Answer:
2
Step-by-step explanation:
The constant of proportionality is the slope
m = (y2-y1)/(x2-x1)
m = (4-0)/(2-0)
=4/2
=2
Answer: When you plug in an x-value into a function's derivative, the y-values you get back FROM THE DERIVATIVE tell you the slope of a tangent line to the original function at that value of x.
Step-by-step explanation:
Hey You!
The two are related because they both use the same three numbers. For example:
6 × 3 = 18 3 × 6 = 18
Or,
18 ÷ 3 = 6 18 ÷ 6 = 3
The sum of the two <em>rational</em> equations is equal to (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²).
<h3>How to simplify the addition between two rational equations</h3>
In this question we must use <em>algebra</em> definitions and theorems to simplify the addition of two <em>rational</em> equations into a <em>single rational</em> equation. Now we proceed to show the procedure of solution in detail:
- (n + 5) / (n² + 3 · n - 10) + 5 / (3 · n²) Given
- (n + 5) / [(n + 5) · (n - 2)] + 5 / (3 · n²) x² - (r₁ + r₂) · x + r₁ · r₂ = (x - r₁) · (x - r₂)
- 1 / (n - 2) + 5 / (3 · n²) Associative and modulative property / Existence of the multiplicative inverse
- [3 · n² + 5 · (n - 2)] / [3 · n² · (n - 2)] Addition of fractions with different denominator
- (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²) Distributive property / Power properties / Result
To learn more on rational equations: brainly.com/question/20850120
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Answer:
x=1
Step-by-step explanation:
8+2x-7x=5(x-3)-2(6x-8)
8+2x+7x=5x-15-12x+16
8+15-16=5x-12x-3x-7x
23-16=-7x-3x-7x
17=-17x
x=1
