A rectangular garden has a length that is 3 feet longer than its width. Let w represent the width of the garden, in feet. The entire garden is surrounded by a 2-foot-wide cement walkway. What does the algebraic expression (w + 4)(w + 7) represent in this context?
A.) the area of the garden only
B.) the total area of the garden and walkway
C.) the perimeter of the garden only
D.) the perimeter of the walkway only
A 12 foot long wooden beam is supported on both ends. When a weight load is placed in the center of the beam, it causes the beam to sag. The sag is called deflection. The graph shows the deflection of the beam, in inches, as a deflection of the weight load, in pounds, placed in the center of the beam.
For every 50-pound increase in the weight load, what will be the change in deflection?
A.) an increase of 0.5 inch
B.) a decrease of 0.5 inch
C.) an increase of 0.25 inch
D.) a decrease of 0.25 inch
A company has developed a new video game console. After completing cost analysis and demand forecasts, the company has determined that the profit function for the new console is f(g) = -250g² + 70,000g - 4,570,000,
where g is the number of consoles sold. What is the domain of the profit function?
A.) all integers
B.) all rational numbers
C.) all integers greater than or equal to 0
D.) all rational numbers greater than or equal to 0
The function f is defined as f(x) = x(x² - 4) - 3x(x - 2).
The function f(x) = 2x - 3 has a graph in the xy-coordinate plane. Select the graph that depicts the solution set of f(x).
What are the zeros of x(x² + 4x - 12) ?
Indicate all zeros.
A function is shown:
f(x) = x² + 2x - 3
Show the x-intercepts and maximum or minimum of the function.
Algebra 1 State Test Practice Archives