Answer:
A. length = 23 cm; width = 5 cm
Step-by-step explanation:
So if 4 times the width would be
and 3 more than would be
, the equation would be
. If the perimeter is 56, then the new equation,
can be formed. This simplifies to
, then to
, then to
, and finally,
. So the width is 5, and now plug it into the first equation.
, becomes
, becomes
.
So the dimensions are: length = 23 cm, width = 5 cm.
*And just to be sure,
which is correct.
Step-by-step explanation:
let width =x
length=x+14
....
perimeter=96=2*(L+W)
96=2*(X+X+14)
96=4x+28
96-28=4x
68=4x
/4
68/4=x
17=x the width
length = 17+14=31m
....
Check
17+17+31+31=96
I hope it's helpful!
Answer:

Step-by-step explanation:
<u>Rational Inequality</u>
We are given the solution of rational inequality:
(-2,-1) U (1,∞)
The first set suggests a limited zone than can be obtained by a quadratic equation of the form:

Where a and b are the roots of the equation, which coincide with the endpoints of the interval. Thus, to get the interval, we can use:

Operating:

The second set is an open infinite interval, that can be modeled as a third binomial that changes signs in x=1 and is in the denominator, so x=1 is not included.
Thus, one possible inequality is:
