Answer:
events over the sample space
<h3>
Two possible answers: 6 or -6</h3>
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Explanation:
r = common ratio
To get any term in a geometric sequence, we multiply the previous term by r.
So that means 4r is the second term, since 4 is the first term.
The third term is (4r)*r = 4r^2, which is equal to 9 as given to us.
4r^2 = 9
4r^2 - 9 = 0
(2r)^2 - (3)^2 = 0
(2r - 3)(2r + 3) = 0 ... difference of squares rule
2r-3 = 0 or 2r+3 = 0
2r = 3 or 2r = -3
r = 3/2 or r = -3/2
r = 1.5 or r = -1.5
We can use each r value to find the possible second term
S = 4r = 4*(1.5) = 6
S = 4r = 4*(-1.5) = -6
The second term is either 6 or -6.
We could have this sequence: 4, 6, 9, ...
Or we could have this sequence: 4, -6, 9, ...
The answer is false
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Answer:
x=15
Step-by-step explanation:
This is a simultaneous equation
2x-3y=45 ------------------------------ equation i
x+y=10 -------------------------------equation ii
from equation ii
x+y=10
make x the subject of the matter
we have,
x=10-y
in equation i
substitute x for 10-y
2x-3y=45----------------------i
since x=10-y
we have,
2(10-y) - 3y=45
20-2y=3y=45
collect like terms
-2y-3y=45-20
-5y=25
divide both sides by -5
we have y=-5
substitute y for-5 in equation i
x+y=10
x+-5=10
collect like terms
x=10+5
x=15
therefore
x=15
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