Answer:
6x² – 10y² + 2xy + 10
Step-by-step explanation:
We'll begin calculating the sum of
x² + 3y² – 6xy and 2x² – y² + 8xy + 8
This can be obtained as follow:
... x² + 3y² – 6xy
+ 2x² – y² + 8xy + 8
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3x² – 2y² + 2xy + 8
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Next, we shall determine the sum of:
–3x² + 4y² + 3 and 4y² – 5
This can be obtained as follow:
–3x² + 4y² + 3
+ 4y² – 5
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–3x² + 8y² – 2
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Finally, we shall subtract the sum of:
–3x² + 4y² + 3 and 4y² – 5
from the sum of:
x² + 3y² – 6xy and 2x² – y² + 8xy + 8
This can be obtained as follow:
.. 3x² – 2y² + 2xy + 8
– (–3x² + 8y² – 2)
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
6x² – 10y² + 2xy + 10
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Answer:
Option E.
Step-by-step explanation:
Given information:
Air conditioning = 88
Automatic transmission = 96
power steering = 76
All three = 4
None of these extras = 19
Only air conditioning = 23
Only automatic transmissions = 61
Only power steering = 28
Both automatic transmission and power steering = 11
Place these values and draw a venn diagram as shown below.
Calculation for missing values:



From the given diagram it is clear that the number of cars that had air conditioning and automatic transmission but not power steering is 24.
Therefore, the correct option is E.
Answer:
what? I don't get it?
Step-by-step explanation:
Answer:
49, 49 , 98
Step-by-step explanation:
AC = AB + BC = 2AB
- 3x - 31 = 2(x+6)
- 3x - 31 = 2x + 12
- 3x - 2x = 12 +31
- x = 43
AB= BC = x + 6 = 43 + 6 = 49
AC = 2AB = 2* 49 = 98