Answer:
a≤39/5
Step-by-steep explanation:
60a+64≥80a−92
Step 1: Subtract 80a from both sides.
60a+64≥80a−92
-80a -80a
−20a+64≥−92
Step 2: Subtract 64 from both sides.
−20a+64≥−92
-64 -64
−20a≥−156
Step 3: Divide both sides by -20.
−20a≥−156
a≤39/5
Answer: The answer would be y=1/3x-3
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Hello there!
To find the increasing intervals for this graph just based on the equation, we should find the turning points first.
Take the derivative of f(x)...
f(x)=-x²+3x+8
f'(x)=-2x+3
Set f'(x) equal to 0...
0=-2x+3
-3=-2x
3/2=x
This means that the x-value of our turning point is 3/2. Now we need to analyze the equation to figure out the end behavior of this graph as x approaches infinity and negative infinity.
Since the leading coefficient is -1, as x approaches ∞, f(x) approaches -∞ Because the exponent of the leading term is even, the end behavior of f(x) as x approaches -∞ is also -∞.
This means that the interval by which this parabola is increasing is...
(-∞,3/2)
PLEASE DON'T include 3/2 on the increasing interval because it's a turning point. The slope of the tangent line to the turning point is 0 so the graph isn't increasing OR decreasing at this point.
I really hope this helps!
Best wishes :)
