Math
Find the value of the expression:
35
243
Which type of function is represented by the equation
y=7x2+2?
Quadratic
f(x)=sqrt x
x = all non-negative real numbers,
yo= all non-negative real numbers
Use the quadratic formula to find the roots of the following quadratic
-5x2+18x-24=0
x=(9 plus or minus sqrt39)/5
Find the inverse of the following equation:
(5x)+27 = 52
2
Evaluate the square root of 64/225.
8/15
Give the expanded form of the factored quadratic
(x-3)(x+5)
x2+2x-15
f(x)=2x-1
g(x)=x2+1,
Find g(f(x)). Give your answer in expanded form.
g(f(x))=4x2-4x+2
Factor the following polynomial given one factor. Identify all roots.
f(x)=5x3+21x2-21x-5, given x+5
(x+5)(5x+1)(x-1)
x=-5, x=-1/5, x=1
How do you tell if a function has an inverse?
horizontal line test
Evaluate 2x-5+3x+8=18 for the given variable.
x=3
Give the factored form of the following expanded form quadratic.
24x2-30x-9
3(2x-3)(4x+1)
Give the explicit formula for a sequence with the following terms:
{2, 6, 18, 54, 162}
an=2(3)n-1
Solve the following equation for x. Give your answer in logarithmic form.
10=0.5ex
x=ln20
In a sector of a circle (radius=17 in), with an angle measure of 120 degrees, find the area of the sector.
302.6 in²
Find the rate of change for the set of values provided.
x1=1, y1=217
x2=2, y2=434
x3=3, y3=651
x4=4, y4=868
m=217
Solve the equation 100=8x2 for x. Your answer should be fully reduced and rationalized.
Solve the equation for all possible values of x.
|8x+6|=46
x=5, x=-6.5
Identify the vertical and horizontal asymptotes and the x intercepts found in the following function.
f(x)=(3x2-12x)/(x2-2x-3)
Vertical asymptotes at x=-1, x=3
Horizontal asymptote at y=3
x-intercepts at x=0, x=4
Knowing the equation of a circle is (x-h)^2 + (y-k)^2=r^2, find the radius and center of the following equation:
(x − 16) 2 + (y − 6) 2 = 1 Translated 4 left, 2 up
(x − 12)^2 + (y − 8)^2 = 1
Use the Pythagorean Theorem to find the unknown lengths.
If a=8 and b=15, c=_____.
c=17.
Solve for x in the equation. Your answer should be fully reduced and rationalized.
500=0.5(6)x2
x=(10 sqrt 15)/3
The line of sight from a small boat to the light at the top of a 35-foot lighthouse built on a cliff 25 feet above the water makes a 25° angle with the water. To the nearest foot, how far is the boat from the cliff?
128 ft
What are the dimensions of the square that has the perimeter and the area equal in value?
square with side length = 4 units
In a circle, a square has all its vertices on the circle and is inside of it. The area of the square is equal to 400 square cm. What is the area of the circular shape?
200 cm2