<em>I believe that the answer should be A. </em>
Answer:2x−5=−5
Add 5
to both sides of the equation.
2x=−5+5
Add −5
and 5
.
2x=0
Divide each term by 2
and simplify.
Divide each term in 2x=0
by 2
.
2x2=02
Cancel the common factor of 2
.
Cancel the common factor.
2
x2=02
Step-by-step explanation:
Apply the distributive property.
x⋅2+2⋅2−9=−5
Move 2
to the left of x
.
2⋅x+2⋅2−9=−5
Multiply 2
by 2
.
2x+4−9=−5
Subtract 9
from 4
.
George C.
Jul 24, 2018
(
x
+
2
)
(
x
+
6
)
2
=
0
Explanation:
Given:
x
3
+
14
x
2
+
60
x
+
72
=
0
By the rational roots theorem, any rational zeros of the given cubic are expressible in the form
p
q
for integers
p
,
q
with
p
a divisor of the constant term
72
and
q
a divisor of the coefficient
1
of the leading term.
That means that the only possible rational zeros are:
±
1
,
±
2
,
±
3
,
±
4
,
±
6
,
±
8
,
±
9
,
±
12
,
±
18
,
±
24
,
±
36
,
±
72
In addition, note that all of the coefficients are positive and the constant term is non-zero. As a result, any real zero (rational or otherwise) of this cubic must be negative.
So that leaves rational possibilities:
−
1
,
−
2
,
−
3
,
−
4
,
−
6
,
−
8
,
−
9
,
−
12
,
−
18
,
−
24
,
−
36
,
−
72
We find:
(
−
2
)
3
+
14
(
−
2
)
2
+
60
(
−
2
)
+
72
=
−
8
+
56
−
120
+
72
=
0
So
x
=
−
2
is a zero and
(
x
+
2
)
a factor:
x
3
+
14
x
2
+
60
+
72
=
(
x
+
2
)
(
x
2
+
12
x
+
36
)
Without trying any more of our "possible" zeros, we can recognise the remaining quadratic factor as a perfect square trinomial:
x
2
+
12
x
+
36
=
x
2
+
2
(
x
)
(
6
)
+
6
2
=
(
x
+
6
)
2
So the factored form of the given cubic equation can be written:
(
x
+
2
)
(
x
+
6
)
2
=
0
Answer:15 %
Step-by-step explanation:Explanation - Given that Rex's weight changed from 8
Answer:
2.13% (rounded to nearest thousandth)
Step-by-step explanation:
You subtract 24 from 23.5 to get 0.5
Then you divide 0.5 by 23.5 to get 0.02127
Then you multiply that by 100 to get your percent error
