Carter wants to know how often his classmates go to amusement parks. He asks the following question: “Did you go to an amusement
1 answer:
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Answer:
1,808,352,000 different license plates can be issued using this configuration
Step-by-step explanation:
The order is important. For example, if the letters are EM, it is already a different plate than if the letters were ME. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
Four letters
In the alphabet, there are 26 letters. In the place, there are 4. So permutations of 4 from a set of 26.
Four digits
There are 10 digits. In the plate, there are four. So permutations of 4 from a set of 10
Total
Multiplying these values
358800*5040 = 1,808,352,000
1,808,352,000 different license plates can be issued using this configuration
y = - x - 2
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 2x + 5y = 10 into this form
subtract 2x from both sides
5y = - 2x + 10 ( divide all terms by 5 )
y = - x + 2 ← point- slope form with slope m = -
Parallel lines have equal slopes hence
y = - x + c is the partial equation of the parallel line
to find c, substitute ( 5, - 4 ) into the partial equation
- 4 = - 2 + c ⇒ c = - 4 + 2 = - 2
y = - x - 2 ← equation of parallel line