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Black_prince [1.1K]
3 years ago
10

Which of the following inequalities have the same solution set? Select all that apply (>= means greater than or equal to and

<= means less than or equal to) *
0 points
7n + 4 - 5n <= 2(n+2)
7 + 6a >= -4(2-a) -2a
2(x+4) - 4x>= -8
7-6a>= -6a -7
-3(n-4) >= 10-3n
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
5 0
<span>7n + 4 - 5n <= 2(n+2) Let's simplify these expression first 2n + 4 <= 2(n + 2) 2(n +4) = 2n + 4 The LHS and RHS expressions are the same but the inequality says contrary Hence 2n + 4 is not less than but equal to 2(n + 2). 7+ 6a >= -4(2-a) - 2a -4(2-a) - 2a = -8 + 4a - 2a = -8 + 2a. It should be obvious that 7 +6a is greater than the RHS expression. Suppose a= 2 then we have 7 + 6(2) = 19 while -8 + 2(2) = - 8 + 4 = -4 So it follows that 7 + 6a >= -4(2-4) -2a 4x >= 8. The expression is always true so the equal to option is out.</span>
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:) hope this helps

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Or more accurately, it's a bit over 1.9 million.

===========================================================

Explanation:

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Note that dividing any term by its previous term gets us the common ratio

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  • r = term3/term2 = 125/(-5) = -5

The r value must stay the same the entire time, or else the sequence isn't geometric.

The nth term of any geometric sequence is a*(r)^(n-1). With the 'a' and 'r' values we found, we update that to 5(-5)^(n-1)

-----------------

To verify that is the correct nth term expression, plug in various values of n to compare it with the given sequence.

If we tried n = 2 for instance, then we find the 2nd term is

5(-5)^(n-1) = 5(-5)^(2-1) = -25

which matches what your teacher gave you. I'll let you verify the other terms.

-----------------

The last thing we need to do is plug in n = 9 and simplify

5(-5)^(n-1)

5(-5)^(9-1)

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