Answer:
f(x) + g(x) = x² - 10x + 9
General Formulas and Concepts:
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² - 11x + 18
g(x) = x - 9
<u>Step 2: Find f(x) + g(x)</u>
- Substitute: f(x) + g(x) = x² - 11x + 18 + x - 9
- Combine like terms (x): f(x) + g(x) = x² - 10x + 9
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The table below is a quadratic function.
<h3>What is a quadratic function?</h3>
A quadratic function is an Algebraic function with the power of its variable as 2.
This function normally has three algebraic terms, the x-square term, the x-term and the constant term.
Analysis:
The X-column values increases from -2 to 1, while the f(x) column which is the y-column increase from -9, until it gets to 1, where the value falls to -5.
A typical behavior of an inverted-v curve which is a quadratic curve.
If it were a linear function, as x values increase, y value would either keep increasing or decreasing, it does not change its orientation.
Learn more about quadratic curves: brainly.com/question/1214333
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Answer:
1. 60% (decrease by 40%)
3. 30% (decrease by 70%)
5. 250% (Increase by 150%)
7. 40% (Decrease by 60%)
9. 171.4% (increase 71.4%)
11. 152.6% (Increase by 52.6%)
Step-by-step explanation:
1. 20x = 11 = 0.55 rounds to 0.6 => 60%
3. 56 x = 14 = 0.25 rounds to 0.3 => 30%
5. 18x = 45 = 2.5 => 250%
7. 126x = 48 = 0.38 rounds to 0.4 => 40%
9. 42x = 72 = 1.714 => 171.4%
11. 95x = 145 = 1.526 => 152.6%
Multiply both sides by 4/3 to isolate h.
60 * 4/3 = 3/4h * 4/3
Now we just have to calculate
80 = h
h is equal to 80
Answer:
h(x) = 3^(x + 1)
Step-by-step explanation:
The exponential function is;
g(x) = 3^(x)
Now, in transformation of exponential functions of say f(x) = b^(x), when the new function g(x) is created by stretching by a factor of say c along the y-axis, we have;
g(x) = c•b^(x)
In this question, we are told it is stretched by a factor of 3 along the y-axis.
Thus, new function h is;
h(x) = 3 × 3^(x)
Using law of indices, we have;
h(x) = 3^(x + 1)
