Answer:
a) 
, b) 
Step-by-step explanation:
a) The indicator is equal to the ratio of total time to travelled distance:
Alex
b) In the case of Josh, the ratio must be greater than x. Then:
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:
3 + 19 - 11
Step-by-step explanation:
18 - 7 = 12
3 + 19 - 11
3 + 19 = 22
22 - 11 = 11
Answer: $543.7325
Step-by-step explanation:
room rate = $99.95 / night
Tax fee = 7% of room rate
Therefore, tax fee = 7% of $99.95
Tax fee = 0.07 × $99.95
Room charge =[$99.95 + 0.07($99.95)]
Room charge = 1.07($99.95) per night
Additional onetime untaxed fee = $9
Therefore for 5 nights :
Room charge = 5×[1.07($99.95)] +
Total room charge = 5×[1.07($99.95)] + one time untaxed fee
Total room charge = 5×[1.07($99.95)] + $9
= $543.7325
Answer:
Step-by-step explanation:
we have
solve for x
Group terms that contain the same variable and move the constants to the other side
