Need to find and correct error in the functiony=-9.5x^{2}-47.5x+63as shown.x=frac{-b}{2a*x}=frac{-47.5}{2(-9.5)*x}=frac{-47.5}{-19*x}=-(-2.5)x=2.5y=-9.5(2.5)^{2}-47.5(2.5)+63y=59.375-118.75+63y=-115.125

Determine whether each of these functions is a bijection from R to R.

a) $f(x)=-3x+4$

b) ${\displaystyle f\left(x\right)=-3x^2+7}$

c) $f(x)=\frac{x+1}{x+2}$
${\displaystyle d)f\left(x\right)=x^5+1}$

A baseball team plays in a stadium that holds 55,000 spectators. With ticket prices at 10, the average attendance had been 27,000. When ticket prices were lowered to10,the average attend ance had been 27,000.When ticket prices were lowered to 8, the average attendance rose to 33,000. How should ticket prices be set to maximize revenue?

Find the linear approximation of the function $f(x)=\sqrt{1-x}$ at $a=0$ and use it to approximate the numbers $\sqrt{0.9}$ and $\sqrt{0.99}$.

Which relation does not represent a function?
$A.(0,8),(3,8),(1,6)$
$B.(4,2),(6,1),(8,9)$
$C.(1,20),(2,23),(9,26)$
$D.(0,3),(2,3),(2,0)$

Anthony is working for an engineering company that is building a Ferris wheel to be used at county fairs. He wants to create an algebraic model that describes the height of a rider on the wheel in terms of time. He knows that the diameter of the wheel will be 90 feet and that the axle will be built to stand 55 feet off the ground. He also knows they plan to set the wheel to make one rotation every 60 seconds. Write at least two equations that model the height of a rider in terms of t, seconds on the ride, assuming that when t = 0, the rider is at his or her lowest possible height. Explain why both equations are accurate.
Part 2:One of Anthonys

${\displaystyle {\sin }^2(-x)+{\cos }^{2}x=1}$

Find two functions f and g such that (f · g)(x) = h(x). (There are many correct answers.) ${\displaystyle h\left(x\right)={(2x+1)}^2}$