Which expression is equivalent to 96 ? A 24 B 816 C 48 D 416
1 answer:
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Answer:
The x-coordinate of the intersection of the lines is
Step-by-step explanation:
First you need to know the equation of the line that passes through the points (0,2) and (1,1).
The equation of the line in slope intercept form is y=m*x + b
By having two points, you can use them to find the slope m using the expression:
In this case (x1,y1)= (0,2) and (x2,y2)= (1,1). Replacing:
Now you can replace in the values of m, and the values of a point x and y into the equation y = mx + b to find the value of b.
1=(-1)*1 +b
So: 1=-1 +b
b=1+1
b=2
Then you have: y=-1*x +2
So you have the following system of equations:
Equating both equations you have:
-1*x+2= 3*x+3
Solving:
-1*x-3*x= 3-2
-4*x= 1
<u><em>The x-coordinate of the intersection of the lines is </em></u><u><em></em></u>
Answer: There are 456975758 plates that the state can issue.
Step-by-step explanation:
Since we have given that
Number of letters = 4
Number of numerals = 3
And 242 letter arrangements are not allowed.
As we have 26 letters i.e A-Z
and numerals i.e, 0-9
So, the number of plates would be
So, the restricted letters deducting would be
Hence, there are 456975758 plates that the state can issue.