Show:
Expressions
Polynomials
Equations
Functions
Exponents
100
Simplify the following expression: (3x(x^3-12))/3x
x^3-12
100
Rewrite the following polynomial in the correct normal format and state the degree of polynomial: 7x+49+5x^7+9x+11x^2+54+2x^4+x^9-5x^7
x^9+2x^4+11x^2+16x+103 and the degree to the 9th degree
100
Solve for x: 9(3x+12)=4(x+3)
x=(-96/23)
100
Evaluate and simplify when f(3) in the following function: f(x)=-2x^3+6
-48
100
Simplify the following: (5d^3n^6)(4dn^4)
20d^4n^10
200
Simplify (8(5x-7y)-12) for x=4, y=6
-188
200
Mia is practicing for her baseball game on Sunday by throwing free throws in the field. One of the baseball's path is described by the following polynomial 2x^2-60x+475. What distance does the ball reach the highest point of its arc? What is the maximum height the ball reaches?
(15,25)
200
Solve for x: (x-1)^2=(4sqrt(x-4))^2
x={5,13}
200
Alex has a dog walking business where P is his profit in dollars and d is the number of dogs he is walking. He charges $120 per each dog he walks and buys $80 worth of dog food. If he walks 40 dogs in a day what is his total profit for that day?
The profit Alex makes that day is $4720.
200
Simplify the following: ((26x^-6)(9y^7))/(x^3y^2)
(234y^5)/(x^9)
300
Simplify the following: 4(13(5x-12)+2(4x-9))
292x-696
300
What are the roots of the following polynomial? x^2+3x+3
The parabola has no x intercepts.
300
Jessie goes to the store and buys c number of chips and b number of brownies. In total he buys 7 items. Each brownie cost $1.75 and each bag of chips cost $1.00. How many bags of chips did he buy if his total was $10.00?
Jessie bought 3 bags of chips.
300
Evaluate and simplify when g(-6)+g(2) in the following function: g(x)=(x^3)/2
-104
300
Simplify the following: (8nr^-6)(3n^-3r^4)
(24)/(n^2r^2)
400
Simplify (9a+18b)/3 for a=2c+5d, b=d+5, c=square root of d, d=144
3126
400
Factor polynomial by grouping: 2x^3+3x^2-5x+8x^2y+12xy-20y
(2x+5)(x-1)(x+4y)
400
When do lines 3x+4y=2 and 3x-6y=5 intersect?
The lines intersect at (16/15,-3/10).
400
Using the following functions, find f(g(g(3))) : f(x)=6x+4 and g(x)=2x^3
49156
400
Simplify the following: ((1/x)^2)(2/x)^6))
(64/x^8)
500
A construction worker is planning out to build a triangular swimming pool for his client. The client wants the base of the pool to be 6x+18 ft and the height desired is 16x+3 ft. However, the client then changes her plans and decides to make the pool height 3 times larger and cuts the base of the pool in half. Find the area of the pool written as an expression.
72x^2+(459/2)x+(81/2)
500
A triangle's leg measures x-1 (side AB) and the other leg measures x (side AC). The hypotenuse is x+1 long (side CB). What is the length of side AB?
The length of side AB is 3.
500
The perimeter of a rectangle is 22ft and it's area is 24 ft^2. Find its dimensions of the rectangle.
The dimensions of the rectangle are 3ft and 8ft.
500
In the following recursive rule, what is f(4)? f(x):{41 if x=0} {f(x-1)-2 if x>0}
31
500
Simplify the following: ((a^3b^2c^3)^2)(ab^7c^3)/(a^2bc^3)
a^5b^10c^6