Answer:
y= -1/23
Step-by-step explanation:
The equation y(5)-4y(4)+4y(3)=1 can be solved thus:
Work on brackets first:
5y-16y+12y=1
Add up y values
5y-28y=1
Divide both sides of equation
-23y=1
y=1/-23
Therefore the value of y is -1/23
Sample Space for coin=H,T
n(S)=2
n(head)=1
P(of getting a head)=1/2
Sample Space for die=1,2,3,4,5,6
n(S)=6
n(odd numbers)=3
P(of getting an odd number)=3/6=1/2
P(of getting a head on the coin and an odd number on the die)=1/2 + 1/2 =1
Probability expressed as a percentage=1*100%=100
Answer:
y = -1
Step-by-step explanation:
1y + 14 = -4y + 9
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Add 4y and subtract 14 from both sides:
1y (+4y) + 14 (-14) = -4y (+4y) + 9 (-14)
1y + 4y = 9 - 14
5y = -5
Divide 5 from both sides:
(5y)/5 = (-5)/5
y = -5/5 = -1
-1 is your answer for y.
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Answer:
f(-4) = ⅑
Step-by-step explanation:
Given
f(x) = 9(3)^x
Required.
Find f(-4)
f(x) = 9(3)^x
Substitute -4 for x
f(-4) = 9(3)^(-4)
Apply laws of indices
f(-4) = 9 * 1/(3⁴)
f(-4) = 9 * (⅓)⁴
f(-4) = 9 * 1/81
f(-4) = 9/81
Simplify
f(-4) = ⅑