Inequalities
-7x-4<101
-7x<105
What do you call a polygon with four sides?
Quadrilateral
If f(x)=2x+3 and g(x)=x2 what is (f o g) (x)
2x2+3
The term for a line that intersects another line at a 90 degree angle?
Perpendicular line
A student is making a 10% salt solution. How many ounces of salt must the student add to 40 ounces of water to make the solution?
4 ounces
13<r+9≤18
13<r+9≤18
A regular hexagon has sides length of 6. What is the perimeter of the hexagon?
36
if f(x)=x-4 and g(x)=3x+1 what is (g o f)(x)
3x-11
Slope of a horizontal line?
0 slope
A farmer has 5 liters of a 10% solution of fertilizer. He adds 5 liters of a 20% solution. What is the percentage of the new mixture?
15%
-1+8x≤-65 or 10x+1>-19
x≤−8 or x>−2
Formula for area of a triangle?
1/2 * base * height
This is the notation used to represent the composition of two functions f and g applied to an input x
( f o g) (x)
Term for two lines that never intersect and always same distance apart?
Parallel lines
The amount of time it takes to complete a job varies inversely with the number of workers. If 8 workers can complete the job in 12 hours, how long will it take for 6 workers to complete the job?
16 hours
Megan wants to put tile squares in her bathroom. The tiles she has picked cost $1.50 per tile and she has to spend less than $1000. write inequality and solve it.
1.5x ≤ 1000 and T<666
In a right triangle, the sum of the squares of two legs is equal to the square of the hypotenuse. what is this theorem called.
Pythagorean Theorem
Given f(x)=2x+3 and g(x)=x2 what is (f o g)(x)
2x2+3
Type of line that has undefined slope and represented by equation x=k where k is a constant?
Vertical line
A chemist mixes two solutions. The total amount of solution in the mixture varies directly with the amount of each solution used. If 5 liters of a 30% acid solution and 7 liters of a 50% acid solution are mixed, how many liters of a 40% acid solution will result?
12 liters
−2x+3>7
x < -2
What is distance formula
Square root of (x2-x1)2 + (y2-y1)2
Given f(x)=3x+2 and g(x)=x2 the composite of (f o g)(x) is
3x2+2
Formula used to find equation of lime given its slope m and a point (x1,y1) on the line?
Point slope form equation, y-y1=m(x-x1)
A company has two types of coffee: one costing $8 per pound and the other costing $12 per pound. The company wants to make 50 pounds of a blend that costs $10 per pound. How many pounds of each type of coffee should be used?
25 pounds of the $8 coffee and 25 pounds of the $12 coffee