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2 years ago

How does g(t)=20.9t change over the interval from t=2 to t=3?

1 answer:

5 0

$slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ g(t)= 20.9t\qquad \begin{cases} t_1=2\\ t_2=3 \end{cases}\implies \cfrac{g(3)-g(2)}{3-2}\implies \cfrac{20.9(3)~~ - ~~20.9(2)}{1} \\\\\\ 62.7~~ - ~~41.8\implies 20.9$

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3 years ago

Help with this question, ASAP PLEASE!! SHOW YOUR WORK!!

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Simplest polynomial function is $x^4-x^3-11x^2+9x+18.$

Solution:

Given data:

Zeroes are 3i, –1, 2.

3i is a complex root of the function.

If 3i is a zero of the polynomial then –3i is also a zero of the polynomial.

Therefore zeroes are 3i, –3i –1, 2.

By factor theorem,

If a is zero of the function, then (x – a) is a factor of the polynomial.

So, the factors are (x – 3i), (x + 3i), (x + 1), (x –2).

On multiplying the factors, we get the polynomial.

$(x - 3i) (x + 3i) (x + 1) (x -2)$

$=(x^2+3ix-3ix+(3i)^2)(x^2-2x+x-2)$

$=(x^2-9)(x^2-x-2)$

Since the value of $i^2=-1$

$=x^2(x^2-x-2)-9(x^2-x-2)$

$=x^4-x^3-2x^2-9x^2+9x+18$

$=x^4-x^3-11x^2+9x+18$

Simplest polynomial function is $x^4-x^3-11x^2+9x+18.$

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3 years ago

Which of the following must be true of the above triangle ABC?

olga nikolaevna [1]

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4 years ago

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3 years ago

Carla and rob left a 20% tip after having lunch at a restaurant the amount of the tip was $6 Carla's lunch cost $15 which equati

siniylev [52]

This question is a little tricky. Carla had a bill of $15, which we will add to the cost of Rob's lunch. They left a 20% tip on the TOTAL cost of both their lunches, which should equal $6. 20% is equivalent to 0.2. So, the equation is 6=0.2(x+15). In other words, 20% of the sum of Carla and Rob's lunches is 6 dollars.

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4 years ago