Graph attached. To graph by hand find the values at 1 and 3 by plugging it into the original function and drawing a line between the two.
2(1)-2 = 0 Point (1,0)
2(3)-2 = 4 Point (3,4)
Using P(A∪B) = P(A) + P (B) - P(A∩B)
If we apply this in the question
Then P(S∪T) = P(S) + P(T) - P (S∩T)
= 6/11 + 1/10 - P (S∩T)
= 71/110 - P (S∩T)
But events S and T are mutually exclusive events therefore,
P(S∩T) = 0,
Hence P(S∪T) = 71/110
You need to find the perimeter so your units would be feet.
LETTER B
Step-by-step explanation:
#1.
(a + 2b)²
<em>Using identity (x + y)² = x² + 2xy + y², we get:</em>
= (a)² + (2b)² + 2 × (a) × (2b)
= a² + 4b² + 4ab
= a² + 4ab + 4b² Ans.
#2.
(5x - 3y)²
<em>Using identity (a - b)² = a² - 2ab + b², we get:</em>
= (5x)² + (3y)² - 2 × (5x) × (3y)
= 25x² + 9y² - 30xy
= 25x² - 30xy + 9y² Ans.
#3.
(3a + 4)(3a - 4)(9a² + 16)
<em>Using identity (x + y)(x - y) = x² - y², we get:</em>
= [(3a)² - (4)²][9a² + 16]
= (9a² - 16)(9a² + 16)
= (9a²)² - (16)²
= 81a⁴ - 256 Ans.
Answer:
67
Step-by-step explanation:
subtract 90 from 23 and you should have what you need to save.
