Answer:
Step-by-step explanation:
(f*g)(x) = (-5x² + 2x + 7) (x +1)
= x* (-5x² + 2x + 7) + 1*(-5x² + 2x + 7)
= x*(-5x²) + x*2x + x*7 - 5x² + 2x + 7
= -5x³ + 2x² + 7x - 5x² + 2x + 7
= - 5x³ + <u>2x² -5x²</u> <u>+ 7x + 2x </u>+7 {Combine like terms}
= -5x³ - 3x² + 9x + 7
4) (f*g)(x) = (x² + 2x + 4)(x - 2)
= x*(x² + 2x + 4) - 2*(x² + 2x + 4)
= x*x² + x*2x + x*4 - 2*x² - 2*2x -2* 4
= x³ + 2x² + 4x -2x² -4x - 8
= x³ - 8
Answer:
Step-by-step explanation: Approx. cost of 1 ounce is $0.11.
So a 44 ounce bottle for $5.00 is a better deal.
Answer:
P(O|R)
Step-by-step explanation:
The conditional probability notation of two events A and B can be written as either P(A|B) or P(B|A).
The '|' sign is read as 'given'. So, P(A|B) is read as the probability of event A given event B which implies that it is the probability that event A will occur given that event B has already occurred.
In the question,
Event R = Person lives in the city of Raleigh
Event O = Person is over 50 years old
The statement says, 'given that the person lives in Raleigh' which means that event R has already occurred and we need to find the probability of event O (the randomly chosen person is over 50 years old).
Hence, this statement can be given in conditional probability notation as
P(O|R)
Answer:
4 cm.
Step-by-step explanation:
Given:
A box has a volume of 308 cm cubed.
Its height is 4 cm greater than its length.
Its length is 3 cm greater than its width.
Question asked:
What is the width of the box?
<u>Solution</u>:
Let width = 
Length = 
Height = 
<u>As we know:</u>
<u />
As width can never be in negative, 
By substituting the value:-
Width = = 4 cm
Thus, width of the box is 4 cm.
