Which of the following is an irrational number A)-5 B)3.5 C) 5.893 D)1/2
2 answers:
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To solve this problem you must apply the proccedure shown below:
1. You have that varies inversely with
and when
the value of
is
.
2. Therefore, you can write the following expression, where is the constant of proportionality:
3. Solve for the constant of proportionality and substitute the values to calculate it:
4. The equation is:
The answer is:
(-2, 5) Minimum
Step-by-step explanation:
y-5=(1/3)(x + 2)²
y-5=(1/3)(x²+4x+4))
y-5=1/3x²+4/3x+4/3
y=1/3x²+4/3x+4/3+5
y=1/3x²+4/3x+4/3+15/3
y=1/3x²+4/3x+19/3
graph is attached
x= -b/2a
x= (-4/3)/2(1/3)
x= (-4/3)/(2/3)
x= (-4/3)*(3/2)
3's cancel
x= (-4/1)*(1/2)
x = -4/2
x = -2
plug -2 back into
y=1/3x²+4/3x+19/3
y=1/3*4+4/3*-2+19/3
y=4/3-8/3+19/3
y=15/3
y=5
(-2,5)
if a is positive
graph looks like a smile
so minimum
if a is negative
graph looks like a frown
so maximum
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