Question

HELP ME IN MY MATH QUESTION PLEASE(ᗒᗣᗕ)՞

1. One hundred meters of fencing is available to inclose a rectangular area next to a river (see figure above). Give a function A that can represent the area that can be enclosed in terms of x.

EVALUATE THE FOLLOWING FUNCTION AT X=1.5


`2. \: f(x) = 2x + 1`


`3. \: g(x) = . {x}^(2) - 2x + 2`

`4. \: g(x) = √(x + 1)`

`5. \: r(x) = (2x + 1)/(x - 1)`
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Answer 1

Explanation:

1) Let width = x

One side of the rectangle is covered by river. So only, 3 sides to be covered.

length = 100 - ( x + x) = 100 - 2x

Area of rectangle = length *width

= (100 - 2x)*x

f(x) = 100x - 2x^{2}

`2)f(x) =2x+1\\\\f(1.5)=2*1.5+1=3+1=4\\\\3)g(x)=x^(2)-2x+2\\\\g(1.5)=1.5^(2)-2*1.5+2\\\\=2.25-3+2\\\\=1.25\\\\4)g(x)=√(x+1)\\\\g(1.5)=√(1.5+1)=√(2.5)=1.58\\\\5)r(x)=(2x+1)/(x-1)\\\\r(1.5)=(2*1.5+1)/(1.5-1)\\\\=(3+1)/(0.5)\\\\=(4)/(0.5)\\\\=(4*10)/(0.5*10)\\\\=(40)/(5)\\\\=8`