3 years ago

Identify the vertex, axis of symmetry, direction of opening, min/max value, y-intercept, and x-intercepts of this equation:

1 answer:

5 0

(-3/2, 27\4) is the vertex it opens down max at the vertex mins are negative infiity x intercepts at -1 and 3 y intercept at (0,0)

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Ethan rolls a 6-sided die. What is the probability that he gets a number greater than 4 or an even number?

Marrrta [24]

Well,

The probability will be the number of favorable outcomes over the total number of outcomes.

The number of favorable outcomes will be the numbers greater than 4 (5,6) and the even numbers (2,4,6). So the favorable outcomes are 2,4,5, and 6. That is 4 total.

$\frac{4}{6} \ or\ \frac{2}{3}$

3 0

3 years ago

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Write out the form of the partial fraction decomposition of the fraction. Do not determine the numerical values of the coefficie

anyanavicka [17]

Factorizing the denominator gives

$\dfrac{x^4}{(x^3+x)(x^2-x+7)} = \dfrac{x^4}{x(x^2+1)(x^2-x+7)} = \dfrac{x^3}{(x^2+1)(x^2-x+7)}$