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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

[tex]2. \: f(x) = 2x + 1[/tex]

[tex]3. \: g(x) = . {x}^{2} - 2x + 2[/tex]
[tex]4. \: g(x) = \sqrt{x + 1} [/tex]
[tex]5. \: r(x) = \frac{2x + 1}{x - 1} [/tex]


HELP ME IN MY MATH QUESTION PLEASEᗒᗣᗕ1 One Hundred Meters Of Fencing Is Available To Inclose A Rectangular Area Next To A River See Figure Above Give A Function class=

Sagot :

Answer:

Step-by-step 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}

[tex]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)=\sqrt{x+1}\\\\g(1.5)=\sqrt{1.5+1}=\sqrt{2.5}=1.58\\\\5)r(x)=\dfrac{2x+1}{x-1}\\\\r(1.5)=\dfrac{2*1.5+1}{1.5-1}\\\\=\dfrac{3+1}{0.5}\\\\=\dfrac{4}{0.5}\\\\=\dfrac{4*10}{0.5*10}\\\\=\dfrac{40}{5}\\\\=8[/tex]