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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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X² + y² = 8
ohaa [14]

Answer:

(2,2)~ \text{and}~ (-2,-2)

Step by step explanation:

x^2 +y^2 =8~~~~~~...(i)\\\\x-y=0~~~~~~~~~...(ii)\\\\\text{From (ii):}\\\\x-y = 0 \implies x = y\\\\\text{Substitute x = y  in eq (i):}\\\\~~~~~~y^2 +y^2 =8\\\\\implies 2y^2 = 8\\ \\\implies y^2 = \dfrac 82\\\\\implies y^2 = 4\\\\\implies y = \pm\sqrt 4\\\\\implies y = \pm 2\\\\\text{Substitute y = x  in equation (i):}\\ \\~~~~~~x^2 +x^2 = 8\\ \\\implies 2x^2 = 8\\\\\implies x^2 = \dfrac 82\\\\\implies x^2 = 4\\\\\implies x = \pm\sqrt 4\\\\\implies x = \pm2\\\\

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3 0
2 years ago
Bill and Felicia each bake cookies for a party. Bill bakes 3 times as many cookies as Felicia. Felicia bakes 24 fewer cookies th
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Answer:

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Step-by-step explanation:

The word problem describes two relationships between the numbers of cookies baked. When b and f represent the numbers of cookies baked by Bill and Felicia, respectively, those relationships are ...

  1. Bill bakes 3 times as many cookies as Felicia. (b = 3f)
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3 years ago
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