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tiny-mole [99]
3 years ago
7

Need help thank you:)

Mathematics
1 answer:
inna [77]3 years ago
8 0

Answer:

F = 1.8C + 32

Step-by-step explanation:

Given

The attached table

Required

The relationship between both temperatures

<em>This implies that we calculate the table equation</em>

First, we calculate the slope (m)

m = \frac{F_2 - F_1}{C_2 - C_1}

Where:

(C_1,F_1) = (0,32)

(C_2,F_2) = (20,68)

So, we have:

m = \frac{68 - 32}{20 - 0}

m = \frac{36}{20}

m = 1.8

The equation is then calculated using:

F = m(C - C_1) + F_1

This gives:

F = 1.8(C - 0) + 32

F = 1.8(C ) + 32

F = 1.8C + 32

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Gre4nikov [31]
A) zeroes

P(n) = -250 n^2 + 2500n - 5250

Extract common factor:

P(n)= -250 (n^2 - 10n + 21)

Factor (find two numbers that sum -10 and its product is 21)

P(n) = -250(n - 3)(n - 7)

Zeroes ==> n - 3 = 0  or n -7 = 0
Then n = 3 and n = 7 are the zeros.

They rerpesent that if the promoter sells tickets at 3  or 7 dollars the profit is zero.

B) Maximum profit

Completion of squares

n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4

P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000

Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000

Maximum profit =1000 at n = 5

C) Axis of symmetry

Vertex = (h,k) when the equation is in the form A(n-h)^2 + k

Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000

Vertex = (5, 1000) and the symmetry axis is n = 5.



8 0
3 years ago
A new car was valued at $28,000, and it's value depreciated to $14,000 over the next 3 years. Use the exponential equation for d
kompoz [17]
The exponential equation (in thousands) is:
V = 28 e^{-rt}
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Find value of car when t = 10
V = 28e^{-2.31} = 2.779
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Help please...........
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Answer:

it is 130 degrees

Hope this helps!! ;)

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Step-by-step explanation:

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