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Lapatulllka [165]
2 years ago
8

1. Maximum is cleaning shrimp. He cleans 4 shrimp every minute. Use time in minutes as the independent quantity and the number o

f shrimp as the dependent quality.
A= Is the relationship proportional or non-proportional? Explain how you can determine this using a graph and the equation.
B= Identity the unit rate of this relationship. Explain what the unit rate means in terms of the situation.
C= Create a graph of the relationship.
Mathematics
1 answer:
shusha [124]2 years ago
6 0

Answer:

Step-by-step explanation:

Relationship Equation between time and shrimps cleaned : S = 4T; Relationship is inversely proportional; Unit rate of change = 4

Given : 4 Shrimps cleaned every minute.

So, Shrimps cleaned 'S' = 4 times minutes taken 'T' ; S = 4T

The relationship between variables is proportional, as the dependent variable (shrimps) is constant multiples times the independent variable (time), & their ratio remains constant.

It is directly proportional, as both variables (shrimps & time)  move in same direction. One variable increase or decrease, other variable same respectively.

Graph in this case is upward sloping curve from origin, because of  direct proportional relationship respectively.

Unit rate of change denotes constant magnitude of change in a variable with other variable. It is 4 in this case, as time increases the shrimps.

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The answer to your question is yes


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Eugene noticed the temperature had dropped by 8 degrees from 17. What was the new temperature?
zubka84 [21]

Answer:

9 degrees

Step-by-step explanation:

given:

Initial temperature : 17 degrees

temperature change = reduction by 8 degrees (i.e - 8 degrees)

hence the final temperature

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8 0
3 years ago
F(x) = (3x + 6) (x - 3)²
Sever21 [200]

f(x)= 3x³ - 18x +9

Algebraic identities are algebraic equations that are true regardless of the value of each variable. Additionally, they are employed in the factorization of polynomials. Algebraic identities are employed in this manner for the computation of algebraic expressions and the solution of various polynomials.

Identity I: (a + b)² = a² + 2ab + b²

Identity II: (a – b)² = a² – 2ab + b²

Identity III: a² – b²= (a + b)(a – b)

Identity IV: (x + a)(x + b) = x² + (a + b) x + ab

Identity V: (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

Identity VI: (a + b)³ = a³ + b³ + 3ab (a + b)

Identity VII: (a – b)³ = a³ – b³ – 3ab (a – b)

Identity VIII: a³ + b³ + c³ – 3abc = (a + b + c)(a² + b² + c² – ab – bc – ca)

f(x) = (3x + 6) (x - 3)²

      = ( 3x + 6) ( x - 3 )²

      = ( 3x + 6)( x² - 6x + 9)

      = 3x( x² - 6x + 9) + 6( x² - 6x + 9)

      = 3x³ - 6x² + 18x + 6x² - 36x +9

      = 3x³ - 18x +9

To learn more about algebraic expansions, refer to brainly.com/question/4344214

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5 0
2 years ago
write balanced chemical equation for the process of photosynthesis giving the physical state of all the substances involved in t
RideAnS [48]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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Mrrafil [7]

Answer:

C.<em> </em><em>The quotient of the natural logarithm of 2 and e.</em>

Step-by-step explanation:

The position of a particle on the x-axis at time t, t > 0, is given by

s(t) = \ln(t)

with t is in seconds and s(t) is in feet.

The rate of change is,

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Therefore, option C is the correct answer.

8 0
3 years ago
Read 2 more answers
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