Answer: -3
Step-by-step explanation:
(t-12)/2=(3t)/2-3
t-6=1.5t-3
t=3-6
t=-3
Hope this helps
9514 1404 393
Answer:
maximum: 8; no minimum
Step-by-step explanation:
A graph can be useful. I find a graphing calculator handy. It shows the maximum of the function is f(-1) = 8. Since the parabola goes to -∞ for large values of x, there is no minimum.
maximum: 8
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You can also find the maximum by putting the function in vertex form.
-3(x^2 +2x) +5 . . . . factor the leading coefficient from the x terms
-3(x^2 +2x +1) +5 -(-3)(1) . . . . add the square of half the x-coefficient, subtract the equivalent amount
-3(x +1)^2 +8 . . . . . . the vertex form of the expression for f(x)
This form is ...
a(x -h)^2 +k . . . . . with a=-3, h=-1, k=8
so the vertex is (h, k) = (-1, 8) -- the same as shown on the graph. The negative value of 'a' tells you the parabola opens downward, so the vertex is the maximum. The maximum is 8 at x = -1.
Answer: A
Step-by-step explanation:
15 packages damaged. Cost is -175.50 this is a loss. So 15x(-175.50)
Answer:
5 hours
Step-by-step explanation:
737mi / 11hr = 67mph
335mi / 67mph = 5hr
Rule needed: i^2 = -1
Standard form a + bi
(3 + 2i)(7 - 5i) FOIL
3 * 7 = 21
3 * - 5i = - 15i
2i * 7 = 14i
2i * -5i = - 10i^2 = - 10 * -1 = 10
Putting it all back together.
31 - i