Which equation is the inverse of 2(x - 2)2 = 8(7 + y)?

Slope = 1.000/2.000 = 0.500

 x-intercept = 16/1 = 16.00000

 y-intercept = 16/-2 = 8/-1 = -8.00000

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 ((2 • (x - 2)) • 2) -  8 • (y + 7)  = 0

Step  2  :

Equation at the end of step  2  :

 (2 • (x - 2) • 2) -  8 • (y + 7)  = 0

Step  3  :

Equation at the end of step  3  :

 4 • (x - 2) -  8 • (y + 7)  = 0

Step  4  :

Step  5  :

Pulling out like terms :

5.1     Pull out like factors :

  4x - 8y - 64  =   4 • (x - 2y - 16)

Equation at the end of step  5  :

 4 • (x - 2y - 16)  = 0

Step  6  :

Equations which are never true :

6.1      Solve :    4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

6.2     Solve   x-2y-16  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x-2y-16  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 8/-1 so this line "cuts" the y axis at y=-8.00000

 y-intercept = 16/-2 = 8/-1  = -8.00000

Calculate the X-Intercept :

When y = 0 the value of x is 16/1 Our line therefore "cuts" the x axis at x=16.00000

 x-intercept = 16/1  = 16.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -8.000 and for x=2.000, the value of y is -7.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -7.000 - (-8.000) = 1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  1.000/2.000 =  0.500

Geometric figure: Straight Line

 Slope = 1.000/2.000 = 0.500

 x-intercept = 16/1 = 16.00000

 y-intercept = 16/-2 = 8/-1 = -8.00000

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answer: 193

explanation:

200-7 = 193

4 candies

step-by-step explanation:

7 x 28 = 196

200 - 196 = 4 candies remaining.