answer:We have g(2x - 5) = 3x + 9 for all real x. Setting 2x - 5 = 1, we find x = 3. Substituting x = 3 into the equation g(2x - 5) = 3x + 9, we get g(1) = 3(3) + 9 = boxed{18}. The answer is: 18

answer:To solve this problem, we need to determine the value of x, which represents the additional liters of gas that Mr. Deane will fill on Friday. Let's break down the information given: Cost per liter of gas today: 1.4 Number of liters of gas Mr. Deane will fill today: 10 Cost per liter of gas on Friday: 1.4 - 0.4 (due to the price rollback) Number of liters of gas Mr. Deane will fill on Friday: x Total cost of gas: 39 Total liters of gas: 35 We can set up the equation as follows: (Number of liters of gas today * Cost per liter of gas today) + (Number of liters of gas on Friday * Cost per liter of gas on Friday) = Total cost of gas (10 * 1.4) + (x * (1.4 - 0.4)) = 39 Let's simplify and solve for x: 14 + (x * 1) = 39 To isolate x, we subtract 14 from both sides of the equation: 14 - 14 + (x * 1) = 39 - 14 x = 25 / 1 x = 25 The value of x is 25. 25 The answer is: 25

answer:To find the x-intercept, we set y=0 and solve for x: 0 - 4 = 4(x - 8) -4 = 4x - 32 4x = 28 x = 7 So the x-intercept is (7, 0). To find the y-intercept, we set x=0 and solve for y: y - 4 = 4(0 - 8) y - 4 = -32 y = -28 So the y-intercept is (0, -28). The sum of the x-intercept and y-intercept is 7 + (-28) = boxed{-21}.The answer is: -21

answer:To find 0.3 more than 29.8, we add 0.3 to 29.8. So, 0.3 more than 29.8 is 29.8 + 0.3 = boxed{30.1}.The answer is: 30.1