If <span>, which statement </span>must<span> be true?
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Answer:
b1 = 2 ; r = 3
Step-by-step explanation:
Given that :
if b3 −b1 = 16 and b5 −b3 = 144.
For a geometric series :
Ist term = a
Second term = ar
3rd term = ar^2
4th term = ar^3
5th term = ar^4 ;...
If b3 - b1 = 16;
ar^2 - a = 16
a(r^2 - 1) = 16 - - - (1)
b5 - b3 = 144
ar^4 - ar^2 = 144
ar^2(r^2 - 1) = 144 - - - - (2)
Divide (1) by (2)
a(r^2 - 1) / ar^2(r^2 - 1) = 16 /144
a / ar^2 = 1 / 9
ar^2 = 9a
Substitute for a in ar^2 - a = 16
9a - a = 16
8a = 16
a = 2
From ar^2 - a = 16
2r^2 - 2 = 16
2r^2 = 16 + 2
2r^2 = 18
r^2 = 18 / 2
r^2 = 9
r = √9
r = 3
Hence ;
a = b1 = 2 ; r = 3
Answer:
The probability can be written as;
6/18
0.333
33.3%
Step-by-step explanation:
First we find the total number of marbles.
4 + 5 + 6 + 3 = 18
Now write the probability in the form of (favourable outcomes / possible outcomes), or 6/18.
Now let's divide.
6 ÷ 18 = 0.33333333... repeating decimal
0.333 × 100 = 33.33333.....%
We can also round this to 33%
Answer:
(1,5)
Step-by-step explanation:
2x-3(x+4)=-13 y=1+4
2x-3x-12=-13 y=5
-x-12=-13
+12
-x=-1/-1
x=1
Answer:
Step-by-step explanation:
Yes. The zeroes of a graph are the values of x where the graph touches (or crosses) the x-axis.
