It is how much the x values can expand on a graph
You can’t solve this, not enough information
Solve the equation for
x
by finding
a
,
b
, and
c
of the quadratic then applying the quadratic formula.
Exact Form:
x
=
−
3
±
√
6
3
Decimal Form:
x
=
−
0.18350341
…
,
−
1.81649658
…
QUESTION 1
The given inequality is

We group like terms to get,

This implies that,
or
.
We simplify the inequality to get,
or
.
We can write this interval notation to get,
.
QUESTION 2
.
We group like terms to get,
.

We split the absolute value sign to get,
or 
This implies that,
or 
or 
or 
We can write this interval notation to get,
.
QUESTION 3
The given inequality is

We split the absolute value sign to obtain,
or 
This simplifies to
and 
and 
and 
and 

We write this in interval form to get,
![[-\frac{10}{3},2]](https://tex.z-dn.net/?f=%5B-%5Cfrac%7B10%7D%7B3%7D%2C2%5D)
QUESTION 4
The given inequality is

We split the absolute value sign to get,
or 
This simplifies to,
or 
This implies that,
or 
or 
or 
We write this in interval notation to get,

Answer:
a. 81.9
b. 144.7
c. 110.2
d. 48
Step-by-step explanation:
a. 120/109.2 = 90/x
x = 81.9
b. 45.6/120 = 55/x
x = 144.7
c. 304.8/96 = 350/x
x = 110.2
d. 109.2/45.6 = 115/x
x = 48