The error Vincent made was that he only multiplied the left side of the inequality with 6 although he had to multiply on both sides
Step-by-step explanation:
Given inequality that the teacher wrote is:
Solving an inequality means that the variable should be isolated on left side of the inequality.
So multiplying both sides by 6
Vincent got the answer is x<-2 = > The error Vincent made was that he only multiplied the left side of the inequality with 6 although he had to multiply on both sides
Keywords: Inequality, solution
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Answer:
D.
Step-by-step explanation:
(x-3)(x+1)(x+5)
2.50 / 8 = 0.3125.
8 * 3 = 24
<span>0.3125 * 4 = 1.25</span>
2.50 * 3 = 7.5 + 1.25
= 8.5
8.5 should be final answer.
First, a bit of housekeeping:
<span>The meaning of four consecutive even numbers is 15. Wouldn't that be "mean," not meaning? Very different concepts!
The greatest of these numbers is _______ a^1
"a^1" means "a to the first power. There are no powers in this problem statement. Perhaps you meant just "a" or "a_1" or a(1).
The least of these numbers is ______a^2.
No powers in this problem statement. Perhaps you meant a_2 or a(2)
In this problem you have four numbers. All are even, and there's a spacing of 2 units between each pair of numbers (consecutive even).
The mean, or arithmetic average, of these numbers is (a+b+c+d) / 4, where a, b, c and d represent the four consecutive even numbers. Here this mean is 15. The mean is most likely positioned between b anc c.
So here's what we have: a+b+c+d
------------- = 15
4
This is equivalent to a+b+c+d = 60.
Since the numbers a, b, c and d are consecutive even integers, let's try this:
a + (a+2) + (a+4) + (a+6) = 60. Then 4a+2+4+6=60, or 4a = 48, or a=12.
Then a=12, b=14, c=16 and d=18. Note how (12+14+16+18) / 4 = 15, which is the given mean.
We could also type, "a(1)=12, a(2)=14, a(3) = 16, and a(4) = 18.
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