Hello. Three quick questions that I have worked on just need confirmation. 1. I need to find the intercepts and then use them to graph the equation. 2y-6=2x; I have x = 0 for y - intercept; 2y-6=2(0); 2y-6 = 0; 2y = 6; y = 3. I set y at 0 also. 2 (0) - 6 = 2x; -6=2x; -3=x. so the points are
(-3,0), (0,3).
2. Identify the y - intercept. I used the formula y=mx+b; y intercept is (0,3);
3. I need to translate to an inequality: The amt of acid is not to exceed 300 liters. I said, x (the greater then or equal to sign here)300??
Thank you I just need some intelligent input! :)
how did you get the x intercept as zero? I would recheck that. X intercept is when y is zero.
3. acid<=300liters
Wow, I'm not sure now. I will have to recheck the first question. Thank you.
Hello! Let's go through your questions one by one:
1. To find the intercepts and graph the equation 2y-6=2x, you correctly found the y-intercept by substituting x=0 into the equation. By doing this, you solved 2y-6=2(0), which simplifies to 2y-6=0. Then, you solved for y by isolating y on one side, which gives you 2y=6 and y=3. So the y-intercept is (0, 3).
Next, you set y=0 to find the x-intercept. You substituted 0 for y in the equation 2(0)-6=2x, which simplifies to -6=2x and -3=x. Therefore, the x-intercept is (-3, 0).
Based on the intercepts you found, the points on the graph are (-3, 0) and (0, 3).
2. To identify the y-intercept of the equation 2y-6=2x, you correctly used the formula y=mx+b. In this case, the y-intercept is represented by the value of b. By rearranging the equation in the form y=mx+b, you can see that the constant term -6 corresponds to the y-intercept. So the y-intercept is (0, -6).
However, you made a mistake when stating that the y-intercept is (0, 3). The correct y-intercept is (0, -3).
3. To translate "The amount of acid is not to exceed 300 liters" into an inequality, you correctly expressed it as x ≥ 300, where x represents the amount of acid.
Here's a tip to remember: If the phrase "not to exceed" is used, you can represent it with the inequality symbol "≥" because it means the value can be equal to the limit or greater than it.
Great job on your work! I hope this clarifies your questions. Let me know if there's anything else I can help you with!