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postnew [5]
3 years ago
8

solve 49x + 9 = 49x + 83. write two equations in one variable that have the same number of solutions as this equation.

Mathematics
1 answer:
Sever21 [200]3 years ago
7 0

Answer:

It has infinity solutions.

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The function f(x) varies directly with x, and f(x) = 45 when x = 9.
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Answer:

Option C = 15

Step-by-step explanation:

In principle when a function <em>f(x) </em>varies directly with <em>x</em> it suggests that any changes in x results in the equivalent changes in<em> f(x)</em>. If we have two variables, i.e. <em>y</em> representing<em> f(x)</em> and <em>x</em> representing itself, any increment/decrement in <em>x</em> will result to the same increment/decrement in <em>y</em> by a factor <em>a, thus we can say that y = ax, implying y and x have the same ratio. </em>

In the given question we know that <em>f(x) = 45</em> when x=9<em>, </em>which translates as

f(x=9) = 45

This tells us that f(x) varies by a factor (lets call it) a for a given value of x.

To find this factor we can just divide 45 with 9 which gives: \frac{45}{9} = 5

Thus the factor a here is a=5 which finally tells us that

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f(x=3)= 5*3

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f(3) = 15

Looking at the given options in the question we can conclude that the correct answer is Option C = 15

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