Academy sports equipment sore is having a sale on bike helmets and water bottles. One bike club purchased 10 helmets and 2 water bottles for $155. Another bike club purchased 12 helmets and 3 water bottles for $189. Write and solve a system of equations to determine the cost each a helmet and water bottle?

Find the gradient of f(x,y,z)equals=left parenthesis x squared plus y squared plus z squared right parenthesis superscript negative 1 divided by 2 baseline plus ln left parenthesis x right parenthesis x2+y2+z2−1/2+ln(xyz) at the point left parenthesis negative 2 comma 1 comma negative 2 right parenthesis(−2,1,−2).

Which of the following is true for the relation f(x)=2x^2+1

Afarmer has a large field that is x feet in length. he wants to fence in a rectangular section in the middle of the field , leaving a length of 100 feet of open field behind each end of the fenced rectangle.he also wants the width of the fenced-in space to be 100 feet less than its length. find the expressions to represent the length and width of the fenced section of the field