Answer:x=3
Step-by-step explanation:
Add 4 to both sides and get 3x=5+4
Simplify 5+4 to 9 and get 3x=9
Divide both sides by 3 and get x=9/3
Simplify 9/3 to 3 and get the answer x=3
The 100th term of the sequence is 2130.
<h3>How to calculate the value?</h3>
a3 = a + 2d = 93
a5 = a + 4d = 135
Compute both equations
(4d - 2d) = (135 - 93)
2d = 42
d = 42/2 = 21
a + 2d = 93
a + 2(21) = 93
a + 42 = 93
a = 94 - 42 = 51
100th term will be:
= a + 99d
= 51 + 99(21)
= 51 + 2079
= 2130
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This is not a geometric sequence as the next number is found by adding 1.
Answer:
3 metres
Step-by-step explanation:
If y= distance (in meters) from the finish line
x= time in seconds after the beginning of the leg of relay race.
At x=0, when the race has not started,
From the runner's equation
y+4(0)=100
y=100 metres
Also, from his opponent's equation
y+3.8x=97
y+(3.8X0)=97
y=97
The distance needed by the runner to catch up to his opponent
= 100-97 =3 metres