Step-by-step explanation:
To start, every term has an
x
in common, so we can factor that out. Doing this, we get
x
(
x
2
+
x
−
42
)
=
0
What I have in blue can be factored by a thought experiment. What two numbers have a sum of
1
and a product of
−
42
?
After some trial and error, we arrive at
−
6
and
7
. Thus, this business can be factored as
x
(
x
−
6
)
(
x
+
7
)
=
0
We can leverage the zero product property here, setting all three terms equal to zero. As our zeroes, we get
x
=
0
,
x
=
6
, and
x
=
−
7
Answer:
t=18 years
Step-by-step explanation:
A year has two semesters, then
n = 2v(t)=p(1+r/2)2t
3875.79 = 1900∗(1+(0.04/2))^2t
2.0398895 = (1+0.042)^2t
Apply natural logarithm on both sides
ln(2.0398895) = ln[(1+0.042)^2t]
Then simplify,
0.712896 = 2t∗ln(1.02)
t = 0.712896 / (2∗ln(1.02))
t=18 years
Answer:
x= 1.5
Step-by-step explanation:
positive its correct.
Answer:
- The interval [9, 10] is 1,375% greater than the interval [5, 8].
- The interval [9, 10] is 14.75 times greater than the interval [5, 8].
Step-by-step explanation:
1. To solve this problem you must apply the following formula:
2. Let's calculate the average rate of change of each interval:
a) Interval [9,10]:
b) Interval [5,8]:
3. The difference is:
4. In percentage:
5. You have that the interval [9,10] is 14.75 times greater than the interval [5,8], as you can see below:
