A group of 30 people are going to run a race. The top three runners earn gold silver, and bronze medals .
1 answer:
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Answer: C, A, D
edit - sorry the title was wrong earlier
Step-by-step explanation:
Question 1
in the quadratic formula, the equation is in the format of ax^2 + bx + c
so rearrange this equation so all values are on one side
-6x^2 = -9x + 7
-6x^2 + 9x - 7 =0
so a = -6, b = 9, c = -7
answer = C
Question 2
note that all the values are already on one side for this, so repeat the process from question 1 where the equation is in the format of ax^2 + bx + c
the equation = −6x2 − 8x + 12 = 0
so a = -6, b = -8, c = 12
answer = A
Question 3
(see picture below for steps)
following the same process above, a = 4, b = 45, and c = 24, so plug these values in the quadratic equation shown in the picture below
so you get the answers x = -10.69 and x = -0.56 after putting them in a calculator
answer = D
Try graphing using the x-intercept and y-intercept.
-15x - 5y = 45
Put in x = 0 to get -5y = 45, making y = -9. Point (0, -9) is on the line.
Put in y = 0 to get -15x = 45, making x = -3. Point (-3, 0) is on the line.
-2x + 6y = 6
Put in x = 0 to get 6y = 6, making y = 1. Point (0, 1) is on the line.
Put in y = 0 to get -2x = 6, making x = -3. Point (-3, 0) is on the line.
(We've actually stumbled on the solution since (-3, 0) is on both lines!)
Graph the two lines using the points found above.
The solution is x = -3, y = 0.
