ElectricPavlov

g(f (x) ) =   2(ax+b) -5     for all x , this equals 3x+4    solve for a and b

2ax+2b - 5 = 3x+4

2ax = 3x     and   2b-5 = 4

a = 3/2       and  b = 9/2           I think you can add these together for the answer....  

Making 10 pounds

c = cashews

10-c = peanuts

(10-c) = p

c (6.5) + (10-c)(4.0) =  10 (4.75)      solve for c     then solve for p with the red equation

Zero IS between 1 and -1    TRUE

5 is GREATER than -3       this statement says y is LESS than -3       false

2019 - 5^4 - 6^4  = 97 = a^4 +b^4

81 +16 = a^4 + b^4

3^4 + 2^4   = a^4 + b^4

The maximum frictional force will be   c_sf  m g

  If the force is greater or equal to this, the mass will slide

c_sf m g  =  ma     This 'a' is the decelleration max magnitude when the mass , m , will slide

c_sf g = a

.75 (9.81) = 7.358 m/s^2  DEceleration

Hmmmm....  ALL 12 of my triangles have the equal side lengths of 1.....and 4 have bases 0f 3    I guess there is only two that can be found?

  The question says nothing about rotating/flipping being the same triangle.....   I still think there is 16.....reflected / rotated / flipped makes it another triangle in the diagram  .....   IMO  

Thrown horizontally....how long before it his the ground?

x = x₀ + v_i t+ 1/2 a t²     x = 0     xo = 36.7 m   vi =0   a = -9.81 m/s²

0=36.7 + 1/2 (-9.81) t²         solve for t = 2.735 seconds

v_f = vo + at

v_f = 0 -9.81(2.735) = -26.83 m/s   (negative because it is in downward direction)    if ya just want the magnitude: 26.83 m/s

Isosceles triangles?    I can find 12

(125 ft   x  6 ft ) x 2    /  100 ft²/hr  = 1500 ft²  / 100 ft²/hr = 15 hr

g(x) =  4 f(x)