First 3/8, second 2/3, and third 19/24
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 .
C is the answer.............
Answer:
x = 58
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
90 = 32+x
Subtract 32 from each side
90-32 = x
58 =x
Add the five to each side.
then square it to get rid of the square root
2x+13=(5+x)^2
2x+13=x^2+10x+25
2x=x^2+10x+12
x^2+8x+12=0
(x+6)(x+2)
x+6=0
x+2=0
answers are -2 and -6, however, when pluging -6 in it doesnt work, so it is only -2.
