Expand
(2x-1)(x+3)
2x^2+5x-3
What is the volume of a rectangular prism that has a length of 5 cm, a width of 3 cm, and a height of 2 cm.
30 cm^3
24% of 50 is what?
12
Find the slope of the line
-1/6
List the four types of transformations. Order does not matter
translation, dilation, rotation, reflection
Factorize
32x^2y^3z+16y^2z^2x
16xy^2z(2xy+z)
Arc length formula =
θ/360*2pir
5.38
Solve
3/4=x/12
x=9
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
Slope = -7 and y-intercept = 4
y = -7x + 4
What is X' after translating it 5 units left and 3 units up
(-2,-1)
Simplify
-16ab
Find the area of the composite figure. Round your answer to 2 d.p.
86.55cm^2
How much does an $80 jacket cost after a 25% discount?
$60
Find the slope of the line through each pair of points.
(-11,-5),(16,5)
10/27
What is G' after 90 degrees rotation counterclockwise about the origin
G' = (2,5)
Simplify
k+8
Find the perimeter to the nearest tenth
55.42 in
A gas station sells coffee in two different cup sizes:
A 12-ounce cup for $2.40
A 20-ounce cup for $3.90
which is the better buy?
20-ounce cup for $3.90
Write the slope-intercept form of the equation of each line.
y=-2x-4
What is C' after a reflection over x = -2
(-4,-3)
Solve the equation
0
After graduating from CIS and finishing university at HKU, Ms. Engineer is hired to design a water tank for a small village. The tank has the following specifications:
●The tank is in the shape of a cylinder.
●The diameter of the base is 20 feet, and the height of the tank is 20.51 feet.
●The tank is completely filled with water.
●The outer surface and the top lid of the tank need to be painted, but the bottom base does not need to be painted because it is fixed to the ground.
Determine how many cans of paint are needed if one can of paint covers 100 ft²
17 cans of paint
A theme park earned $12,500 in total ticket sales. The park sold adult tickets for $50 each and child tickets for $30 each. Determine how many adult tickets were sold if 60% of the total sales came from adult tickets.
150 tickets
Joe and Steve are saving money. Joe starts with $105 and saves $5 per week. Steve starts with $5 and saves $15 per week. Write an equation and then find after how many weeks do they have the same amount of money?
y= 5x+105
y=15x+5
10 weeks ($155)
Graph the image of the figure using the transformation given.