Answer:
Consecutive whole numbers (or integers) are numbers that directly follow one another.
Eg: 1, 2, 3, 4, 5 are consecutive whole numbers.
Step-by-step explanation:
Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108.
or
let the three consecutive whole numbers is x, x+1,and x+2
x + x+1 + x+2 = 4+2(x+1)
3x+3=4+2x+2
3x-2x=6-3
x=3
the other two numbers are 3+1=4,and 3+2=5
so the three numbers are 3,4 and 5
9514 1404 393
Answer:
(5, 6) is (h, k)
Step-by-step explanation:
Vertex form is an instance of the transformation of parent function f(x) = x². It is vertically scaled by a factor of 'a', and translated so the vertex is point (h, k). That is, the transformed vertex is h units right and k units up from that of the parent function (0, 0).
Parent:
f(x) = x^2
Transformed:
f(x) = a(x -h)^2 +k
__
When you compare the form to your specific instance, you need to pay attention to what it is that you're comparing. As the attachment shows, ...
- a = 2
- -h = -5 ⇒ h = 5
- k = 6
Hence the vertex is (h, k) = (5, 6). The second attachment shows this on a graph.
Answer:
7 hours 15 minutes
7.25 hours
Step-by-step explanation:
Break from 11:45 am to 12:30 pm = 45 minutes
Two 15-minute unpaid coffee breaks during the day = 30 minutes
Total break hours = 45 minutes + 30 minutes
= 1 hour 15 minutes
Total work day hours from 8:30 am to 5:00 pm = 8 hours 30 minutes
How many hours are you paid?
Total hours paid = Total work day hours - Total unpaid break hours
= 8 hours 30 minutes - 1 hour 15 minutes
= 7 hours 15 minutes
b) Express your answer as a decimal in hours only
7 hours 15 minutes as a decimal
15 minutes to hour = 60 minutes/15 minutes
= 1/4
= 0.25 hours
7 hours 15 minutes as a decimal = 7 hours + 0.25 hours
= 7.25 hours
1/10*(f-220) or 0.1(f-220)