Answer:
x = -1/7
Step-by-step explanation:
simplify by bringing all the x to the left and all the constants to the right:
6x + x = 1 - 2
7x = -1 (divide by 7)
x = -1/7
Answer:
It will take 56 seconds
Step-by-step explanation:
A water hose used one -eighth of a gallon of water and every second. This means that the flow rate is
1/8 gallon per second.
If Halsey need to fill up 7 gallons sized containers, let x represent the number of seconds that it will take Halsey to fill up 7 gallons. Therefore,
1/8 gallons = 1 second
7 gallons = x seconds.
Cross multiplying,
1/ 8 × x = 7 × 1
x/8 = 7
x = 8 ×7 = 56 seconds
Answer:
B. csc²(x)
Step-by-step explanation:
You can use the relations ...
sec(x) = 1/cos(x)
csc(x) = 1/sin(x)
cot(x) = cos(x)/sin(x)
to replace the functions in your expression. Then you have ...
sec²(x)·cot²(x) = (1/cos(x)·cos(x)/sin(x))² = (1/sin(x))² = csc²(x)
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Alternate solution
You can also use the relation
cot(x) = csc(x)/sec(x)
Then ...
(sec(x)·cot(x))² = (sec(x)·csc(x)/sec(x))² = csc²(x)
Answer:
140
Step-by-step explanation:
Good luck! :)
