Hi there!

Work out the parenthesis.

Combine like terms.

Subtract 9 from both sides.

Subtract 4x from both sides

Divide both sides by -9
Answer:
Step-by-step explanation:
X^2=-y^2+10y+5
Answer:
(a)Therefore the value of x=
(b) Therefore the value of x 
Step-by-step explanation:
Horizontal tangent line: The first order derivative of a function gives the slope of the tangent of the function. The slope of horizontal line is zero.If the slope of tangent line is zero then the tangent line is called horizontal tangent line.
(a)
Given function is,

Differential with respect to x

For horizontal tangent line, f'(x)=0
3+ 3 cos x= 0
⇒3 cos x=-3
⇒cos x=-1
⇒x = 180° 
Therefore the value of x=
(b)
Given that, the slope is 3.
Then,f'(x)=3
3+ 3 cos x= 3
⇒3 cos x= 3-3
⇒cos x=0
⇒x = 90° 
Therefore the value of x 
The inequality would be 3.1h + 2.3b ≥100
Step-by-step explanation:
Earning of Tammy for each hour of work= $3.1
Total hours she worked= h
Earning for picking each bushel of apple= $2.3
Total bushel she picks= b
Her goal = minimum of $100
Hence total earning from working= earning from each hour* no of hours worked
Total earning= 3.1h
Similarly, total earning from picking up apple bushels= earning from picking one bushel*no of bushels picked
Total earning= 2.3b
According to question total earning must be greater than $100
Hence, 3.1h + 2.3b ≥100