Answer:
x=−4/3 or x=−3/2
Step-by-step explanation:
Let's solve your equation step-by-step.
6x2+17x+12=0
Step 1: Factor left side of equation.
(3x+4)(2x+3)=0
Step 2: Set factors equal to 0.
3x+4=0 or 2x+3=0
x=−4/3 or x=−3/2
Answer:
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Step-by-step explanation:
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The perimeter would probably be 292 because at+b is 7(9)+10, or 73 and there are 4 sides of a circle, so 73 times 4 is 292.
Because the vertex of the parabola is at (16,0), its equation is of the formy = a(x-10)² + 15
The graph goes through (0,0), thereforea(0 - 10)² + 15 = 0100a = -15a = -0.15
The equation is y = f(x) = -0.15(x - 10)² + 15
The graph is shown below.
Part A
Note that y = f(x).
The x-intercepts identify values where the function or y=0. The x-intercepts occur at x=0 and x=20, or at (0,0) and (20,0).
The maximum value of y occurs at the vertex (10, 15) because the curve is down due to the negative leading coefficient of -0.15.
The curve increases in the interval x = (-∞, 10) and it decreases in the interval x = (10, ∞).
Part B
When x=12, y = -0.15(12 - 10)² + 15 = 14.4When x=15, y = -0.15(15 - 10)² + 15 = 11.25
The average rate of change between x =12 to x = 15 is(11.25 - 14.4)/(15 - 12) = -1.05
This rate of change represents the slope of the secant line from A to B. It approximates the rate at which f(x) decreases in the interval x =[12, 15].
16, first you need to add on the four he lost to the 18 he ended with.