Answer:
C
Step-by-step explanation:
Take a careful look at a(n) = 6(-8)^(n-1).
The first term is 6. This is the result if we let n = 1; 6(-8)^0 = 6(1) = 6. Thus, we can immediately eliminate possible answer choices A and D.
What's the next term? Knowing that the first term, a(1), is 6, the next term is found by multiplying this 6 by (-8)^1, obtaining -48.
The next (third) term is found by multiplying this -48 by (-8)^2, obtaining -48*(+64), or - 3072.
Note that the sign of (-8)^(n-1) alternates, being odd when n-1 is odd and even when n-1 is even.
Answer C is the correct one.
Answer:
b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
Step-by-step explanation:
The solution is correct up to the step 2x = 6x
2x = 6x
Subtract 2x from both sides.
0 = 4x
Divide both sides by 4.
x = 0
You cannot divide both sides by x since x could be zero, and in fact, it is.
Answer: b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
<span>If the nemesis has "7/8 of her cats plus 2" it can be written like this: 7/8 x + 2 = x, where x is the number of the cats. After that we can solve the equation. x - 7/8 x = 2; 1/8 x = 2; x = 2 : 1/8 = 2 * 8 = 16. Answer: The nemesis has 16 cats.</span>
Answer:
the value of m = 28°
Step-by-step explanation:
the sum of adjacent angles which form linear pair is 180°
so,
=》3m - 6° + 3m + 18° = 180°
=》6m + 12° = 180°
=》6m = 180° - 12°
=》m = 168° ÷ 6
=》m = 28°