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:
The correct answer is D. -2,592, -15,552, -93,312
Step-by-step explanation:
Each of the terms is the previous term multiplied by 6. You can find this by taking any term and dividing it by the one before it. The answer will always be 6.
-72/-12 = 6
-12/-2 = 6
So, in order to find the next 3, we take the last term and multiply it by 6.
-432 * 6 = -2,592
-2,592 * 6 = -15,552
-15,552 * 6 = -93,312
<span>7745.96669241 is the square root...hope it helps :)</span>
Answer:
Egg salad sandwich is proportional to its length
Step-by-step explanation:
Weight of Sandwiches by Length of Roll
6-inch Roll 12-Inch Roll
Cheese sandwich 
Chicken salad sandwich 
Egg salad sandwich 
For cheese sandwich proportion
So, Cheese sandwich weight is not proportional to its length
For Chicken salad sandwich proportion
So, chicken salad sandwich is not proportional to its length
For Egg salad sandwich proportion
So, egg salad sandwich is proportional to its length
M < 7 / 12
(1) < 7 / 12
(1) < 0.583333333 (false statement)
(-1) < 7 / 12
(-1) < 0.583333333 (true statement)
(-9) < 7 / 12
(-9) < 0.583333333 (true statement)
(-5) < 7 / 12
(-5) < 0.583333333 (true statement)
B C D maybe?
