Answer:
Domain (-4,6)
Range(5,0)
Step-by-step explanation:
Answer:
61.15702689
Step-by-step explanation:
= 1 / 6 (49/9-14/3) + 27 / 73 / 5 × 33
= 1/6 x 7/9 + 61.02739726
= 61.15702689 = 61.16 (2 d.p.)
Answer:
F
Step-by-step explanation:
So lets use the process of elimantion to find the answer.
Firs off, we can tell that this is a greater/less than or equal to inequlaity, since there is a inclosed circle, not a open one. So this leaves the top left answer and bottem right answer.
Now, we can see that the graph is from 0-15. X is at 7.
This means its x+8, because the x would be smaller, or possibly even negatibe on this graph.
My theory that can better support my annwer is if we solve for x:
x+8=15
We can subtract 8 from both sides:
x=7
And as we can see on the inequality, x is at 7 in the graph.
Hope this makes sense and helps!
Answer:
Step-by-step explanation:
11. identity property
12. associative property
13. commutative property
14. zero property
Answer:
rate of the plane in still air is 33 miles per hour and the rate of the wind is 11 miles per hour
Step-by-step explanation:
We will make a table of the trip there and back using the formula distance = rate x time
d = r x t
there
back
The distance there and back is 264 miles, so we can split that in half and put each half under d:
d = r x t
there 132
back 132
It tells us that the trip there is with the wind and the trip back is against the wind:
d = r x t
there 132 = (r + w)
back 132 = (r - w)
Finally, the trip there took 3 hours and the trip back took 6:
d = r * t
there 132 = (r + w) * 3
back 132 = (r - w) * 6
There's the table. Using the distance formula we have 2 equations that result from that info:
132 = 3(r + w) and 132 = 6(r - w)
We are looking to solve for both r and w. We have 2 equations with 2 unknowns, so we will solve the first equation for r, sub that value for r into the second equation to solve for w:
132 = 3r + 3w and
132 - 3w = 3r so
44 - w = r. Subbing that into the second equation:
132 = 6(44 - w) - 6w and
132 = 264 - 6w - 6w and
-132 = -12w so
w = 11
Subbing w in to solve for r:
132 = 3r + 3(11) and
132 = 3r + 33 so
99 = 3r and
r = 33
