That means the answer is (B) by process of elimination. If you ballpark (C) and (D), putting 10 or 15 in the function will give you a number bigger than 100, and you're looking for 76, so (C) and (D) are too big. You can tell that f (4) will be between 22 and 54, so you can cross out (A). If f(x) = 2x 2 + 4 for all real numbers x, which of the following is equal to f(3) + f(5) ? That matches the information in the question, so (B) is correct. The sales for the regular gasoline would be 475($2.39) = $1,135.25.
A total of 550 gallons were sold, so the station would have sold 550 - 75 = 475 gallons of regular gasoline. If 75 gallons of premium were sold, the station would make 75($2.79) = $209.25 for those sales. Label them as gallons of premium and start with the value in (B). When asked for a specific value, try Plugging In the Answers. If the gas station sold a total of 550 gallons of both types of gasoline in one day for a total of $1,344.50, how many gallons of premium gasoline were sold? A gas station sells regular gasoline for $2.39 per gallon and premium gasoline for $2.79 per gallon.
You can use a calculator for questions 1–2. Private Tutoring with Pass Assurance NEW.Then we can substitute 1/2 for a, which gives us -10 + 6(1/2) = -10 + 3 = -7. We know that there is a bx on the right, so in order for the two expressions in our problem to be equal, the following must be true:ĭividing out the x on both sides gives us the following: To get b, we can take the terms with x on the left and put them together: Then add 1 and divide by 2 on both sides: We can then solve for a by dividing out the x^2 on both sides: We know that there is no x^2 on the right, so in order for the two expressions in our problem to be equal, the following must be true: Then we can take the terms with x^2 on the left and put them together: We want to get rid of the parentheses so that we can see all of the coefficients. We can therefore start by setting them equal: In this question type, we are told that an expression is equal to another expression. Add 6a to both sides and then divide by 6 on both sides to get a:Ī = 9/6 = 3/2 Question 2: Multiple choice, calculator not permitted We are left with a two-step equation to solve. Moving the a2 over to the left and simplifying gives us the following: From there, we solve for a first by FOILing the left side:īecause it is a quadratic equation, we need to move everything to one side to solve. We then can set (a – 3)^2 equal to a^2 because they both represent the same value, g(a). We get that alternative value for g(a) by plugging a into the equation for function g, g(x). In order to get the value of a, we need an alternative value for g(a) so that we then have a system of equations. By contrast, a represents a specific input that was put into the equation, giving us the output g(a) = a^2. First realize that g(x) is the output and x is the input for the function g.
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