Regents Review

A ball was launched into the air, and its height above the ground was recorded each second, as shown in the table below. Based on these data, which statement is a valid conclusion?

A tour bus can seat, at most, 48 passengers. An adult ticket costs $18 and a child ticket costs $12. The bus company must collect at least $650 to make a profit. If a represents the number of adult tickets sold and c represents the number of child tickets sold, which system of inequalities models this situation if they make a profit?

Which equation is always true?

The expression $$(-2(x^2-2x+1)+(3x^2+3x-5)$$ is equivalent to

Which sum is irrational?

The solution to $$\frac{4\left(x\ -5\right)}{3}+2=14$$ is

On an island, a rare breed of rabbit doubled its population each month for two years. Which type of function best models the increase in population at the end of two years?

What is the degree of the polynomial $$2x-x^2+4x^3$$ ?

The zeros of the function $$f\left(x\right)=x\left(x-5\right)\left(3x+6\right)$$ are

What is the y-intercept of the line that passes through the points (−1,5) and (2,−1)?