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2 years ago

Determine if each function is linear or nonlinear.

Mathematics

1 answer:

kogti [31]2 years ago

6 0

Y=2x^3 is nonlinear, since it's a cube equation. y=x+5 is linear, because it's a line with y intercept (0,-5) and slope 1. y=\sqrt(x-5) is nonlinear, because it's a quadratic equation when reversing x and y. 5x+5y=25 is equal to x+y=5 ot y=-x+5, which is also linear. y=x^2/2 is a quadratic equation, so it's nonlinear.

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Artemon [7]

Answer:

1) y = 13.5x + 1
2) y = 12x + 4
3) Sam won the race

Step-by-step explanation:

Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.

<u>The distance after x seconds is:</u>

y = 13.5x + 1

Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.

<u>The distance after x seconds is:</u>

y = 12(x - 3) + 40 = 12x - 36 + 40 = 12x + 4

<u>After 15 seconds the distance from the start line is:</u>

Sam ⇒ y = 13.5*15 + 1 = 203.5 ft
Alice ⇒ y = 12*15 + 4 = 184 ft

As we see Sam is further from the start line than Alice

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2 years ago

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Daniel [21]

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3 years ago

A pasta meal costs $8.95 at a local restaurant the cost to make a copycat version of the pasta meal at home is only $4.75 comple

coldgirl [10]

The absolute and relative cost difference in the restaurant and copycat meal are :

Copycat meal is $4.20 less than restaurant meal

Restaurant meal cost 1.88 times as much as copycat meal

Copycat meal is 53% of the cost of restaurant meal

Cost of restaurant meal = $8.95

Cost of copycat version = $4.75

1.)

Difference in cost of meal for both version :

Cost of restaurant meal - Cost of copycat version

($8.95 - $4.75) = $4.20.

The copycat meal is $4.20 less than the restaurant meal

2.)

Cost of restaurant meal ÷ Cost of copycat version

($8.95 ÷ $4.75) = 1.884 = 1.88(2 decimal places)

The restaurant meal cost 1.88 times as much as the copycat meal

3.)

Percentage = (8.95 - 4.75) × 100% = 53.07% = 53%(nearest whole number)

The copycat meal is 53% of the cost of restaurant meal

Therefore, the relative and absolute cost difference are $4.20, 1.88 times and 53%

Learn more :brainly.com/question/13218948

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1 year ago

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Stels [109]

Step-by-step explanation:

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http://www.lasesp.com/article/16336607434947849/Surprise_Gift

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2 years ago

Complete the equation of the line through (−8,8), and (1,-10 ). Use exact numbers. Help me please my dog just died and I want to

katrin2010 [14]

Answer: (Mayadc821 wrote this anwser check theyre account for more)

Since you know the x and y values, you just have to plug these into the linear slope-intercept equation:

y = mx + b

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m + b = -10

b = -10 - m

Now that we have a value for b, we can plug this into the other equation:

8 = m(-8) + b

8 = -8m + (-10 - m)

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18 = -9m

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Now that we know what m is equal to, we can plug this into our first equation to get an answer for b:

b = -10 - m

b = -10 -(-2)

b = -10 + 2

b = -8

Our final equation is y = -2x - 8

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3 years ago