<em>Answer:</em>
The inequality that is true is -5 - 3x > 10.
<em>Step-by-step explanation:</em>
if x = -6
we can subtitution x to every inequality, so :
-5 - 3x > 10
-5 - 3(-6) > 10
-5 - (-18) > 10
-5 + 18 > 10
13 > 10 [true]
-3 - 5x < -14
-3 - 5(-6) < -14
-3 - (-30) < -14
-3 + 30 < -14
27 < -14 [false]
2 - x < -3
2 - (-6) < -3
2 + 6 < -3
8 < -3 [false]
So if x=-6, inequality true is -5 - 3x > 10.
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The answer is 5.83
Use the Pythagorean Theorem to calculate the 3rd side length.
a^2+b^2=c^2
3^2+5^2=c^2
Answer:
a = 0, b = 3
Step-by-step explanation:
3a + b = 3
b = - 3a +3
2a - 5b = - 15
2a - 5(-3a + 3) = - 15
2a + 15a - 15 = - 15
17a = 0
a = 0
b = -3a +3 = - 3 *0 +3 = 3
In this question it is already given that a person travels 8 miles in 0.5 hours. This is enough information to get to the required answer. Let us first write down all the information's that are already given in the question.
In 0.5 hours the person covers a distance = 8 miles
Then
In 1 hour the person covers a distance of = 8/0.5 miles
= 16 miles
So the speed of the person in miles per hour = 16/1 miles/hour
= 16 miles per hour
Answer:
Let f_n be the number of rabbit pairs at the beginning of each month. We start with one pair, that is f_1 = 1. After one month the rabbits still do not produce a new pair, which means f_2 = 1. After two months a new born pair appears, that is f_3 = 2, and so on. Let now n 
3 be any natural number. We have that f_n is equal to the previous amount of pairs f_n-1 plus the amount of new born pairs. The last amount is f_n-2, since any two month younger pair produced its first baby pair. Finally we have
f_1 = f_2 = 1,f_n = f_n-1 + f_n-2 for any natural n 3.
