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LUCKY_DIMON [66]
4 years ago
5

A company can make 60 computers for $58,200, and can make 90 computers for $85,200. write an equation that represents the cost,

c, of x computers.
Mathematics
1 answer:
Eddi Din [679]4 years ago
6 0
(60,58200) , (90,85200)
slope = (85200 - 58200) / (90 - 60) = 27,000/30 = 900

y = mx + b
slope(m) = 900
(60,58200)...x = 60 and y = 58200
sub and find b, the y int
58200 = 900(60) + b
58200 = 54000 + b
58200 - 54000 = b
4200 = b

ur equation is : C(x)  = 900x + 4200 <== ur equation

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Step-by-step explanation

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8 0
4 years ago
A ladder 20 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2
alukav5142 [94]

Answer:

0.17 °/s

Step-by-step explanation:

Since the ladder is leaning against the wall and has a length, L and is at a distance, D from the wall. If θ is the angle between the ladder and the wall, then sinθ = D/L.

We differentiate the above expression with respect to time to have

dsinθ/dt = d(D/L)/dt

cosθdθ/dt = (1/L)dD/dt

dθ/dt = (1/Lcosθ)dD/dt where dD/dt = rate at which the ladder is being pulled away from the wall = 2 ft/s and dθ/dt = rate at which angle between wall and ladder is increasing.

We now find dθ/dt when D = 16 ft, dD/dt = + 2 ft/s, and L = 20 ft

We know from trigonometric ratios, sin²θ + cos²θ = 1. So, cosθ = √(1 - sin²θ) = √[1 - (D/L)²]

dθ/dt = (1/Lcosθ)dD/dt

dθ/dt = (1/L√[1 - (D/L)²])dD/dt

dθ/dt = (1/√[L² - D²])dD/dt

Substituting the values of the variables, we have

dθ/dt = (1/√[20² - 16²]) 2 ft/s

dθ/dt = (1/√[400 - 256]) 2 ft/s

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dθ/dt = 1/6 °/s

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3 years ago
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Answer:

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6 0
3 years ago
The derivative of the function f is given by f′(x)=−3x+4 for all x, and f(−1)=6. Which of the following is an equation of the li
Viefleur [7K]

Answer:

The equation of the line tangent to the graph of f at x = -1 is y = 7\cdot x +13.

Step-by-step explanation:

From Analytical Geometry we know that the tangent line is a first order polynomial, whose form is defined by:

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x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

m - Slope, dimensionless.

b - Intercept, dimensionless.

The slope of the tangent line at x = -1 is:

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The equation of the line tangent to the graph of f at x = -1 is y = 7\cdot x +13.

3 0
3 years ago
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