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oksian1 [2.3K]
3 years ago
13

Find the value of f(9) and g(-9) if f(×) = -7×-9 and g(×) = 6×3-23×

Mathematics
1 answer:
Vlada [557]3 years ago
8 0

Answer:

f(9)= -72

g(-9)= 225

Step-by-step explanation:

First put the original equation

f(x)=-7x-9

Next plug in the number f(9)

f(9)=-7(9)-9

After multiply -7(9) which gets you -63

f(9)=-63-9

Then subtract -63-9 which gets you -72

f(9)=-72

-----------------------------------------------------------

First put the original

g(x)=6x3-23x

Next plug in the number g(-9)

g(-9)=6x3-23(-9)

After multiply 6x3 which gives you 18 then multiply -23(-9)

g(-9)=18+207

then add 18+207 which gives you 225

g(-9)=225

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Answer:

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A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint
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If all things can be made at the same time, then it would look something like this(all numbers should be rounded down):

127 of Prep: Wreath:127/3 = 42 prepped
127 of Prep: Tree:127/14 = 9 prepped
127 of Prep: Sleigh:127/4 = 31 prepped

104 of Painting: Wreath:104/2 = 52 painted(but because only 42 were prepped, your number will be 42 still)
104 of Painting: Tree:104/3 = 34 painted(As stated above, but with only 9)
104 of Painting: Sleigh:104/17 = 6 painted(this number will overwrite the number of prepped sleighs as only 9 could be painted in the allotted time.)

133 of Firing: Wreath:133/9 = 14 ready to go
133 of Firing: Tree:133/4 = 33(but only nine were painted so the number ready to go is 9) 
133 of Firing: Sleigh:133/7 = 19(but only 6 are ready to go)

Final Results: Wreath - 14
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Solving the quadratic function, it is found that the range is of:

between 200 and 250; inclusive

The profit for x tours is modeled by the following equation:

p(x) = -2x^2 + 900x - 40000

It is concave down, so the monthly profit will be of at least $60,000 between the two roots when p(x) = 60000. Thus:

60000 = -2x^2 + 900x - 40000

2x^2 - 900x + 10000 = 0

Simplifying by 2:

x^2 - 450x + 50000 = 0

Which has a = 1, b = -450, c = 50000

Then:

\Delta = (-450)^2 - 4(1)(50000) = 2500

x_{1} = \frac{-(-450) + \sqrt{2500}}{2} = 250

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A similar problem is given at brainly.com/question/25181401

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