hope that this answers your problem !
To solve this question, we first need to layout the equation
-2 1/2 -(-1 3/4)
Step 1
-2 1/2-(-1 3/4) ... Equation
Step 2
5/2-(-1 3/4) ... Converted to improper fraction
Step 3
5/2-(-7/4) ... converted to improper fraction
Step 4
5/2--7/4 ... Got rid of parenthesis
Step 5
-3/4 ... Subtract
Answer:
-3/4 ... Answer
So the answer for this problem is C, -3/4
The number of real solution of the system y = and y = 3x - 2 is zero
The system of equations are
y =
y = 3x - 2
Then the equation will be
= 3x - 2
Move 3x - 2 to the left hand side of the equation
- 3x + 2 = 0
Find the value of - 4ac
Here value of a = 3
The value of b = -3
The value of c = 2
Substitute the values in the expression
= - 4×3×2
= 9 - 24
= -15
Here the value of - 4ac is -15
Therefore there is no real valued solution
Hence, the number of real solution of the system y = and y = 3x - 2 is zero
Learn more about real solution here
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We are told that every 9th person gets free popcorn and every 6th person gets free apple juice at the movie theater. We want to show if the 36th person is the first to get both free popcorn and apple juice.
Since every 9th gets free popcorn, then the 9th and 18th and 27th and 36th people get it. We can use numbers and show this as multiples of 9.
9, 18, 27, 36, 45, 54, ...
And we repeat it for every 6th and the free juice.
6, 12, 18, 24, 30, 36,....
Shani thinks 36 comes first, and she's wrong. 18 appears on the list before 36 as something that's common. What are we finding is the lowest common muliple of 6 and 9.
6 = 2 x 3
9 = 3 x 3
The lowest common multiple will have a 2, a 3, and a second 3 (because we don't double count). 2 x 3 x 3 = 18. This matches up to the list of multiples.
Thus, Shani is wrong that the 36th person gets both free items, as she did not account for the 18th person gettting both free items
AB=12
AC=AB*sin30
=12*0.5=6
then you choose A
Hope this helps.
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