Answer:
The fourth answer choice is the correct one: 2(x - 3)
Step-by-step explanation:
2x²-18x+36/x-6 should be factored, as follows:
2(x²-9x+18) / (x-6) = 2(x - 3) (x - 6) / (x - 6)
Substituting x = 6 would result in division by zero and is thus not allowed.
Remembering this, we can reduce 2(x - 3) (x - 6) / (x - 6) to 2(x - 3) for x≠6.
Answer:
The total number of matches expected to be won by Lakewood Wildcats in this season is 20.
Step-by-step explanation:
The number of games played by Lakewood Wildcats = 7
Number of matches won by Lakewood = 5
or, the ratio of Won : Played = 5: 7
Total numbers of games in the season = 28
Let the Lakewood Wildcats win m number of games.
Here, ratio of Won Matches : Played Matches = m : 28
Now, by RATIO OF PROPORTIONALITY:
⇒
or, m = 20
Hence, the total number of matches expected to be won by Lakewood Wildcats out of total 28 matches is 20.
Answer:
Step-by-step explanation:
Half life is the time taken by a radioactive substance to reduce of half of its original size
If the half life of radium is 1600, this means that the original radioactive substance N0 have reduced to N0/2 after 1600 years
if we are given N0 = 1000grams
The amount of the substance that will remain after 1600 years will be N0/2 i.e 1000/2 = 500g
<em>Hence 500 grams of radium will be left after 600years</em>
Answer:
true
Step-by-step explanation:
(-3) -(-4.25) = -3 + 4.25 = 1.25 (positive)
Let f(x) = ax³ + 9x² + 4x – 10
g(x) = 0⇒x - 3 = 0
⇒ x = 0 + 3
⇒ x = 3
On dividing f(x) by x - 3, it leaves a remainder 5.
Now keeping, f(3) = 5
⇒a(3)³ + 9(3)² + 4(3) - 10 = 5
⇒ a × 27 + 9 × 9 + 4 × 3 - 10 = 5
⇒ 27a + 81 + 12 - 10 = 5
⇒ 81 + 12 - 10 - 5 = 27a
⇒ 81 + 12 - 15 = 27a
⇒ 93 - 15 = 27a
⇒ 78 = 27a
⇒ a = 27/78
⇒ a = 0.3461
