Answer:
C. <em>c</em> is less than zero
Step-by-step explanation:
The parent radical function y=x^(1/n) has its point of inflection at the origin. The graph shows that point of inflection has been translated left and down.
<h3>Function transformation</h3>
The transformation of the parent function y=x^(1/n) into the function ...
f(x) = a(x +k)^(1/n) +c
represents the following transformations:
- vertical scaling by a factor of 'a'
- left shift by k units
- up shift by c units
<h3>Application</h3>
The location of the inflection point at (-3, -4) indicates it has been shifted left 3 units, and down 4 units. In the transformed function equation, this means ...
The graph says the value of c is less than zero.
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<em>Additional comment</em>
Apparently, the value of 'a' is 2, and the value of n is 3. The equation of the graph seems to be ...
f(x) = 2(x +3)^(1/3) -4
Answer:
-x^2 - 11x -30
Step-by-step explanation:
Solve using foiling. Ignore the -1 to begin with and just look at the part in parenthesis. Do x from the first parenthesis times the stuff in the second parenthesis.
ie: x(x) and x(6)
ie: x^2 + 6x
Then do the 5 times the things in the second parenthesis.
ie: 5(x) and 5(6)
ie: 5x + 30
Then add what you got from multiplying the first value to what you got from multiplying the second.
ie: x^2 + 11x + 30
This is a trinomial because it has three different variables. Now change all the signs to negative because of the -1 out front.
ie: -x^2 - 11x -30
Seven hundred and and eighty thousand
Answer:
No solution
Step-by-step explanation:
Note how "2x" shows up in both equations. This suggests doing a substitution to solve the system.
Focus first on the first equation. Solving 2x - y = 7 for 2x, we get:
2x = y + 7.
Next, we substitute y + 7 for 2x in the second equation:
y = (y + 7) + 3.
Simplifying this produces:
0 = 10
This is not true and can never be true. Thus, this system has no solution.
