Answer:
see explanation
Step-by-step explanation:
(a)
x² + 2x + 1 = 2x² - 2 ( subtract x² + 2x + 1 from both sides
0 = x² - 2x - 3 ← in standard form
0 = (x - 3)(x + 1) ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x - 3 = 0 ⇒ x = 3
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(b)
-
=
( multiply through by 15 to clear the fractions )
5(x + 2) - 2 = 3(x - 2) ← distribute parenthesis on both sides
5x + 10 - 2 = 3x - 6
5x + 8 = 3x - 6 ( subtract 3x from both sides )
2x + 8 = - 6 ( subtract 8 from both sides )
2x = - 14 ( divide both sides by 2 )
x = - 7
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(c) Assuming lg means log then using the rules of logarithms
log
⇔ nlogx
log x = log y ⇒ x = y
Given
log(2x + 3) = 2logx
log(2x + 3) = log x² , so
x² = 2x + 3 ( subtract 2x + 3 from both sides )
x² - 2x - 3 = 0
(x - 3)(x + 1) = 0
x = 3 , x = - 1
x > 0 then x = 3
<u>We are given:</u>Distance covered by the fastest man in 9 seconds = 100m
<u>To Find: </u>The distance covered in 1 min 2 seconds or 62 seconds
<u>Finding the Speed of the man:</u>
We know that:
speed = distance covered / time taken
Speed = 100 / 9 <em>(we are given that he travels 100 m in 9 seconds)</em>
Speed = 11.11 m/s
<u>Distance travelled in 62 seconds:</u>
We know that:
distance covered = speed * time
<em>replacing the value of speed and time</em>
Distance = 11.11 * 62
Distance = 688.82 m
Answer:
2=173
4=309
7=513
9=649
Step-by-step explanation:
Since she starts with 37MB already download 37 will be a constant and for every second she is home she downloads 68 more MBs so to get the answers for the table you just have to do 37+ 68*(the number of seconds)
2=37+68(2)=173
4=37+68(4)=309
7=37+68(7)=513
9=37+68(9)=649
Answer:
71
Step-by-step explanation:
72-7= 65
65+6=71