Answer:
We need to flip the symbol at the end of the question.
answer: x<= 6.5
Step-by-step explanation:
Given inequality: 2(x-4)+5<=4(x-4)
Distribute: 2x-8+5<=4x-16
Undo a constant term from left side: 2x-3<= 4x-16
Combining the like terms: 2x-4x<=-16+3
Undo the coefficient term from left: -2x<=-13
Undo the variable term: x<=(13/2)=6.5
Now checking if this is write: Lets take x=6<6.5
Put x=6 in given inequality:
2(6-4)+5<=4(6-4)
2(2)+5<=4(2)
4+5<=8
9<=8 (which is not possible)
so we need to flip the inequality
2(x-4)+5>=4(x-4)
9>8
Answer:
C 7ft/yr
Step-by-step explanation:
The given points are not all on the same line, so the average will vary depending on the interval of interest.
Over the interval [1, 11] years, the average rate of change of height is ...
change in height / change in years = (80 -10)/(11 -1) = 70/10 = 7 . . . ft/yr
__
On the interval [11, 15] years, the average rate of change is ...
(105 -80)/(15 -11) = 25/4 = 6.25 . . . ft/yr
Even on this interval, the closest answer choice is C.
The length of the shortened leash is 6 feet because there are 3 feet in a yard. 4 times 3 equals 12. Then you would do 12 minus 6 to get your new answer of 6 feet!
Since the cosine is zero when the angle is an odd multiple of
, you have
.
Divide both sides by 2 and you get
The diameter is about 49.1
You can find this using the equation: 31^2 = 15 x (15+diameter)
Hope this helped!!