Miscellaneous I
Given:
6/r + 4/r-4 =1
What are the two values of r that are undefined
x=0 and x=4
A rectangular piece of cardboard measuring 12 x 10 is being cut to make a box. Squares are cut from each corner. What is the volume of the box?
l= 12-2x
w=10-2x
h=x
V= (12-2x)(10-2x)(x)
v=4x3-44x2+120x
What is the equation that will move y=1/x 7 units to the right and 1 unit down?
y=1/(x-7) -1
The expression (x+4) is a factor of x2+kx-20. What is the value of k?
k=-1
Anna can paint 5 rooms in 4 hours. Simon can paint 6 rooms in 5 hours. How long will it take them to paint 11 rooms together?
4.48 hours
Factor
x3-5x2+3x-15
(x2+3)(x-5)
Solve for x:
3*27x=48
x=0.571
What is the equation that will move y=|x|
6 units to the right and 2 units down?
y=|x-6|-2
Solve:
x2+5x-14/x-2= -21
x=-28
Martha can paint 4 rooms in 5 hours. Jamie can paint 7 rooms in 9 hours. How long, to the nearest tenth of an hour, will it take them to paint 14 rooms together?
8.87 Hours
Find the inverse
f(x)=3IxI -1
g(x) = 0.03x2-x+1
find when f(x)=g(x)
x= -0.986
x=0.501
x=11.288
Solve the following absolute value inequality:
4|6-2x|+8<24
What is the minimum value for x
x=1
What is the equation that will move y=1/x
8 units to the left and 10 units up?
y=1/(x+8) +10
Find the remainder:
p(x) = x5-x4+8x2-9x+30 / (x+2)
remainder = 32
Find the area of the rectangle l= (x2 +3x +7) w=(x-2)
x3 +x2+x-14
Given the function where is the function discontinuous
f(x)= 3x/x2+4x-5
x=1
x=-5
Solve and round to the nearest hundredth.
32x+3=/3x+4 (square root of 3 to the x+4 power)
x=-0.67
What is the equation that will move y=|x|
12 units to the left and 7 units down?
y=|x+12|-7
Solve for x: log base 9 of 27=2x-5
x= 3.25
-(x+1) -1, x-1
h(x) = (x-1)2 +2 , -1<x3
1, x>3
h(-5) > h(4) 3. h(-4) < h (-1)
h(0) =h(2) 4. h(-10) = h(7)
2. h(0)=h(2)
What is the largest real number solution to the polynomial?
p(x)=(x-5)(3x+5)(x2-7x+15)
x=5
What is the sum of the zero's
m(x)=x3+3x2-2x-4
Sum of zero's =-3
What is the equation that will move y=2x
8 units down
y=2x-8
Given the interval (4,10] list the functions from least to greatest:
f(x)=2x
g(x) =2x
h(x)=x2
g(x)<h(x)<f(x)
The Population of WS increases 2% every 10 years. Model an equation to match the scenario
P(t)=Po(1+.02)t/10