<h3>
Answer: Choice C</h3>
{x | x < -12 or x > -6}
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Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.
The word "is" in this kind of problem typically means "=", so we know that something =-8. Since we're finding the number, we should start with the closest thing in the phrase given to that number. In this case, it's 3/4x. Finally, since we have the "14 less than", we need to add that in. Your answer is:
3/4x-14=-8. Now we can just solve!
+14 +14
3/4x=6.
*4/3 *4/3
x=8.
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<em><u>Don't forget to rate this answer the </u><u>Brainliest</u><u>!</u></em>
The number of years value isn't given, we could use an hypothetical value, which can be substituted for the correct number of years given in your exercise in other to find the exact answer.
Using a t value of 10 years
Answer:
651558
Step-by-step explanation:
Given that:
Initial population, P0= 400,000
Growth rate, r = 5%
Using the relation :
P(t) = P0 * (1 + r)^t
t = number of years = 10
P(10) = 400000 * (1 + 0.05)^10
P(10) = 400000 * (1.05)^10
P(10) = 400000 * 1.628894626777
P(10) = 651557.8507
= 651558 nearest whole number.
Recall that, the t value used is hypothetical and should be replaces with te exact value given in your question.
