Answer:
minimum value of function is
.
Step-by-step explanation:
Given function represents a parabola.
Now, here coefficient of
is positive , so the parabola will be facing upwards and thus the function will be having a minimum.
Now, as we know that minimum value of a parabolic function occurs at
x =
.
Where , b represents the coefficient of x and a represents the coefficient of
.
here, a = 2 , b = -6
Thus
=
=
So, at x =
minimum value will occur and which equals
y = 2×
-
+ 9 =
.
Thus , minimum value of function is
.
Answer:
a=3,b=5
Step-by-step explanation:

so as you got it:

Answer:
(D) 36
Step-by-step explanation:
0.5% = 0.5/100 = 0.005
It is given that the population (215) is predicted to increase by 0.5%. To know the value after increment, 215 has to be multiplied by (1 + 0.005) or 1.005.
In the equation P = 215(1.005)t/3, the value of t/3 has to be equal to 1 for 0.5% increase.
t/3 = 1
t = 3 years
Convert years to months.
n = 3 ⋅ 12 months
n = 36 months
The correct option is D.
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X + y = 17
x - y = 29
x = 17 - y
x - y = 29
x = 17 - y
17 - y - y = 29
x = 17 - y
17 - 2y = 29
x = 17 - y
- 2y = 29 - 17
x = 17 - y
-2y = 12
x = 17 - y
y = -6
x = 17 - (-6)
y = -6
x = 17 + 6
y = -6
x = 23
y = -6