What is the degree of t-4t^2+2t^3

Mathematics

1 answer:

Ierofanga [76]3 years ago

4 0

Answer:

Step-by-step explanation:

t-4t^2+2t^3

Rewriting this in order from largest to smallest exponent

2t^3 -4t^2 +t

The highest power is 3

So this is degree 3

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What is the answer to 3/5(10x-1/3)-x+6/5

seraphim [82]

Answer:

5x + 1

Step-by-step explanation:

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3 years ago

Which graph best represents the relationship between time and the number of teams registered?

alexdok [17]

<h2>Explanation:</h2><h2></h2>

The complete question is in the attached file. So we have to choose between two graphs. On of them is a linear model while the other is an exponential model. From the statements, we have a relationship between time and the number of teams registered. So we can establishes variables in the following form:

$x:\text{Time} \\ \\ y:\text{Number of teams registered}$

We also know that each week 6 teams register to participate, so:

$\bullet \ \text{For week 0:} \rightarrow \text{0 teams registered} \\ \\ \bullet \ \text{For week 1:} \rightarrow \text{6 teams registered} \\ \\ \bullet \ \text{For week 2:} \rightarrow \text{12 teams registered (Because 6+12)} \\ \\ \bullet \ \text{For week 3:} \rightarrow \text{18 teams registered (Because 12+6)}$

As you can see, as x increases one week, y increases at a constant ratio of 6. Therefore, this can be modeled by a linear function given by the form:

$y=6x$

In conclusion, <em>the linear model (first graph below) is the one that bests represents the relationship between time and the number of teams registered.</em>