Answer:
x = -8, y = 6
Step-by-step explanation:
x + 2y = 4 ------(1)
x + y = - 2
y = - x - 2 ----------(2)
Substitute y in (1)
x + 2(- x - 2) = 4
x - 2x - 4 = 4
- x = 4 + 4
x = -8
Substitute x in (2)
y = - (- 8) - 2 = 8 - 2 = 6
Answer:
Step-by-step explanation:
Factor top and bottom.
The numerator is a difference of two squares, and the denominator is a quadratic.
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If x does not equal -1 and does not equal 4, we can cancel the common factors in italics to give
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Answer:
There are a total of 23 cars with air conditioning and automatic transmission but not power steering
Step-by-step explanation:
Let A be the cars that have Air conditioning, B the cars that have Automatic transmission and C the cars that have pwoer Steering. Lets denote |D| the cardinality of a set D.
Remember that for 2 sets E and F, we have that

Also,
|E| = |E ∩F| + |E∩F^c|
We now alredy the following:
|A| = 89
|B| = 99
|C| = 74

|(A \cup B \cup C)^c| = 24
|A \ (B U C)| = 24 (This is A minus B and C, in other words, cars that only have Air conditioning).
|B \ (AUC)| = 65
|C \ (AUB)| = 26

We want to know |(A∩B) \ C|. Lets calculate it by taking the information given and deducting more things
For example:
99 = |B| = |B ∩ C| + |B∩C^c| = 11 + |B∩C^c|
Therefore, |B∩C^c| = 99-11 = 88
And |A ∩ B ∩ C^c| = |B∩C^c| - |B∩C^c∩A^c| = |B∩C^c| - |B \ (AUC)| = 88-65 = 23.
This means that the amount of cars that have both transmission and air conditioning but now power steering is 23.
Area of triangle=1/2bh
Area=248ft
Base=x
Height=2x-1
248=1/2×x×(2x-1)........
$23.63 just multiply 3.4 by $6.95