Answer:
Please find attached , the filled in boxes
The y-intercept is (0, 4)
Step-by-step explanation:
The given function is g(x) = ![4 \times (0.6)^x](https://tex.z-dn.net/?f=4%20%5Ctimes%20%280.6%29%5Ex)
The values of x are given as -10, -1, 0, 1, 2, 8
The values of g(x) are
g(-10) = 4 × 0.6⁽⁻¹⁰⁾ = 4 × (3/5)⁽⁻¹⁰⁾ = 4 × (5/3)⁽¹⁰⁾ = 661.53
g(-1) = 4 × 0.6⁽⁻¹⁾ = 4 × (3/5)⁽⁻¹⁾ = 4 × (5/3)⁽⁽¹⁾ = 20/3 =
g(0) = 4 × 0.6⁽⁰⁾ = 4 × (3/5)⁽⁰⁾ = 4 × 1 = 4
g(1) = 4 × 0.6⁽¹⁾ = 4 × (3/5)⁽¹⁾ = 12/5 = 2.4
g(2) = 4 × 0.6⁽²⁾ = 4 × (3/5)⁽²⁾ = 36/25 = 1.44
g(8) = 4 × 0.6⁽⁸⁾ = 4 × (3/5)⁽⁸⁾ = 0.0672
The y intercept is given at the point x = 0 which is g(0) = 4
The y-intercept is g(0) = 4
In plain and short, we'll simply divide 180 by (4+5+9), and give 4 pieces of those to the ratio of 4, 5 to the ratio of 5 and 9 to the ratio of 9, thus
A percent is value or part of a whole value . example 75.5 percent out of 100 percent
The value of the refrigerator after x years is given by the formula
y = -114.29x + 800
Let the original value of the asset be y₁
The original value of the refrigerator = $800
That is, at x₁ = 0, y₁ = 800
The refrigerator depreciates completely in 7 years. This means it has no value at the end of 7 years
Let the final value of the asset be y₂
The final value of the refrigerator at the end of 7 years = $0 (Since it depreciated completely)
That is, at x₂ = 7, y₂ = 0
The straight line depreciation formula is given as:
y - y₁ = m(x - x₁)
where m is the slope and is calculated as:
![m = \frac{y_2-y_1}{x_2-x_1} \\m = \frac{0-800}{7-0} \\m = \frac{-800}{7} \\m = -114.29](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%5C%5Cm%20%3D%20%5Cfrac%7B0-800%7D%7B7-0%7D%20%5C%5Cm%20%3D%20%5Cfrac%7B-800%7D%7B7%7D%20%5C%5Cm%20%3D%20-114.29)
Substitute x₁ = 0, y₁ = 800, and m = -114.29 into the equation:
y - y₁ = m(x - x₁)
y - 800 = -114.29(x - 0)
y - 800 = -114.29x
y = -114.29x + 800
The value of the refrigerator after x years is given by the formula
y = -114.29x + 800
Learn more here: brainly.com/question/19091134