Answer:
x=3
Step-by-step explanation:
2
x
+
3
=
9
We want to find the variable
x
, so we have to make it alone. To do so, first subtract
3
from both sides of the equation:
2
x
+
3
−
3
=
9
−
3
2
x
=
6
Now divide both sides by
2
:
2
x
2
=
6
2
So the final answer is:
x
=
3
Hope this helps!
Answer:
The answer is D
Step-by-step explanation:
Answer:
The increase is 1150.
11.5 times the original value, or 1150% of it. That's a big increase, and I would not buy that thing, whatever it is.
Let the length be x and the width be w
The perimeter will be:
2x+3w=1500
thus
3w=(1500-2x)
w=(1500-2x)/3
w=500-2/3x
The area will be:
A=x*w
A=x(500-2/3x)
A=500x-(2/3)x²
The above is a quadratic equation; thus finding the axis of symmetry we will evaluate for the value of x that will give us maximum area.
Axis of symmetry:
x=-b/(2a)
from our equation:
a=(-2/3) and b=500
thus
x=-500/[2(-2/3)]
x=375
the length will be 375 m
The width will be 250 m
