Sure! I'm happy to help you check your answers. Let's go through each question one by one:
1) To find the next number in the pattern -2, 3, 8, 13, you can see that the pattern is increasing by 5 each time. So, you add 5 to 13 to get the next number: 13 + 5 = 18. Your answer is correct.
2) The equation -4(x+4) = -4x-16 illustrates the distributive property. You distributed the -4 to both terms inside the parentheses correctly. Your answer is correct.
3) To solve the compound inequality 5x+11 >= -9 and 10x-3 <= 27, you need to solve each inequality separately and then find the intersection of their solution sets. For the first inequality, subtract 11 from both sides and divide by 5 to get x >= -4. For the second inequality, add 3 to both sides and divide by 10 to get x <= 3. Taking the intersection of these solution sets, you have x >= -4 and x <= 3. Your answer is correct.
4) To solve the absolute value equation |3x+1| = 1, you need to consider both possibilities: 3x+1 = 1 and 3x+1 = -1. Solving the first equation, you get 3x = 0, so x = 0. Solving the second equation, you get 3x = -2, so x = -2/3. Your answer is correct.
6) The equation -12x+11y=-8 can be rewritten in slope-intercept form y = mx + b by solving for y. Rearranging the equation, you have 11y = 12x - 8, so y = (12/11)x - 8/11. The slope is 12/11 and the y-intercept is -8/11. Your answer is correct.
7) To find the equation of the line in point-slope form that passes through the point (9,3) and has a slope of 4/9, you can use the formula y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope. Plugging in the values (9, 3) and 4/9, you get y - 3 = (4/9)(x - 9). Your answer is correct.
8) To find the line of best fit for the given data, you need to perform linear regression analysis. This involves using statistical techniques to find the line that best fits the data points. Given the limited information provided here, I'm unable to calculate the exact line of best fit and predict the cost of a gallon of gasoline in 2026. Additional data points and analysis would be necessary.
9) Without the specific function provided, it is not possible to compare it to the parent function and determine the vertex, axis of symmetry, and transformation. Please provide the specific function for a more accurate answer.
10) To graph the inequality -6y >= 5x - 4, you would start by graphing the line y = (5/6)x - 4/6 (or y = (5/6)x - 2/3) using the slope-intercept form. Then, since the inequality is -6y >= 5x - 4, you would shade the region below or on the line because -6y is greater than or equal to (or includes) 5x - 4. Your description of the graph being shaded and flipped from top to bottom is accurate. Your answer is correct.
Overall, it appears that most of your answers are correct. Keep up the good work!