Answer:
(4, -3)
Step-by-step explanation:
the equation f(x-5) is a translation of the equation f(x) by 5 units to the right.
So, if all points of the equation f(x) are shifted 5 units to the right, the minimum point of the graph is also shifted 5 units to the right, so to find the minimum point of y = f(x - 5), we just need to sum 5 units to the x-coordinate:
Minimum point = (-1 + 5, -3) = (4, -3)
So the minimum point of y = f(x - 5) is (4, -3).
Answer:
8
Step-by-step explanation:
To solve this, you can add 2/5 b to both sides of the equation. You now have 3 + 5/5 (or 1) b = 11. => 3 + b = 11 => Now, subtract 3 from both sides, and you have b = 11 - 3, and then b = 8.
Step-by-step explanation:
To find the slope, calculate rise and run. The formula is as follows...
Answer:
2 (x + 3)^2 - 2
Step-by-step explanation:
1. Factor the 2 out of the equation (don't forget about it - it will be used later). This gives you x^2 + 6x + 7
2. Subtract the 7 over. This gives you x^2 + 6x = -7
3. Take b (6), divide it by 2 (3), and square it (9). Then add that to both sides of the equation. This gives you x^2 + 6x + 9 = 2
4. Factor the left side of the equation. This gives you (x + 3)^2 = 2
5. Subtract the 2 over. This gives you (x + 3)^2 - 2
6. Remember that 2 we factored out of the equation earlier? Well that goes in front of the parentheses now, giving you the final answer of 2 (x + 3)^2 -2
Answer:
9 weeks.
Step-by-step explanation:
First, find how many dollars Navid needs to save.
288-72= 216
Then, divide how much money that is needed by the number of dollars that are saved per week.
216/24= 9
Then tie it up into an equation:
(288-72)/24= x
x=9
