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nataly862011 [7]
3 years ago
14

A car dealership offers customers two pricing options for vehicle repair. Option 1: pay $80 per hour of wok. Option 2: pay a sta

ndard fee of $100 plus $400 per hour of work. What is the initial value and the rate of change for option 1
Mathematics
1 answer:
Ierofanga [76]3 years ago
5 0

Answer:

1: The initial value for option one is not charged

The rate of change for option 1 is $80/hr

Step-by-step explanation:

1. From the pricing options at the car dealership we have;

Option 1

Initial value = Not stated

Fee rate per hour of work = $80

Option 2

Standard fee = $100

Fee rate per hour of work = $400

The initial value for option one is not charged

The rate of change = The increase in payment for each increase in one hour of work = $80/hour

Mathematically, we have;

The \ rate  \ of  \ change = \dfrac{\Delta Payment}{\Delta Time} = \dfrac{\$80 - \$0}{1 \, h- 0 \, h} = \$ 80/hr

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2 years ago
4<br> The points (2, r) and (4, -8) lie on a line with slope - 1. Find the missing coordinate r.
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R=-6


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6 0
3 years ago
Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:
ryzh [129]

First find the critical points of <em>f</em> :

f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7

\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1

\dfrac{\partial f}{\partial y}=6y=0\implies y=0

so the point (1, 0) is the only critical point, at which we have

f(1,0)=-7

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t

Find the critical points of <em>g</em> :

\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0

\implies\sin t=0\text{ OR }1+5\cos t=0

\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi

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t=0\implies f(10,0)=155

t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299

t=\pi\implies f(-10,0)=235

t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299

So <em>f</em> has a minimum of -7 and a maximum of 299.

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3 years ago
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Answer:

1410ft²

Step-by-step explanation:

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480 + (62 * 15) =

480 + 930 =

1410ft²

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Marianna [84]

Answer:

i think the answer would be 95 degree. im not absolutley positive though

Step-by-step explanation:

i added 35 and 50 and got the sum of 85 then i subtracted 85 from 180 and got 95

feedback is appreciated.

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