The number of nano-related patents that are granted in the us increases by a factor of 1.2 every year. in 1991 there were 60 nano-related patents.
which expression gives the number of patents in 1998?

The number of Nano - related patents in 1998 is 65.22

Step-by-step explanation:

Given as

The number of Nano - related patents in the year 1991 = 60

The rate of their increases by factor of 1.2 every year

So , the number of patents after 7 years in 1998 is :

Final Number = Initial number

Or,  Final Number = 60

Or, Final number  = 60

I.e Final number   = 65.22

Hence the number of patents in 1998 is 65.22  Answer

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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