Answer:
![x\in[-2.84,1.17]](https://tex.z-dn.net/?f=x%5Cin%5B-2.84%2C1.17%5D)
Step-by-step explanation:
The first, we will write our inequality in another form:
We want to know when is it equal to 0.
First we solve the equation 
:
So we want to know when is true. We know, when a>0 function is negative when x is between two zeros. In our example a=3>0. Then we have:
It is true if
Answer:
T(t) = 3sin((t-5)π/30)
Step-by-step explanation:
5 minutes after Thomas ties it on, the torque is zero and increasing. So, the sine function is shifted right 5 minutes. The maximum value is 3, so that is the multiplier of the sine function. The period is 60 minutes, so the coefficient of t is (2π/60) = π/30. The function you want is ...
T(t) = 3sin((t-5)π/30)
Answer:
4. U = 54
5. C=80
Step-by-step explanation:
Basically you move the denominator to the other side and multiply. please take note of the signs(positve, negative)
W= width
L= length= 2W-4
Perimeter= 70
FIND WIDTH:
P= 2(L + W)
P= 2L + 2W
substitute 2W-4 for L
70= 2(2W-4) + 2W
multiply 2 by all in parentheses
70= (2*2W) + (2*-4) + 2W
70= 4W - 8 + 2W
combine like terms
70= 6W - 8
add 8 to both sides
78= 6W
divide both sides by 6
13= W
FIND LENGTH:
substitute w=13 to find width
L= 2W-4
L= 2(13)-4
L= 26-4
L= 22
CHECK:
P= 2(L + W)
70= 2(22 + 13)
70= (2*22) + 2(13)
70= 44 + 26
70= 70
ANSWER:
length= 22 inches
width= 13 inches
Hope this helps! :)
