In your lab, a substance's temperature has been observed to follow the function T(x = (x- 4)° + 6. The turning point of the graph is where the substance changes from a
liquid to a gas. Using complete sentences in your wrilten answer, explain to your
fellow scientists how to find the turning point of this function. Hint: The turning
point of the graph is similar to the vertex of a quadratic function. (10 points)

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.

68719476736

step-by-step explanation:

8*8*8*8*8*8*8*8*8*8*8*8=68719476736

a natural event such as a flood, earthquake, or hurricane that causes great damage or loss of life.

step-by-step explanation: