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
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* 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.
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Brainly provides tools for properly rendering math symbols. 2-11 is not the same as ≥-11.
Answer:
72$
Step-by-step explanation
How to insert in a calculator 90-20%= 72
How to take 20% from a price
Divide the original price by 5. <em>18</em>
Subtract this new number from the original one. <em>90 - 18 </em>
The number you calculated is the discounted value. <em>90 - 18 = </em><u><em>72</em></u>
Rachel spends 6 hours 45 minutes a week trying to learn to play the violin.
Step-by-step explanation:
Step 1; Rachel learns for 45 minutes a day from Monday through Friday and in the weekend she learns to play the violin for one and a half hours. So she learns for the following periods of time
Monday - 45 minutes
Tuesday - 45 minutes
Wednesday - 45 minutes
Thursday - 45 minutes
Friday - 45 minutes
Saturday - 90 minutes (60 × 1.5 hours)
Sunday - 90 minutes (60 × 1.5 hours)
Step 2; To determine how much time she practices in a week we just add the individual times she plays on each day.
Total time practices in a week = 45 + 45 + 45 + 45 + 45 + 90 + 90 = 405 minutes = 6 hours 45 minutes.
Answer:
-1/2
Step-by-step explanation:
slope is rise over run
or y change divided by x change
to find the slope you need to find points on the graph that meet exact points on the graph
i see (0,1) and (2,0)
to find slope without graph it would be (y2-y1)/(x2-x1)
in this case (0-1)/(2-0)
=-1/2
with graph you can count that it goes down -1 squares and to the right 2 squares
hope this helps
Answer:
5 hours
Step-by-step explanation:
1. Find out how many dollars he earned on Saturday
3 x 6 = 18
He earned 18 dollars on Saturday.
2. Subtract 18 from 48 since that is from Saturday, not Sunday
48 - 18 = 30
3. Divide 30 by 6 to see how many hours he worked on Sunday
30/6 = 5
