Answer:
A. -4
Step-by-step explanation:
F(-1) means we must plug the number "-1" in for each x.
F(x) = x^2 + 3x - 2
F(-1) = (-1)^2 + 3(-1) - 2
= 1 - 3 - 2
= -4
Hey there! Your answer is:
1,963
Step-by-step explanation:
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<span>You can get those ordered pairs subtracting 9-0.5, then that result minus 0.5 because from the rate the candle reduces its height 0.5inches per each hour.Part B: Is this relation a function? Yes, because each value of x has a single result or output in “y” (image)Part C: Yes, only difference is the time, the candle reduces its height 0.45 inches per each hour, examples of ordered pairs: (0,9) (1,8.55) (2,8.1)</span>
Answer:
y-1 = f(x)
Step-by-step explanation:
Here, we want to choose the equation for the ref graph
The red graph as we can see is above the black
This means it is more positive
The difference between the two is just 1 unit
By the addition of 1 to the y-value of the black graph, we get the red
Thus, we have that;
y- 1 = f(x)
P(x) that will be R(x) - C(x):
Note the use of parentheses! Without them we would not realize that both the 21 and the 98 should be subtracted.
Now that we have our profit function, we can see that:<span>Its graph will be a parabola because of the squared term.The parabola will open downward because of the negative coefficient, -2, in front of the squared term.The highest point (which would be the maximum profit) on the downward parabola would be the vertex of the parabola.</span>From the above we now know that we want to find the vertex of the profit parabola.
The x coordinate of the vertex of a parabola will be -b/2a where the "b" is the coefficient of the x term and the "a" is the coefficient of the x squared term. From p(x)= -2^2 + 34x-98
we can see that your "a" is -2 and your "b" is 34. So the x coordinate of the vertex (which is where the maximum profit is) will be: -34/-2=17