Answer:
Option B. 5P5 × 20P15
Step-by-step explanation:
It is very important to remember that the second grade students are sitting in the front row, therefore, it is only necessary to organize 15 first grade students in 20 seats.
Permutations allow you to calculate the number of ways in which m objects can be arranged in n positions.
The permutation of m in n is written as:
nPm
Where n is the number of elements and m are chosen.
The way in which the 5 second grade students can be organized in the 5 seats is from the first row is:
5P5
Then, the number of ways in which 15 first-year students can be organized into 20 seats is:
20P15
Then, the number of ways to organize all students on the bus is the product of both permutations
5P5 * 20P15
Answer:
Let x represent the number of minutes.
Lets y represents the number of beats.
Now consider the graph, when the time is equal to 1 min, the total beats are 60. We can say that this point can be taken in a coordinate plane as (1,60).
Similarly, when time is equal to 2 mins, total beats are 120, and when time is equal to 3 mins, total beats are equal to 180 mins. So the these points on the coordinate plane can be represented as (2,120) and (3,180)
Plot all the three points, and draw a line which joins them and extend the line. The line shows the proportionality relation between both values
Step-by-step explanation:
If a triangle is rotated 90° about the origin.
The rule that describes the transformation is
(x, y) → (–y, x)
Answer:
the percentage profit is 20%
Step-by-step explanation:
Given that
Sean paid £10 for 24 chocolate bars
He sold all 24 chocolate bars for 50p each
we need to find out the percentage profit
Since he paid £10 and sale value is (24 × 0.50) i.e. £12
So, the percentage profit is
= (£12 - £10) ÷ (£10)
= 20%
Hence, the percentage profit is 20%
The question is as following:
<span>How does the graph of g(x)=1/x-5+2 compare to the graph of the parent function f(x)=1/x ?
</span>
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Solution :
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The given function ⇒

The parent function of the given function ⇒

By graphing both of the equations as shown in the attached figure.
So, we can conclude the following
<span>g(x) is shifted 5 units right and 2 units up from f(x).
</span>
So, the correct answer is option 2<span />