Systems
Solve the system of equations
y = 7x + 20
-x + 3y = -20
x = -4, y = -8
Factor: 6x2-23x+7
(3x-1)(2x-7)
State the Degree of the Polynomial:
-3x5+2x3-3x+4
5
Rewrite into radical form.
357/4
4root(37)^7
What is the end behavior of the function? Use Limits
f(x)=-6x3+2x2-7x+9
f(x)-> negative infinity as x->infinity
f(x)-> infinity as x->negative infinity
Julie purchases 4 cookies and 3 brownies for $20.25 at the fair. Bryton buys 3 cookies and 1 brownie for $10.50. How much would 25 brownies and 25 cookies be?
$150
Solve the quadratic:
3z2-10z=-12+3z
x=4/3 and x=3
Factor the Polynomial completely:
2x3+4x2-6x
2x(x-1)(x+3)
45x-1=16
Solve for x.
3/5 or 0.6
f(x)=x+1
g(x)=3x-7
Find (f-g)(x)
-2x+8
Solve this system
y = sqrt(5x-9)
y = x - 1
(5, 4) and (2, 1)
Solve by finding exact and simplified solutions.
4a2-20a+17=0
a=5/2+21/2
a=5/2-21/2
reminder this is in radical form*
Find all zeros:
f(x) = x4−9x3+18x2+30x−100
x= 5, −2, 3−i, 3+i
Solve the radical equation:
sqrt(2x+7)=5
x=9
Simplify: (12x3y7)/(30x6y)
(2y6)/(5x3)
Solve this system using any method.
6x+7y+0z= -24
-9x-4y+3z=18
-5x-7y+z=34
x=3
y=-6
z=7
Solve the quadratic. [HINT: Solutions are COMPLEX!]
x2-3x+13=x
x=2+3i
x=2-3i
Find all real zeros of the function:
f(x) = x3-2x2-5x+6
1,-2,3
Solve the radical equation.
sqrt(2x-9)=-1
No Solution
f(x)=2x-9
g(x)=sqrt(x)
Find g(f(x)).
sqrt(2x-9)
(x + 2)2 + (y + 3)2 = 16
y = -0.5|x + 2| - 1
(-6, -3) and (2, -3)
Re-write y=2x2−12x+23 into vertex form.
y=2(x−3)2+5
Divide x4 + 17x3 + 54x2 -75x - 18 by x+6
x3 +11x2 -12x - 3
Solve the following with work.
(x - 3)2/3 = 4
x = 11, -5
The height of Whimsical trees in a Whitmer's Wonderland are normally distributed with a mean of 40 feet and a standard deviation of 6 feet.
What percent of the trees are between 40 feet and 49 feet?
43%