Answer:
its c
Step-by-step explanation:
Mean is 11.3 and the range is 4. Dont need to add 5 for all. Just do mean for the given options and add 5 at the end. Same with the range 9-5=4. Doesn’t change when you add 5 for all
C
Using the discriminant of a quadratic equation, if the graph is translated shifted up 4 units, the graph will have no x-intercepts.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:
The discriminant is:
The solutions are as follows:
- If , and it has 2 x-intercepts.
- If , it has 1 x-intercept.
- If , it has no x-intercepts.
In this problem, the function is given by:
f(x) = (x + 5)² - 3.
In standard form:
f(x) = x² + 10x + 22.
We want to find coefficient k for which the function has , then:
f(x) = x² + 10x + 22 + k.
The coefficients are a = 1, b = 10, c = 22 + k, hence:
10² - 4(22 + k) < 0
100 - 88 - 4k < 0
4k > 12
k > 3.
Hence, with k = 4, the function is shifted up 4 units, and the graph will have no x-intercepts.
More can be learned about the discriminant of a quadratic equation at brainly.com/question/19776811
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The answer is i=-z^2-2z/z+2