Answer:
P(x) = 
- 7x² + 12
Step-by-step explanation:
Given zeros x = 2, x = - 2, x = 
, x = -
Then the factors are (x - 2), (x + 2), (x - ), (x + )
and the polynomial is the product of the factors, that is
P(x) = (x - 2)(x + 2)(x - )(x + ) ← expand in pairs using FOIL
= (x² - 4)(x² - 3) ← distribute
= - 3x² - 4x² + 12 ← collect like terms
= - 7x² + 12
There are 12 possible outcomes.....three of these will be a "7" ...so...
A "7" should occur 1/4 of the time
If each player pays 20p to play.....the school will take in 120 * 20 = 2400p
However.......1/4 of the players should win = 30 players.....and each lollipop costs 30p.....so......the school should spend 30 * 30 = 900p for the prizes
So......the school should raise 2400 - 900 = 1500p if 120 people play the game
Answer:
Step-by-step explanation:
is given value in dollars of a stock in t months after it is purchased.
a) Substitute 1 for t
V(12) = 
b) Find derivative for V
c) When V(t) = 75
d) As t tends to infinity, exponent being in negative t tends to 0
So V tends to 42(1-0)+36 = 78
Answer:
4
Step-by-step explanation:
Write an equation of a line in slope-intercept form for the given conditions.
-intercept and -intercept
(Hint: Write the intercepts as ordered pairs)
Start with an equation summing all the angles in this triangle:
180 = <M + <N + <P
we are given <M and <N but not <P. But, since MN=NP, the angle <P is the same as the angle <M (isosceles, make a drawing to see). So
180 = 2<M + <N
180 = 2(3x+1) + x-11
180 = 7x - 9
x = 27
<P = 3*27+1 = 82 degrees
