The required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2
<h3>How to Simplify Algebraic Functions?</h3>
Given the functions;
f(x) = ∛4x
g(x) = 2x + 3
We want to find the resulting function (f/g)(x);
(f/g)(x) = f(x)/g(x)
Thus, (f/g)(x) = ∛4x/(2x + 3)
Restriction to the function occurs at the point where the denominator is equal to zero.
Thus;
2x + 3 = 0
2x = -3
x = -3/2
Thus, the required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2
Read more about Restriction Function at; brainly.com/question/23718282
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The answer is B. Every time someone buys a ticket it should go up 5 represented by 5(n). The product of your tickets and cost of ticket will be the total amount of money you made. So if 8 tickets were bought then it would be; t= 5(8). T=$40
The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
<h3>How to determine the characteristics of the roots of a quadratic equation by discriminant</h3>
Herein we have a <em>quadratic</em> equation of the form a · x² + b · x + c = 0, whose discriminant is:
d = b² - 4 · a · c (1)
There are three possibilities:
- d < 0 - <em>conjugated complex</em> roots.
- d = 0 - <em>equal real</em> roots (real and rational root).
- d > 0 - <em>different real</em> roots (real and irrational root).
If we know that a = 3, b = 7 and c = - 2, then the discriminant is:
d = 7² - 4 · (3) · (- 2)
d = 49 + 24
d = 73
The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
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Answer:
3
Step-by-step explanation:
Substitute what you know y is equal to into the equation:
y = x + 2
3/2x - 2 = x + 2
Then you can simplify your equation by multiplying both sides by 2 to eliminate the fraction which will give you:
3x - 4 = 2x + 4
Add the -4 to the other side to get 8 and subtract the 2x from the 3x so you have:
x = 8 Now solve for y by substituting your value for x into the other equation:
y = 3/2(8) - 2 Simplify by combining your numbers and you get:
y = 10 Check your answer by substituting y and x into the original equation:
(10) = (8) - 2
Correctly done! So your answers are x = 8 and y = 10