Given: f(x) = 60(1.5)^x and
g(x) = 150(0.80)^x.

Use the table feature of your graphing calculator to find the value of x when f(x) = g(x). Find x to the nearest tenth.

  x = 1.5

Step-by-step explanation:

In order to determine when f(x) and g(x) are closest in value, it is convenient to look at their difference: f(x) -g(x). The table attached shows that has the smallest magnitude for x = 1.5 (when x is given to tenths).

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I find that graphing the curves gives a good clue as to the values that should be used in the table.

1.5

Step-by-step explanation:

60(1.5^x) = 150(0.8^x)

(1.5^x)/(0.8^x) = 150/60

(1.5/0.8)^x = 2.5

1.875^x = 2.5

x lg[1.875] = lg[2.5]

x = 1.457648917

x = 1.5

step-by-step explanation:

the answer is 89 d

i took the test

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)