Answer:
Step-by-step explanation:
a) 3x^2-12x-11=3*x^2-3*2*2*x+3*4-23=3*(x^2-2*2x+2^2)-23=3*(x-2)^2-23
so a= -2 ,b= -23
b) x1=[12+V(12^2-4*3* -11)]/6=12/6+V(144+132)/6=2+2/6V69=2+1/3V69=
2+V69/9=2+V23/3
c=2, d= 23/3
( x approaches 2 from the left )
( x approaches 2 from the right )
Answer:2.75 or 11/4
Step-by-step explanation:
Use the surface area formula of a rectangular prism to find the width. (I have changed it to use the same terms given in the problem).
A
=
2
(
d
w
+
h
w
+
h
d
)
Because of the given information, it is known that:
A
=
208
h
=
8
d
=
6
The width is not know, so let it keep it's variable
w
. But substitute the other values into the equation:
A
=
2
(
d
w
+
h
w
+
h
d
)
208
=
2
[
6
w
+
8
w
+
(
8
)
(
6
)
]
208
=
2
(
14
w
+
48
)
Use the distributive property to solve the right side of the equal sign:
208
=
2
(
14
w
+
48
)
208
=
28
w
+
96
112
=
28
w
112
28
=
w
4
=
w
The width is
4
.
Answer:
Take the square roots of the numerator and denominator separately.
Explanation:
===============
If your instructor wants a decimal answer, take the square root of the numerator.
= 1.072
