<h2>
Hello!</h2>
The answer is: ![g(x)=-\sqrt[3]{x-1}](https://tex.z-dn.net/?f=g%28x%29%3D-%5Csqrt%5B3%5D%7Bx-1%7D)
<h2>
Why?</h2>
Let's check the roots and the shown point in the graphic (2,-1)
First,
![0=-\sqrt[3]{x-1}\\\\0^{3}=(-\sqrt[3]{x-1})^{3}\\\\0=-(x-1)\\\\x=1](https://tex.z-dn.net/?f=0%3D-%5Csqrt%5B3%5D%7Bx-1%7D%5C%5C%5C%5C0%5E%7B3%7D%3D%28-%5Csqrt%5B3%5D%7Bx-1%7D%29%5E%7B3%7D%5C%5C%5C%5C0%3D-%28x-1%29%5C%5C%5C%5Cx%3D1)
then,
![g(0)=-\sqrt[3]{0-1}\\g(0)=-(-1)\\g(0)=1\\y=1](https://tex.z-dn.net/?f=g%280%29%3D-%5Csqrt%5B3%5D%7B0-1%7D%5C%5Cg%280%29%3D-%28-1%29%5C%5Cg%280%29%3D1%5C%5Cy%3D1)
So, we know that the function intercepts the axis at (1,0) and (0,1), meaning that the function match with the last given option
()
Second,
Evaluating the function at (2,-1)
![y=-\sqrt[3]{x-1}\\-1=-\sqrt[3]{2-1}\\-1=-\sqrt[3]{1}\\-1=-(1)\\-1=-1](https://tex.z-dn.net/?f=y%3D-%5Csqrt%5B3%5D%7Bx-1%7D%5C%5C-1%3D-%5Csqrt%5B3%5D%7B2-1%7D%5C%5C-1%3D-%5Csqrt%5B3%5D%7B1%7D%5C%5C-1%3D-%281%29%5C%5C-1%3D-1)
-1=-1
It means that the function passes through the given point.
Hence,
The equation which represents g(x) is
Have a nice day!
Simplify 5/10 to 1/2
find the LCD of both fractions and that would be 18
make the denominators the same as the LCD
Simplify, now denominators are equal
join the denominators
simplify it now (23/-18)
convert to mixed fraction
Answer: -1 5/18.
Answer:
18.18
Step-by-step explanation:
total sum of angle of quadrilateral is 360
70+60+ 7x-4+4x-3=360
160-7 +11x =360
153 +11x =360
11x=360-153
x=207/11
x=18.18
The hypothesis is if you win the championship the conclusion is you will get the trophy
Let Y = total cost of both schools.
The total cost would be ( number of credits at Westside x 98) + (number of credits at Pinewood x 115).
The total number of credits he is taking is 14.
If w is the number of credits at Westside, then for Westside you have 98w ( $98 times the number of credit hours)
The equation is now y = 98w + (number of credits at Pinewood x 115).
The number of credit hours at Pinewood would be the total credit hours 14 minus the credit hours at Westside w, so you have 14-w, which needs to be multiplied by the cost at Pinewood.
The equation is now y = 98w + 115(14-w)
This can be simplified using the distributive property to:
Y = 98w + 1610 - 115w
Y = -17w + 1610
