Format of Quadratic Equation: y = ax2 + bx + c
Given Quadratic Equation: y = 2x2 - 3x + 3
Coefficient Variable Values: a = 2 and b = -3 and c = 3
Axis of Symmetry: x = -b/2a = -(-3)/2(2) so answer is x = 3/4
Vertex: x value is axis of symmetry (3/4) and y value is calculated substituting 3/4 for x in original equation: y = 2(3/4)2 - 3(3/4) + 3 = 2(9/16) - 9/4 + 3 = 9/8 - 9/4 + 3 = 9/8 - 18/8 + 24/8 = 15/8,
so answer is (3/4,15/8)
x intercepts (solve using quadratic formula): x = (-b plus or minus sqrt(b2 - 4ac)/2a, so plugging in coefficient values for a and b and c, we get x = [-(-3) plus or minus sqrt((-3)2 - 4(2)(-3)]/2(2), which results in x = (3 + sqrt(33))/4 or (3 - sqrt(33))/4 and answers to nearest tenth are x = (3 + 5.7) / 4 = 2.2
or x = (3 - 5.7) / 4 = -0.7
y intercept is calculated by substituting zero for x into original equation: y = 2x2 - 3x + 3, so y-intercept is 3.
Domain is range is from calculated negative x intercept (-0.7) to calculated positive x intercept (2.2) and is written as (-0.7,2.2)
Range is from calculated y-intercept to positive infinity, since parabola opens up due to positive x2 coefficient value, so range is written as (3,positive infinity). Note: infinity symbol is sideways 8.
Answer:
x = 348
Step-by-step explanation:
The measure of angle ABD is (0.15x+65) and the measure of angle CBD is(0.1x+28) . Find the value of x.
0.15x + 65 + 0.1x + 28 = 180
0.25x + 93 = 180
0.25x = 180 - 93
0.25x = 87
x = 87/0.25
x = 348
Answer:
1.282, -0.5244,...
Step-by-step explanation:
We know that Z is a standard normal variate with mean =0, and std dev =1
a) z-score separates the highest 10% from the rest of the scores
= 90th percentile = 1.282
b) z-score separates the lowest 30% from the rest of the scores
= 30th percentile = -0.5244
c) z-score separates the lowest 40% from the rest of the scores
= 40th percentile = -0.2533
d) z-score separates the lowest 20% from the rest of the score
=20th percentile = -0.8416
Answer:
B
Step-by-step explanation:
because we just multiply the bottom equation by - and we eliminate 7y. now we have -2x=-10 to get x we divide -10 by -2 and get the answer
0.20/0.70 = 0.2857
28.6% chance
round the answer as needed.
