Solve for x. Your answer must be simplified. x-24>_9
1 answer:
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<h2>Answer:</h2>
The graph is shown in the Figure below
<h2>Step-by-step explanation:</h2>In this exercise, we have an equation. On the left side we have a straight line with slope and there is no any y-intercept. On the right side, on the other had, we also have a straight line, but the slope here is
. Therefore, by plotting these two straight lines, we have that the solution is the origin, that is, the point
.
The number of permutations of picking 4 pens from the box is 30.
There are six different unique colored pens in a box.
We have to select four pens from the different unique colored pens.
We have to find in how many different orders the four pens can be selected.
<h3>What is a permutation?</h3>A permutation is the number of different arrangements of a set of items in a particular definite order.
The formula used for permutation of n items for r selection is:
Where n! = n(n-1)(n-2)(n-3)..........1 and r! = r(r-1)(r-2)(r-3)........1
We have,
Number of colored pens = 6
n = 6.
Number of pens to be selected = 4
r = 4
Applying the permutation formula.
We get,
=
= 6! / 4!
=(6x5x4x3x2x1 ) / ( 4x3x2x1)
= 6x5
=30
Thus the number of permutations of picking 4 pens from a total of 6 unique colored pens in the box is 30.
Learn more about permutation here:
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