Vertex form is the highest part of a curved line.
Answer:
1. 6.75x or (6.75, 1)
2. He buys 9 sandwiches.
Step-by-step explanation:
For the first one, we know that he pays $6.75 for each sandwich, so if x equals the number of sandwiches, when written out it would be 6.75x
For the second one, we have to divide it up and solve one step at a time, and when we start solving them, we will find the pieces to figure out the other problems. Let's start with how much he paid. We know that he paid $80, but we have to remember that he got change back. So to find out how much he truly paid, we subtract the 19.25 from the 80. When we do this, we get 60.75. Now, to find out how many sandwiches he got, we can use how much he paid for each one. We know that he paid $6.75 for each one, and in total he spent $60.75. So to find out, we can simply divide 6.75 into 60.75, and we get 9. So now we know that he bought 9 sandwiches.
I hope this helps :)
Answer:
-> a slope of 3.5
Step-by-step explanation:
The smaller the slope the smaller the incline, here 3.5 > 4.6 so the 3.5 slope is shallower.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
x = 2 π n_1 + π/2 for n_1 element Z
or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z
Step-by-step explanation:
Solve for x:
-3 + sin(x) + 2 sin^2(x) = 0
The left hand side factors into a product with two terms:
(sin(x) - 1) (2 sin(x) + 3) = 0
Split into two equations:
sin(x) - 1 = 0 or 2 sin(x) + 3 = 0
Add 1 to both sides:
sin(x) = 1 or 2 sin(x) + 3 = 0
Take the inverse sine of both sides:
x = 2 π n_1 + π/2 for n_1 element Z
or 2 sin(x) + 3 = 0
Subtract 3 from both sides:
x = 2 π n_1 + π/2 for n_1 element Z
or 2 sin(x) = -3
Divide both sides by 2:
x = 2 π n_1 + π/2 for n_1 element Z
or sin(x) = -3/2
Take the inverse sine of both sides:
Answer: x = 2 π n_1 + π/2 for n_1 element Z
or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z
Answer: The answer is 8.8