Answer: 4) y = -1/3x² + 2x - 1
Step-by-step explanation:
Given :
y = 
+ 2
Expanding (x-3)² will give :
- 6x + 9
substituting into the function , we have :
y = 
- 6x + 9 ) + 2
Expanding , we have
y = 
+ 2x - 3 + 2
y = 
+ 2x - 1
Answer:
Since he can't work a fraction of a day, he'll have to work at least 6 days to have enough money for the tank. The inequality hat represents his situation is 23*x + 20 >=140.
Step-by-step explanation:
In order to create an inequality to this problem we first need to take the initial amount he has and sum it with the days he has to work "x" multiplied by the amount he earns each day. We then have:
saleem money = 20 + 23*x
Since he wants to buy a $140 fish tank he needs to work until his money is greater or equal than this amount. So we have:
23*x + 20 >= 140
23*x >= 140 -20
23*x >= 120
x >= 120/23
x >= 5.22
Since he can't work a fraction of a day, he'll have to work at least 6 days to have enough money for the tank. The inequality hat represents his situation is 23*x + 20 >=140.
Answer:

Step-by-step explanation:
<u><em>The correct expression is</em></u>

we know that


substitute in the expression above

Answer:
f(x) = 3
Step-by-step explanation:
f(0) = 3 means you have the ordered pair (0, 3)
f(-6) = 3 means you have the ordered pair (-6, 3)
Form this point, you can look at the ordered pair and see that the y values are the same but the x values are difference. This is a line with slope = 0 and the graph of the line is horizonal .
But if you need more explanation see below.
1. Find the slope using the ordered pair above
slope = (3 - 3)/ (-6 - 0) = 0/-6 = 0 so the slope = 0
2. Find the y intercept (b) by using the slope intercept formula: y = mx + b
y = mx + b
3 = 0(0) + b
3 = b
equation of the line: y = 0x + 3; y = 3 remember y = f(x)
so f(x) = 3