Algebra 2 semster test
Martin bought a painting for $5000. It is expected to appreciate at a continuous rate of 4%. How much will the painting be worth in 6 years? Round to the nearest cent
$6356.25
Given (x-2) is a factor of f(x)=x^3+3x^2-6x-8, find the other two factors
(x+1) (x+4)
A rectangular prism has a volume of x^3+6x^2-7x-60. If the height of the prism is x+4, what polynomials could represent the dimensions of the base
(x+5) and (x-3)
Use the rational root test to determine all possible rational zeros for the function f(x)=6x^4+2x^3-4x^2+2
+/- (1/6, 1/3, 1/2, 2/3, 1, 2)
Evaluate log 0.1
-1
Solve 4^(2x+7)=32^(x+3)
-1
Find f(-3) if f(x)=4x^3-5x^2+7x-10 using synthetic division
-184
Find f(-4) if f(x)=3x^3-2x^2+6x-4 using synthetic substitution
-252
Given f(x)=3x+7 and g(x)=2x-5 find g[f(-3)]
-9
Which is NOT a root of the equation x^3-x^2-10x-8=0
1
Write the equation log243(81)=4/5 in exponential form
243^4/5=81
A correct step in the solution of the equation (2m+1)^1/4-2=1 is
2m+1=81
If f(x)=x^2-3 and g(x)=2x-1, find (g*f)(x)
2x^2-7
Evaluate log4 (32)
5/2
Simplify the radical (little 3) square root of 625x^5
5x (little 3) square root 5x^2
simplify the expression (square root) 64 n6th w4th
8|n3rd|w2nd
Use the properties of logarithms to evaluate log3(27)+log3(9)+log3(81)
9
An initial population of 650 quail increases at an annual rate of 2.5%. Write an exponential function to model the quail population
f(x)=650(1.025)^x
Find the inverse of f(x)=2x-7
f^-1 (x)=(x+7)/2
find the inverse of f(x)=3+5x
f^-1(x)=2-3/5
Determine which pair of function are NOT inverse functions
g(x)=2x+9 h(x)=1/2x-9
Identify the logarithmic form of 3^5=243
log3(243)=5
log4 {x+3/x^4}
log4 (x+3)-4log4x
Expand the logarithimc expression: log4 (3/x)
log4(3)-log4(x)
Wrie the logarithmic expression as a single logarithm: 2logb(Q)+3logb(Y)
logb(q^2y^3)
Use Descartes' Rule of Signs to determine the possible number of positive real zeros and negative real zeros for the function f(x)=-x^5+4x^4-2x^3-5x^2+6x+4
positive: 3 or 1 negative: 2 or 0
Find all solutions to the function f(x)=x^4+3x^3-5x^2-9x-2 using the rational root test.
x=-1, x=2, x=-2 +/-square root 3
Solve the equation 6+little 3 square root of x-4)=9
x=31
Solve the racial equatioin square root{3x+4}=5
x=7
Given f(x)=x^2+3x-5 and g(x)=2x+1 find (f+g)(x)
x^2+5x-4
Given f(x)=x^2+8x and g(x)=3x+5 find (f-g) (x)
x^2+5x-5
Given f(x)=x^2+1 and g(x)=x-2 find (f*g)(x)
x^2-4x+5
Write a polynomial fo least degree with integer coefficients with roots x=-1, x=4, x=3i
x^4 -3x^3+5x^2-27x-36
A photocopier is purchased for $5200 and depreciates in balue by 15% per year. Which equation best describes the value of the photocopier in t years?
y=5200(0.85)^x
Simplify the expression (5/2 - square root 3) using simplified rational exponents
y^(2/3)
Write the expression (little 6) square root of y^4 using simplified rational exponents
y^2/3
Give nthe sets f={(2,3)(4,8)(7,-1)} and g={(8,2)(-1,4)(2,7)}, find (f*g)
{(8,3)(-1,8)(2,-1)
Find the inverse of the relation {(-3,9)(-2,4)(0,0)(1,1)}
{(9,-3)(4,-2)(0,0)(1,1)
