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r-ruslan [8.4K]
3 years ago
14

Find the maximum value of the function f(x) = -1.9x^2 + 24x – 71.3 to the nearest hundredth.

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
4 0
Being that the system is quadratic—with parabola opening downwards—you’re going to need to find the vertex. You can find the x coordinate of the vertex with -b/2a . Then plug in for x to find the y coordinate…
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In a talent show of singing and comedy acts, singing acts are 5 minutes long and comedy acts are 3 minutes long. The show has 12
pogonyaev

Answer:

  • 7 singing acts
  • 5 comedy acts

Step-by-step explanation:

If all were comedy acts, the 12 of them would take 36 minutes. To make the show last 14 minutes longer, there must be 7 singing acts, since each adds 2 more minutes to the show than does a comedy act.

There are 7 singing acts and 5 comedy acts in the show.

_____

If you need an equation, let s represent the number of singing acts. Then the show length is ...

  5s +3(12 -s) = 50

  2s + 36 = 50 . . . . . eliminate parentheses

  2s = 14 . . . . . . . . . . subtract 36 (the time for 12 comedy acts)

  s = 7 . . . . . . . . . . . . divide by 2. This is the number of singing acts.

  12 -s = 5 . . . . . . . . . the rest of the acts are comedy acts

8 0
3 years ago
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I wanna know how to answer this question
damaskus [11]

The first one will have more of a equal taste but the second one will have more of an orange taste than a orange soda taste


7 0
4 years ago
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15.
abruzzese [7]

<span>Another name for an if-then statement is a ____. Every conditional has two parts. The part following if is the ____ , and the part following then is the ____.
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<span>conditional; hypothesis; conclusion

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3 years ago
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Using the quadratic formula to solve 2x2 = 4x – 7, what are the values of x? O 2+ 101 O 1: 107 2+ 101 2. O 1+ W5i​
balandron [24]

i dont know how to delete but this is wrong. sorry

Answer: X = 2.75

Step-by-step explanation: 2x2 = 4x-7

4 = 4x-7

11 = 4x

11 \ 4

X = 2.75

8 0
3 years ago
A new car has a sticker price of $25,550, while the invoice price paid on it was
Hoochie [10]

Answer:

21.7%

Step-by-step explanation:

(25,550-19,990) / 25,550 = 5,560/25,550 = 0.217612524462 or  21.7% increase

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3 years ago
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