Y = mx + b, where m = slope = rise/run and b, the y intercept value
m = 1/1 = 1, then y = x + b.
We notice that y intercept is = - 1
And the equation is:
y = x - 1
First let's define the variables of the problem:
t: Tip
b: dinner bill.
We write the inequality based on the following proposition:
"Maria would like to leave a tip (t) of at least 15% of her dinner bill (b)"
We have then that the inequation is:
t> = 0.15b
Answer:
An inequality best could be used to find the amount of the tip Maria would like to leave is:
t> = 0.15b
Given:
<span> Number of years 1 2 3
House 1 (value in dollars) 249,000 253,980 259,059.60
House 2 (value in dollars) 249,000 256,000 263,000
House 1: exponential function
House 2: linear function
House 1: f(x) = 249,000 * (1.02)^(x-1)
</span>→ f(3) = 249,000 * (1.02)³⁻¹ = 249,000 * (1.02)² = 259,059.60
House 2: f(x) = 249,000 + 7,000(x-1)
→ f(3) = 249,000 + 7,000(3-1) = 249,000 + 7,000(2) = 249,000 + 14,000 = 263,000
House 1:
f(45) = 249,000 * (1.02)⁴⁵⁻¹ = 249,000 * (1.02)⁴⁴ = 249,000 * 2.39 = 595,110
House 2:
f(45) = 249,000 + 7,000(45-1) = 249,000 + 7,000(44) = 249,000 + 308,000 = 557,000
House 1 will have a greater value than House 2 after 45 years.
It shows that a parabola can be described by tangents formed by lines with decreasing y-intercepts and equivalently increasing x-intercepts.
Which of the following is the simplified form of [1] fifth root of x times the [2] fifth root of x times [3] the fifth root of x times [4] the fifth root of x?
That's
![( \sqrt[5] x)^4 = x^{\frac 4 5}](https://tex.z-dn.net/?f=%20%28%20%5Csqrt%5B5%5D%20x%29%5E4%20%3D%20x%5E%7B%5Cfrac%204%205%7D)
That looks like the second choice.
