Algebra
solve for x
3(x−4)+2=5x−6
x=-2
in a triangle, two angles measure 56 degrees and 72 degrees, what is the measure of the third angle?
52 degrees
A movie ticket costs $12. You buy 2 tickets.
How much do you spend?
$24
Who is considered the “father of algebra”?
Al-Khwarizmi
what does the limit of the difference quotient tell you about a function?
the derivative
Factor completely:
3x2-27
3(x-3)(x+3)
a circle has an area of 49pi, find its circumference
14pi
A car travels 150 km in 3 hours.
What is its average speed in km/h?
Which mathematician is credited with discovering and popularizing the constant e ?
Leonhard Euler
Find the slope of the tangent line to
f(x)=2x3-3
at x=1
5
A line passes through points (1,4) and (5,k) and has slope 3
solve for k
k=16
A right triangle has legs 5 and 12.
Find the hypotenuse.
13
You have $100.
You buy 4 notebooks for $6 each and a backpack.
If you have $20 left, how much did the backpack cost?
$56
Which ancient Greek mathematician founded a school of mathematics and is famous for discoveries about right triangles?
Pythagoras
Differentiate:
g(x)=4x5-x3+15
g'(x)=20x4-3x2
(5x+3)/(2x+4) = 7
-25/9
The length of each edge of a box is 29 inches. Each side of the box is in the shape of a square. The box does not have a lid. What is the exterior surface area, in square inches, of this box without a lid?
4205 in2
A tank contains 30 liters of water.
It fills at 7 L/min and leaks at 2 L/min.
How much water does it have after 10 minutes?
80 liters
Which ancient civilization is credited with creating the first place-value number system?
Hint: the first of the ancient civilization is "B"
The Babylonians
Differentiate:
g(x)=(2x−5)(x2+4)
g'(x)=6x2-10x+8
2x+y=11
3x-y=4
(3,5)
A circle has radius 6.
Find the length of an arc that spans 120 degrees
4pi
A number is 4 more than twice another number.
Their sum is 28.
Find the larger number.
20
Who independently developed calculus at the same time as Isaac Newton?
Gottfried Leibniz
find the derivative of:
f(x)= 3(sin(3x))3
f'(x)=9(sin(3x))2cos(3x)