the fourth term of a sequence is 40. write the first 5 terms of two different sequences that satisfy that condition
1 answer:
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<h3>3 Answers: Choice D, Choice E, Choice F</h3>
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Explanation:
The inequality 6x - 10y ≥ 9 solves to y ≤ (3/5)x - 9/10 when you isolate y.
Graph the line y = (3/5)x - 9/10 and make this a solid line. The boundary line is solid due to the "or equal to" as part of the inequality sign. We shade below the boundary line because of the "less than" after we isolated for y.
Now graph all of the points given as I've done so in the diagram below. The points in the blue shaded region, or on the boundary line, are part of the solution set. Those points are D, E and F.
We can verify this algebraically. For instance, if we weren't sure point E was a solution or not, we would plug the coordinates into the inequality to get...
6x - 10y ≥ 9
6(5) - 10(2) ≥ 9 .... plug in (x,y) = (5,2)
30 - 20 ≥ 9
10 ≥ 9 ... this is a true statement
Since we end up with a true statement, this verifies point E is one of the solutions. I'll let you check points D and F.
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I'll show an example of something that doesn't work. Let's pick on point A.
We'll plug in (x,y) = (-1,1)
6x - 10y ≥ 9
6(-1) - 10(1) ≥ 9
-6 - 10 ≥ 9
-16 ≥ 9
The last inequality is false because -16 is smaller than 9. So this shows point A is not a solution. Choices B and C are non-solutions for similar reasons.
Answer:
The total number of eligible voters in the town = 1224 ( app.)
Step-by-step explanation:
Let us assume the total number of eligible voters = p
Now, the number of votes received by Stan Fitz = 542
The number of votes received by Elizabeth Stuckey = 430
The number of votes received by Gene Sterner = 130
So, the total number of votes received in total = 542 + 430 + 130 = 1,102
Now, only the 90% of total voters p voted in the election.
⇒ 90% of p = 1102
or, p ≈ 1224
Hence, the total number of eligible voters in the town = 1224 ( app.)