Parabola
You use this form to find the equation of a parabola given three points.
What is Standard Form?
The method most commonly used to solve three equations with three unknowns.
What is "elimination"?
The equivalent exponential equation to:
y=logb(x)
What is by=x?
The general form of an exponential equation.
What is y=abx?
The extra axis needed to graph in 3D.
What is the z-axis?
This is the first step to find the equation of a parabola given three points.
What is "plug in the points to x&y to get the three equations"?
The main goal of the first few steps for solving three equation three unknowns.
What is "cancelling out a variable to get two equations with two unknowns"?
The answer to:
logx(8)=3
What is "2"?
The general form of an exponential equation with a horizontal asymptote at y=12.
What is y=abx+12?
The graph of the point:
(3,4,5)
Graph must be shown. Point is in +/+/+ octant.
The variable you should always try to eliminate first.
What is the "c" value?
The answer to the following system:
8x-2y+6z=9
4x+5y=3
-4x+7y=21
What is (-1.75, 2, 4.5)?
The answer to:
5x=67
What is "2.613"?
The exponential equation that passes through the points (0,3) and (2,27).
What is y=3(3x)?
The graph of the plane:
2x+3y+4z=24
Graph must be shown. Intercepts are at:
(12,0,0)
(0,8,0)
(0,0,6)
The equation of the parabola that goes through the following points: (2,81) (7,6) (10,33).
What is y=3x2-42x+153?
The answer to the following system:
x+y+z=2
2x+2y+2z=4
3x+3y+3z=10
What is "no solution"?
The answer to:
3(7x)+4=124
What is "1.896"?
The exponential equation that passes through the points (2,12) and (5,96).
What is y=3(2x)?
The intersection of two unique planes.
What is a line?
While reading a recent study done on people of various ages, you notice a trend. The study counted the number of times in a 24 hour period that the people misunderstood or misinterpreted a statement, comment, or question. The study offers the numbers shown in the table below.
20 years: 44 misunderstandings/misinterpretations
30 years: 28 misunderstandings/misinterpretations
40 years: 20 misunderstandings/misinterpretations
You believe that the number of misunderstandings should reach a minimum at some age then go up again for very old people. Therefore, you assume that a quadratic function will best model this data. Find the equation that best fits this data.
y=0.04x2-3.6x+100
The solution to the following system:
21x-7y+14z=70
15x-5y+10z=50
-3x+y-2z=-10
What is "infinitely many solutions"?
The following expression written as one logarithm:
log3(123)+log3(456)
What is log3(56,088)?
Climbing Mt. Everest is not an easy task! Not only is it a difficult hike, but the Earth’s atmosphere decreases exponentially as you climb above the Earth’s surface, and this makes it harder to breathe. The air pressure at the Earth’s surface (sea level) is approximately 14.7 pounds per square inch (or 14.7 psi). In Denver, Colorado, elevation 5280 feet, the air pressure is approximately 12.15 psi. Write the particular equation representing this data expressing air pressure as a function of altitude.
What is the air pressure in Mexico City, elevation 7300 feet?
(Note: You will need to carry out the decimal values several places to get an accurate equation and air pressures.)
What is "11.29psi"?
y=14.7(0.999964x)
The four outcomes (types of solutions) of three equations with three unknowns.
What is "no solution, a point, a line, or infinite solutions"?