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prisoha [69]
3 years ago
6

Does the graph f(x)=-2x^2 -1 have a maximum or a minimum? Explain.

Mathematics
1 answer:
Serga [27]3 years ago
8 0

Answer:

It has a maximum

Step-by-step explanation:

The way I think about it is looking at "a" (the leading variable's coefficient, so __x²), if it's negative, the graph is a frown, but if it's positive, it's a smile. In this case, a is -2, so the graph would have the shape of a frown, which has a maximum.

I hope this helped!

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astraxan [27]
7 different ways is the answer
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2 years ago
A manufacturer of skis produces two types: downhill and cross country. The times required for manufacturing and finishing each s
pogonyaev

Answer:

So to maximize profit 24 downhill and 20 cross country shouldbe produced

Step-by-step explanation:

Let X be the number of downhill skis and Y the number of cross country skis.

Time required for manufacturing and finishing each ski are: manufacturing time per ski, downhill 2.5 hours, cross country 1.5 hours

Finishing time per ski: downhill 0.5 hours, cross country 1.5 hours.

Total manufacturing time taken = (2.5) x+ (1.5+) y = 2.5x+1.5y≤90

total finishing time taken = 0.5x+1.5 y≤42

Profit function

Z = 50x+50y

Objective is to maximize Z

Solving the two equations we get intersecting point is

(x,y) = (24,20)

In the feasible region corner points are (0.28) (36,0)

Profit for these points are

i) 2200 for (24,20)

ii) 1400 for (0,28)

iii) 1800 for (36,0)

So to maximize profit 24 downhill and 20 cross country shouldbe produced.

6 0
3 years ago
Solve for x. Round to the nearest tenth, if necessary.
galben [10]

Answer:

15.4

Step-by-step explanation:

sin 17° = 4.5 /x

x = 4.5 / sin 17° = 4.5 /0.2924

= 15.4

6 0
2 years ago
Read 2 more answers
a restaurant sells a coffee refill mug for $6.75. Each refill costs $1.25. Last month keith spent $31.75 on a mug and refills wr
evablogger [386]
y= 1.25x+6.75
Make 31.75 y because that is the total cost he paid.
1.25x+6.75=31.75
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So he had 20 refills. 
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3 years ago
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Eduardwww [97]

Answer:

value of blue dot is -6

Step-by-step explanation:

-6 is visible if you go 3 units to the left of -3. -3 - 3 = -6.

4 0
2 years ago
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