The pair two numbers whose difference is 14 and the product is as small as possible (i.e. -49) are (-7,7)
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In mathematical concepts, word problems involve a crucial understanding of the problem and knowing which mathematical method and arithmetic operations are best suited to solving the problem.
If we assume that the smaller number should be = a and the larger number = a + 14.
Thus, their product (X) can be expressed as:
= a(a+14)
= a² + 14a
The smallest possible value implies the minimum value, i.e.
Thus,
2a + 14 = 0
a = - 14/2
a = -7
Therefore, we can conclude that the pair of two numbers whose difference is 14 and the product is as small as possible (i.e. -49) is (-7,7).
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The question is:
The following function, L, gives the approximate percent literacy rate in India t years after 1900.
L(t)=5.3 x 1.025^t
Which of the following equivalent functions shows, as a constant or coefficient, the approximate number of years it took for the literacy rate to triple?
(a) L(t)=5.3 x 3^t/44.5
(b) L(t)=5.3 x 1.077^t/3
(c) L(t)=5.3 x 1.008^3t
(d) L(t)=3 x 1.025^t+23
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