Could someone be nice enough to check my answers please?
1)Identify a pattern and find the next number in the pattern.
-2,3,8,13
my answer; 18
2)Name the property of real numbers illustrated by the equation.
-4(x+4)=-4x-16
my answer; distributive property
3)Solve the compound inequality.
5x+11>=-9 and 10x-3<=27
my answer; x>=-4 and x<=3
4)olve the absolute value equation.
[3x+1]=1
my answer; x=-2/3 or x=0
6)Write the equation in slope intercept form.What are the slope and y-intercept?
-12x+11y=-8
my answer; y=12/11x-8/11
slope12/11;y-intercept -8/11
7)What is an equation of the line in point slope form that passes through the given point and has the given slope?
point(9,3) slope4/9
my answer; y-3=4/9(x-9)
8) You research the cost of a gallon of gasoline over several years to look for a trend. The table show your data.. What is a line of best fit for the data? Based upon these prices, how much would you expect to pay in 2026?
year
1980 1984 1988 1992 1996 2000 2001 2004 2008 2012
price per gallon
1.25 1.27 1.05 1.28 1.43 1.68 2.11 3.72 3.99
my answer; don't understand
9)Compare the function with the parent function. Without graphing what are the vertex, axis of symmetry, and transformation of the parent function?
my answer; don't understand
10) What is the graph of the inequality?
-6y>=5x-4
my answer; its a graph shaded, flip / from top to bottom
If anyone has time to check my answer it will be helpful
Good job
#1 - 7 are correct
#8 asks for a function which best describes the given data. I don't know at what level you would be studying this , so I can't comment on it
#9 probably had some diagram, which we can't see
#10
- 6y ≥ 5x - 4
y ≤ (-5/6)x + 2/3
sketch the line y = (-5/6)x + 2/3 and shade in the entire region below the line, including the line itself
Thank you for checking.
Are you in Algebra 2?
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!