Answer:
1503.37
Step-by-step explanation:
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Answer:
b = y-intercept; The equation is y = mx + b. The x and y variables remain as letters, but m and b are replaced by numbers (ex: y = 2x + 4, slope = 2 and y-intercept = 4). The following video will show a few examples of understanding how to use the slope and intercept from an equation.
Vertex (4, -13) y = x^2 - 8x + 3 x-coordinate of vertex: x = -b/(2a) = 8/2 = 4 y-coordinate of vertex: y(4) = 16 - 32 + 3 = -13 Vertex (4, -13) To find y-intercepts, make x = 0 --> y = 3 To find x-intercepts, solve the quadratic equation y = 0 Use the improved quadratic formula D = d^2 = b^2 - 4ac = 64 - 12 = 52 --> d = +- 2sqrt13 There are 2 x-intercepts (2 real roots): x = -b/(2a) +- d/(2a) = 8/2 +- (2sqrt13)/2 = 4 +- sqrt13 graph{x^2 - 8x + 3 [-40, 40, -20, 20]}
Step-by-step explanation:
Answer:
11/306
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome.
Given that there are 4 red, 8 yellow, and 6 blue socks in a drawer where the probability of picking a red, yellow and blue socks be p(r), p(y), and p(b) respectively.
The probability of reaching into the drawer without looking and drawing out 2 blue socks
= 6/(4 + 8 + 6) * 5/(4 + 8 + 5)
= 6/18 + 5/17
= 11/306
The numbers given in the question are 2/5, 4/9 and 3/7. We have to take them to decimal form for arranging the numbers in increasing order.
2/5 = 0.40
4/9 = 0.44
3/7 = 0.43
Then, the increasing order of the numbers would be
2/5 < 3/7 < 4/9
I hope the answer has helped you.
No profit means P(x)=0: x³-4x²+3x-12=0
factor by regrouping: x²(x-4)+3(x-4)=0
take out (x-4): (x-4)(x²+3)=0
x=4 or x²=-3
x² is not a negative number, so x=4 is the only answer.
