Answer:
x=-3/11
Step-by-step explanation:
(x+3)/5 +2x=0
Multiply both sides by 5 to get rid of the fraction
5*( x+3)/5 +5*2x=0*5
x+3 + 10x =0
Combine like terms
11x +3 = 0
Subtract 3 from both sides
11x+3-3 =0-3
11x = -3
Divide by 11
11x/11 = -3/11
x = -3/11
Answer:
C. 
Step-by-step explanation:
Given problem is
.
Now we need to evaluate the given limit.
If we plug
, into given problem then we will get 0/0 form which is an indeterminate form so we can apply L Hospitals rule
take derivative of numerator and denominator





=2
Hence choice C is correct.
Answer:
e^2 -7 = x
Step-by-step explanation:
2=ln(x+7)
Raise each side to the base of e
e^2 = e^ln (x+7)
The e^ln cancel
e^2 = x+7
Subtract 7 from each side
e^2 -7 = x +7-7
e^2 -7 = x
Answer:
The period of given function is 
So, Option B is correct.
Step-by-step explanation:
In this question we need to find the period of the function y= 3 sin x/8
The formula used to find period of function is: 
We need to know the value of b.
To find the value of b we compare the standard equation with the equation of function given.
Standard Equation: y = a sin(bx - c) +d
Given Equation: y= 3 sin(x/8)
Comparing we get:
a= 3
b= 1/8
c= 0
d=0
So, we get the value of b i.e 1/8. Putting it in the formula to find period of given function.


Solving,


So, the period of given function is 