Answer:
Step-by-step explanation:
g(x)=ax²+3x-5
then g(-1)=-15
therefore g(-1) ⇒ a(-1)²+3(-1)-5=-15
a-3-5=-15
a-8=-15
a=-15+8
a=-7
for g(-1)=-15
then g(x)= -7x²+3x-5
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:
1/5
Step-by-step explanation:
60 /5 = 12
So there are 12 red, 12 orange, 12 yellow, 12 green, 12 purple
P(green) = green/ total = 12/60 = 1/5
0.600 is ur answer Hopes this helps u.
Answer:
about 0.7 miles
Step-by-step explanation:
When you draw a diagram of the problem, you see that the shortest distance back to the course is the distance traveled times the sine of the angle:
distance off course = (14 mi/h)×(2 h)×sin(1.4°) ≈ 0.684 mi
The ship is about 0.7 miles from its intended course.
