Which expression is equivalent to (x²-2x-37)/(x²-3x-40)?

Which expression is equivalent to  $\frac{\left(x^2-5x+6\right)^{-1}}{\left(x-2\right)^{-2}}\div\frac{\left(x-3\right)^{-1}}{\left(x-2\right)^{-2}}?$  

A company makes and boxes spaghetti.

-One machine fills each box with approximately 32 ounces of spaghetti.

-After the boxes are filled, another machine weighs each box.

-A box is discarded if the weight of the box differs by more than 0.25 ounce from the target weight of 32 ounces.

Which inequality can be used to find the range of acceptable weights, x, of the spaghetti?

The graph of an equation is shown.

Two functions are shown below.

f(x)=2x³+2x-3

g(x)=-0.5|x-4|

What is the y-value when f(x)=g(x)?

Which choice is equivalent to the expression shown below?

48x³-243xy²

If f(x)=k(x-2)⁴, where k is positive, what is the effect on the graph of f(x) as k increases?

Two piecewise functions are shown below. $h\left(x\right)=4x+1\ for\ x\ge2$  
 $h\left(x\right)=-3x\ for\ x<2$  
 $g\left(x\right)=x^2+x\ for\ x<3$   $g\left(x\right)=x^3for\ x\ge3$  
What is the value of 3h(2)+4g(1)?

The graph of a function is shown. Which interval is decreasing for that function on that interval?

A function is shown below. $H\left(x\right)=4x^3-5x^2-23x+6$  
What is the distance, to the nearest hundredth of a unit, between the two zeros that are closest to each other?

Which function does not have the set of all real numbers as its domain?

An equation is shown below.

9^-3x+2=48

What is the value of x to the nearest ten-thousandth?

The diagram below shows an angle $\ \theta$ , graphed in the xy-coordinate plane. Segment RT is the initial side of the angle, and segment RM is the terminal side. Segments RT and RM are radii of the unit circle centered at the origin R(0,0).  The x-coordinate of the point M is -1/2. What is the measure of  $\theta$  to the nearest thousandth of a radian?

In parallelogram MNPT, m<(6x+10) and m<N=(5x+10.5). How many degrees is <T?

In rectangle FGHI, diagonals FH and GI intersect at E. What is the length of FH?

Triangle PMT is shown.

-GH=x+3

-PG=4x+1

-GJ=2x-1

What is the length of a radius of the circle represented by the equation x²+y²-4x-4y+4=0?

A high school randomly selected 75 of the 200 seniors at the school to take a sample college entrance exam. The mean grade point average (GPA) of the seniors selected was 2.85, and the standard deviation was 0.4. Select all of the statements that are true. (Note: Marin of error  $\approx\frac{2}{\sqrt{n}}$  , where s is the standard deviation and n is the sample size.)