Given the funtions $g\left(x\right)=\frac{2x+4}{x^2-6x}$ and  $h\left(x\right)=\ \frac{x^2-36}{4x+8}$  , what is the result when  $h\left(x\right)\cdot g\left(x\right)$  ?

•  $\frac{2x}{x+6}$  

•  $\frac{x+6}{2x}$  

•  $\frac{x+3}{x}$  

•  $\frac{x}{x+3}$  

Tags

CCSS.HSA.APR.D.7

Given $r\left(x\right)=\frac{x^2-16}{x^2-10x+25}$  and  $t\left(x\right)=\frac{3x-12}{x^2-3x-10}$ , What is the result for  $\frac{r\left(x\right)}{t\left(x\right)}?$  

•  $\frac{3x-15}{x^2+6x+8}$  

•  $\frac{x^2+6x+8}{3x-15}$  

•  $\frac{\left(x+4\right)\left(x-2\right)}{3x-15}$  

•  $\frac{\left(x^2-6x-8\right)}{3x-15}$  

Tags

CCSS.HSA.APR.D.6

Given $g\left(x\right)=\frac{\left(4x+13\right)}{x-3}\$  and  $h\left(x\right)=\ \frac{x+2}{2x+6}$  what is the value of A, B,and C if  $g\left(x\right)\ +h\left(x\right)=\frac{Ax^2+Bx\ +C}{2\left(x+3\right)\left(x-3\right)}$  

• A = 9, B = 49, C = 72

• A = 9, B = -49, C = -72
  

• A = -9, B = 49, -72

• A = -9, B =-49 C= 72

Tags

CCSS.HSA.APR.D.7

Working together Sam, Genna, and Fran can paint a mow a yard in 2 hours. Sam can mow the yard is 7 hours. Genna can mow the yard in 9 hours. How long does it take Fran to to mow the lawn?

• 3 hours

• 3.5 hours

• 4 hours

• 4.5 hours

Tags

CCSS.HSA.CED.A.1

The function $f\left(x\right)=A\sin\left(Bx\right)\ +H$  has the following characteristics. 

Period of  $10\ \min$  

 Minimum value of 20
Maximum value of 32

Determine the Sine functions that models the data. Multiple Answers

•  $f\left(x\right)\ =\ 6\sin\left(\frac{\pi}{5}x\right)+26$  

•  $f\left(x\right)=\ -6\sin\left(\frac{\pi}{5}x\right)+26$  

•  $f\left(x\right)=\ 6\sin\left(10x\right)+26$  

•  $f\left(x\right)=\ -6\sin\left(10x\right)+26$  

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.TF.B.5

Given the cosine equation

 $f\left(x\right)\ =\ 2\ \cos\left(\pi x\right)\ -8\$  Check all the statements  that are true

• The midline is 8

• The period is  $\pi$  

• The amplitude is 2

• The period is 2

• The midline is 2

Tags

CCSS.HSF-IF.C.7E

The points (2,16) and (8,30) are the end points of a diameter. What is the equation of the circle that intercepts these points?

Video Help
Youtube: MattdoesMath
Video: Determine the Equation of a Circle given Two Endpoints

• $\left(x-5\right)^2+\left(y-23\right)^2=\ 58$

• $\left(x+5\right)^2+\left(y+23\right)^2=58$

• $\left(x-2\right)^2+\left(y-16\right)^2=30$

• $\left(x-5\right)^2+\left(y-23\right)^2=7.6$

Tags

CCSS.HSG.GPE.A.1

The volume of a sphere is  $288\pi\ in^3$ . Find the radius of the sphere.

• r = 4in

• r = 5in

• r = 6in

• r = 7in

Tags

CCSS.8.EE.A.2

Select the 2D object that can be rotated to form the 3D object shown.

• 
• 
• 
• 

Tags

CCSS.HSG.GMD.B.4

A 16cm x 30cm sheet of rectangular cardboard is folded such that an open topic box is created. What are the dimensions that maximize the volume?

• 16cm x 30cm x 0cm

• 23cm x 9cm x 3 cm

• 8cm x 15cm x 4cm

• 23.3cm x 9.3cm x 3.3cm

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSG.GMD.A.3