Let f(x)=7x3−2x−12f(x)=7x3-2x-12 and g(x)=−3x3−8x2+10xg(x)=−3x3-8x2+10x . what is the function rule for (f+g)(x)(f+g)(x) ? a: (f+g)(x)=4x6−8x2+8x−12(f+g)(x)=4x6− 8x2+8x−12 b: (f+g)(x)=4x3−8x2+8x−12(f+g)(x)=4x3− 8x2+8x−12 c: (f+g)(x)=4x3−12x2+8x−12(f+g)(x)=4x3 −12x2+8x−12 d: (f+g)(x)=4x6−8x2+12x−12

Solve the system of equations. y= 2x y= x^2 - 15

Given that abcd is a rhombus, what is the value of x?

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.