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xeze [42]
2 years ago
13

F(x) = -7-3x + 6x^3+x^2

Mathematics
1 answer:
Monica [59]2 years ago
3 0

Answer: (0,-7)

Steps: To find y-intercept, substitute x=0

f(0)= -7-3×0+g×0^3 +0^2

Multiply & Evaluate powers

f(0)=-7-0+6×0+0

Remove zeros. Multiply.

f(0) -7+6×0 → f(0) -7+0

Remove the zero

f(0)=-7

Hope this helps ʕ•ᴥ•ʔ

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A hotel rents 210 rooms at a rate of $ 60 per day. For each $ 2 increase in the rate, three fewer rooms are rented. Find the roo
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r=$14,400

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Step-by-step explanation:

Revenue (r)= p * n

where,

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n = number of items sold

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Let the variable=x

Such that

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p - x means a one dollar price decrease

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n - x means a one item number-sold decrease

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know that at $60 per room, the hotel rents 210 rooms

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=12,600+240x-6x^2

r=2100+40x-x^2

= -x^2 +40x+2100=0

Solve the quadratic equation

x= -b +or- √b^2-4ac / 2a

a= -1

b=40

c=2100

x= -b +or- √b^2-4ac / 2a

= -40 +or- √(40)^2 - (4)(-1)(2100) / (2)(-1)

= -40 +or- √1600-(-8400) / -2

= -40 +or- √ 1600+8400 / -2

= -40 +or- √10,000 / -2

= -40 +or- 100 / -2

x= -40+100/-2 OR -40-100/-2

=60/-2 OR -140/-2

= -30 OR 70

x=70

The quadratic equation has a maximum at x=70

p+2x

=60+2(30)

=60+60

=$120

r= (60 + 2x) * (210 - 3x)

={60+2(30)}*{(210-3(30)}

r=(60+60)*(210-90)

=120*120

=$14,400

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