Simplifying
x4 + 7x3 + 12x2
Reorder the terms:
12x2 + 7x3 + x4
Factor out the Greatest Common Factor (GCF), 'x2'.
x2(12 + 7x + x2)
Factor a trinomial.
x2((4 + x)(3 + x))
Final result:
x2(4 + x)(3 + x)
Answer:
A
Step-by-step explanation:
First, let's find how much more money Ted needs to save.
$180 -$84= $96
Since he receives $12 a week,
Number of weeks= $96 ÷$12= 8
Thus, he needs to save for 8 more weeks.
Answer:
Tomorrow = 25 students
In 2 days = 44 students
In 40 days = 40 students
Step-by-step explanation:
Let A = watch more than an hour
B = watch less than an hour
First of all we need to make a transition matrix
Also we are given,
X = [100, 100]
A B
Therefore,
= [25, 175]
Thus, 25 students will watch television for an hour or more tomorrow.
Now for 2 days,
= [43.75, 156.25]
Hence, 44 students will watch television for an hour or more in 2 days.
Now in 40 days,
But instead of multiplying the above matrix 40 times, we can we can find the long term division method.
Let
x = long term distribution of students watching television >1 hour
y = long term distribution of students watching television <1 hour
Therefore,
⇒ 0.25 y = x
And we know that x + y = 200
∴ 0.25 y + y = 200
∴ y = 160
And x = 40 ( ∵ x + y = 200)
Thus 40 students will watch televisions in the 40 days for an hour or more.
Answer:
The answer is C.
How I got this:
$552.35 - $67.25 = $485.10
$485.10 / 7 = $69.30
I hope this helps!
-Mikayla
Using sampling concepts, it is found that convenient sampling was used by the researcher to find the volunteers to participate.
<h3>How are samples classified?</h3>
Samples may be classified as:
- Convenient: Drawn from a conveniently available pool.
- Random: All the options into a hat and drawn some of them.
- Systematic: Every kth element is taken.
- Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
- Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.
In this problem, the first 100 male and first 100 female students sampled are the ones who volunteer to participate, and volunteering is associated with convenient sampling.
More can be learned about sampling concepts at brainly.com/question/25122507