The function  is defined by  For what value of x does  ?

4T - 8D = 12H
The given equation can be rewritten as
T = aD + bH , where a and b are constants. What is the value of a?

A constant is a fixed value that does not change. Symbols such as a, b, c, etc., often represent constants. These constant symbols are used in algebraic expressions and equations to represent fixed values that do not change as per the above question; a and b are constants.

What value of n satisfies the given equation?

Solve for  in terms of  for the given 

For such questions, we should know the concept of functions.

The solution to the given system of equations is (x, y). What is the value of x?

The table shows several values of x and their corresponding values of f(x). The function f is defined by f(x) = mx + b, where  and  are constants. What is the value of b ?

Find the range of the function .

For such questions, we should know the concept of function.

In the figure shown, line t intersects lines l and k. Which additional piece of information is sufficient to prove that lines l and k are parallel?

The table gives the typical adult weight ranges and life spans for African and Asian elephants in the wild.

Based on the table, what is the typical minimum weight of an adult African elephant in the wild, in pounds? ( 1 ton = 2000 pounds)

Line l is shown in the xy - plane, and the point with coordinates (2, c) is on line l. What is the value of c ?

The graph shows the power capacity for the nine countries that had the greatest geothermal power capacity in 2010 . What was the capacity, in megawatts, of the country that had the median capacity of the nine countries?

Triangle ABC is similar to triangle DEF, where angle A corresponds to angle D. What is the value of  ?

What is the y -coordinate of the y -intercept of the graph of  ?

In a survey of 240 television viewers,  indicated that they like comedies, some indicated that they do not like comedies, and the rest did not respond. If one of the 240 viewers is selected at random, the probability is  that the viewer selected did not respond. How many of the 240 viewers indicated that they do not like comedies?

In the - plane, the points (-3,10) and (3,10) are endpoints of the diameter of a circle. Which equatic represents this circle?

Bridges have spaces between their sections to allow for expansion and contraction caused by temperature variation. This space is known as the gap width. The size of the gap width w(T), in inches, is a linear function of temperature T, in degrees Fahrenheit . For a certain bridge, the gap width is 2.875 inches at and is 1.875 inches at . Which of the following defines the relationship between temperature and gap width?