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sertanlavr [38]
3 years ago
14

The parameters of a linear function are the slope and the y-intercept

Mathematics
1 answer:
taurus [48]3 years ago
3 0

Answer:

see the explanation

Step-by-step explanation:

we know that

A linear function in slope intercept form is equal to

f(x)=mx+b

where

m is the slope or unit rate

b is the y-intercept

x is the independent variable or input value

f(x) is the dependent variable or output value

In this problem we have

f(m)=5+3m

where

m is the number of miles

f(m) is the cab company's fare in dollars

we have that

In this context

<em>Slope</em>

The slope or unit rate is equal to the cost per mile for the riders trip

The slope is $3 per mile

<em>Y-intercept</em>

The y-intercept is the cost of the riders trip when the number of miles is equal to zero, also is called the initial value.

The y-intercept is $5

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PLEASE HELP ME I WILL MARK BRAINLIEST!!!
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1. One way to approach this is to convert the magnitude and direction of each force to rectangular coordinates.

... first force = 90(cos(30°), sin(30°)) = (77.94, 45.00)

... second force = 50(cos(160°), sin(160°)) = (-46.98, 17.10)

Then their sum is

... resultant force = first force + second force = (30.96, 62.10)

The magnitude is found using the Pythagorean theorem:

... resultant magnitude = √(30.96^2 + 62.10^2)

... ... = √(958.52+3856.41) = √4814.93

... ... = 69.39

The resultant direction can be found using the definition of the tangent function.

... tan(α) = 62.10/30.96 = 2.01

... α = arctan(2.01) = 63.55°

The (magnitude, direction) of the resultant force are (69.39, 63.55°).

_____

(Note that rounding introduced an error of 0.05° in the direction.)

2. Using DeMoivre's theorem, the magnitude of the 4th root is the 4th root of the magnitude, and the angle of the 4th root is 1/4 of the angle (and its aliases).

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