Answer:
{y | y ≥ -11 }
Step-by-step explanation:
To answer a question like this, it is often helpful to graph the function or to rewrite it to vertex form.
f(x) = 3x^2 +6x -8
f(x) = 3(x^2 +2x) -8 . . . . factor the leading coefficient from x terms
f(x) = 3(x^2 +2x +1) -8 -3(1) . . . . complete the square*
f(x) = 3(x +1)^2 -11
The form of this equation tells you that the graph is a parabola that opens upward. Its vertex is (-1, -11), so the minimum value is -11. The range is the vertical extent of the function values, so goes upward from -11:
y ≥ -11
_____
* Vertex form is ...
f(x) = a(x -h)^2 +k
where "a" is the vertical scale factor and (h, k) is the vertex. When "a" is positive, the parabola opens upward; when it is negative, the parabola opens downward.
The square is completed by adding the square of half the x-coefficient inside parentheses, and subtracting the equivalent amount outside parentheses. Here, we had 2x inside parentheses, so we added (2/2)^2 = 1 inside and -3(1) outside, because "a" was 3.
_____
Brainly provides tools for properly rendering math symbols. 2-11 is not the same as ≥-11.
Answer:
40
Step-by-step explanation:
it's 8+8+8+7+9 so it's gonna be 40
Answer:
7.0909090909 hope this helps!!
The inequality for this situation is given by 50 + p > 85
<h3>What is an
inequality?</h3>
An inequality is an expression that shows the relationship between two or more numbers and variables.
Let p represent number of pages from Monday to Friday.
Jerome wants to have read at least 85 pages by the end of the day on Friday, hence:
50 + p > 85
The inequality for this situation is given by 50 + p > 85
Find out more on inequality at: brainly.com/question/24372553