Hi there! The answer is g(x)=(x+3)^2.
The function g(x) is translated 3 to the left.
A translation to the left will change the function the following way (p represents the translation to the left):
Therefore the answer is g(x)=(x+3)^2.
We need to find the probability of the event:
having blue eyes or blond hair
This event is the union of the events:
A: having blue eyes.
B: having blond hair.
So, we need to find the probability P(A ∪ B). In order to do so, we can use the following formula:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
We know that the probability of the intersection of A and B (having both) is
P(A ∩ B) = 24%
Also:
P(A) = 43%
P(B) = 46%
Then, using those values into the above formula, we find:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
P(A ∪ B) = 43% + 46% - 24%
P(A ∪ B) = (43 + 46 - 24)%
P(A ∪ B) = 65%
Answer:
Step-by-step explanation:
Let the numbers are 2x and 2x + 2.
<u>We have:</u>
- (2x + 2x + 2)² = (2x)² + (2x + 2)² + 48
- 4(2x + 1)² = 4x² + 4(x + 1)² + 48
- (2x + 1)² = x² + (x + 1)² + 12
- 4x² + 4x + 1 = x² + x² + 2x + 1 + 12
- 2x² + 2x - 12 = 0
- x² + x - 6 = 0
- (x - 2)(x + 3) = 0
- x = 2, x = -3
<u>The numbers are:</u>
120
OA = OB
angle OAN = 90 degrees, so OAB and OBA is both 30 degrees.
