Answer:
x equals 4
Step-by-step explanation:
There are 20! number of ways for everyone to do this so that at the end of the move, each seat is taken by exactly one person.
People are seated in a 2 by 10 rectangle grid. All 20 persons stand up from their seats and relocate to an orthogonally neighboring one upon the blowing of a whistle.
Now, we have to find the number of possible ways in which each seat is taken up by exactly one person after the move.
As the number of people is 20 and 20 seats are to filled exactly once.
So, the number of ways = 20!
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Answer: Tammy's sample may not be vaild because she surveyed the students only from her class and it is likely that other classes might not like the subject maths. She might get the accurate results by surveying a larger number of people in the school instead of just her class.
1. Distributive Property.
<span>4(3a + 7) + 3(2a + 5)
12a + 28 + 6a + 20
2. Combine like terms
12a + 28 + 6a + 20
18a +48
The equivalent expression is 18a + 48. If a = anything then the expressions will still be equivalent.
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Answer:
The slope of the line representing the linear function f(x) is determined as
. The function f(x) is decreasing because the slope is less than zero, i.e., m<0.
Step-by-step explanation:
A linear function f(x) is given with two points, (2,3) and (0,4) lying on the line representing f(x).
It is asked to determine the slope of the line and state if the function is increasing or decreasing. of the value of the slope obtained.
Step 1 of 1
Determine the slope of the line.
The points as given in the question are (2,3) and (0,4). Now, the formula for the slope is given as

So, substitute
for
and
respectively, and
for
and
respectively in the above formula. Then simplify to get the slope as follows,
The slope of the line is obtained as
. Now, as
, so the function f(x) is decreasing.