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Answer:
f(8) = -30 is the maximum
Step-by-step explanation:
The equation is that of a parabola in vertex form:
y = a(x -h)^2 +k . . . . . . . . (h, k) is the vertex; 'a' is the scale factor
Comparing this form to the given equation, we have ...
f(x) = -(x -8)^2 -30
That is, the scale factor is -1, and the vertex is (8, -30).
When the scale factor is negative, the graph opens downward and the vertex is a maximum. The maximum value is -30.
Answer:
Third graph
Step-by-step explanation:
First, find the solution to the equation of inequality given.
2k + 8 < 5k - 1
Subtract 5k from both sides
2k + 8 - 5k < 5k - 1 - 5k
-3k + 8 < -1
Subtract 8 from both sides
-3k + 8 - 8 < -1 - 8
-3k < -9
Divide both sides by -3. (Note: < will change to > when dividing both sides with negative number)
>
k > 3
The graph that will represent this solution will show that all values of k are greater than 3. 3 is not included as a solution. The "o" on top of the 3 on the number line won't be shaded to indicate that 3 is not included. And also, the arrow will point from 3 towards our right.
Therefore, the 3rd graph is the answer.