In the triangle shown, what is the value of tan x°?A) 1/26B) 19/26C) 26/7D) 33/7 Answer For questions related to sin, cos and tan, always remember this acronym. SOH-CAH-TOA The question is related to TAN so we’ll look at TOA from the acronym above: TAN of angle = Opposite side’s length divided by Adjacent side’s […]
The function h is defined by h(x) = 3x − 7. What is the value of h(−2)?A) −13B) −10C) 10D) 13 Answer We’re given the function: h(x) = 3x – 7 And we’re told to solve h(-2), which means x=-2 To find h(-2), we substitute (-2) everywhere we see (x). Original equation: h(x) = 3x […]
The triangle shown has a perimeter of 22 units. If x = 9 units and y = 7 units, what is the value of z, in units?A) 6B) 7C) 9D) 16 Answer The perimeter of an object is the sum of the length of all its sides. Imagine you want to construct a rope fence […]
What is the solution to the given equation?-54/w = 6 For the function f, the graph of y=f(x) in the xy-plane has a slope of 3 and passes through the point (0, −8). Which equation defines f?A) f(x) = 3xB) f(x) = 3x − 8C) f(x) = 3x + 5D) f(x) = 3x + 11 […]
Which expression is equivalent to 50x(squared) + 5x(squared)?A) 250x(squared)B) 10x(squared)C) 45x(squared)D) 55x(squared) The population density of Cedar County is 230 people per square mile. The county has a population of 85,100 people. What is the area, in square miles, of Cedar County? This is a simple addition question because x(squared) is common in both terms. […]
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What is 23% of 100?A) 23B) 46C) 77D) 123 If x = 40, what is the value of x + 6?A) 34B) 40C) 46D) 64 Remember, percent means “per” means “divide” and “cent” means “100”, therefore, percent can be written as “/100“ Therefore, 23 percent, or 23% can also be written as 23/100 or 23 […]