This is a timed quiz. You will be given 60 seconds per question. Are you ready?
Substituting 3/2 into the function, we get 4(3/2) - 4(3/2) = 6 - 4(1/2)3 = 6 - 23 = 6 - 8 = -2. This is response A.
Choice D is correct Factor 6b2-24b+24=6(b2-4b+4) 6(b-2)2
The sum of measures of a triangle is 180 degrees. Therefore, x + 88 + 43 = 180, or x = 49.
The third side of the triangle must be greater than the smallest side (4) and less than the sum of the two sides (4+8=12)
We can model this situation by the equation 1/3x + 60 = 1/2x . Solving for x, we get x=360 , which is answer A. a. Correct b. This is the number of miles he drove before he figured out how much of his trip was left. c. This amount is how much he drove the first day. d. This is how much he drove the second day. e. This amount is half of the distance he covered by the end of the second day.
Since you have x dollars to spend, you must divide x by the sale price of a CD, which is (100%-20%)d or 80%d . 80%d can be written as a fraction in lowest terms as 4/5d . Therefore, you are dividing x/(4/5d) = 5x/4d. This is answer E. a. This is the percent of the original price times x. b. This is the reciprocal of the sale fraction times x. c. This is the fraction of the original price, which represents the sale price. d. This comes from incorrectly handling the fraction in the denominator. e. Correct
Asking for the value of f(2) is just a way of saying “what does y equal when x=2 ?” So you look for when x=2 . On the graph, we have the point (2,1/2) . Note that exact numbers are not provided in the graph, but standard practice indicates that each tick mark is one unit. So we moved 2 tick marks to the right, and then the line crosses through a point on the y axis between 0 and 1. Therefore, f(2) is equal to 1/2 . Choice B is the only possible choice.
x2 x2 + 2x x(x + 2) -2 < x < 0
Choice (B) is correct. Since x lies within all three circles, x is the number of people who purchased all three flavors. Since 15 people purchased strawberry ice cream, it follows that 6+2+3+x=15 Solving this equation yields x=4. From the diagram, 2+2+4+x people purchased chocolate ice cream. Since x=4 it follows that 2+2+4+4=12 people purchased chocolate ice cream.
To find the slope of a line, the equation must be solved for y. The coefficient of x is the slope when the equation is solved for y. The only equation above that gives a coefficient for x of -3 is C.
