parabola go in a negative direction of y-axis.
As known parabola is symmetric about her <span>axis of symmetry and in this case the symmetry axis has equation t=2.0 (vertical line). Thus, the height of the javelin above the ground is symmetric about the line t=2.0.
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</span><span>From the graph you can see that the first time when javelin is 20 feet above the ground is when t=1.0 and the second time is t=3.0 (to determine this you should draw horizontal line through point (0,20) and consider two points of intersection (1.0,20), (3.0,20) between parabola and horizontal line).
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Answer:
to get to 2/3 from 1/12, add 7/12 to 1/12.
Step-by-step explanation:
8/12 is equivalent to 2/3
Answer:
The shape is a reduction, and the scale factor is actually 2/3.
Step-by-step explanation:
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Find 1 year interest :
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1 year interest = 4% of $260
1 year interest = 0.04 x 260
1 year interest = $10.40
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Find 3 years interest :
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1 year interest = $10.40
3 years interest = $10.40 x 3
3 years interest = $31.20
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Answer: The interest for 3 years is $31.20.
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