Answer: 15
Step-by-step explanation:
10x+4=12x-26
Add 26 to both sides; 10x+30=12x
subtract 10x from both sides; 30=2x
divide both sides by 2; x=15
Answer:
Step-by-step explanation:
The Earth, Sun and Moon form a right triangle.
By the definition of cosine in a right triangle we can write that
cos x ° = adjacent side /hypothenuse = y/ distance Moon Sun
Since we measured the angle x, and the distance y we can use algebra to find the unknown distance between the moon and the Sun.
distance Moon Sun = y/cos x°
The derivative of the function is 2x/(3+x²).
<h3>What is Derivative?</h3>
The derivative is the instantaneous rate of change of a function with respect to one of its variables.
Given function:
y= ln(3+x²)
Differentiating and applying chain rule
=1/(3+x²) d/dx(3+x²)
=1/(3+x²) (2x)
= 2x/(3+x²)
Hence, the derivative of the function is 2x/(3+x²).
Learn more about derivative here:
brainly.com/question/124529
#SPJ1
Answer:
The online survey has large biases concerning representativeness. Regarding the behavioural characteristics of consumers, the face-to-face data delivers the best results, followed by the telephone interviews and finally the online survey.
Face-to-face surveys still deliver the most representative results. Telephone surveys may provide a good alternative, but we would advise use of a larger sample. The online survey needs to be corrected, one should relinquish representativeness.
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
#SPJ1
