Say x is the number
7x +3 = 39 -2x
Add 2x to each side
9x +3 =39
Subtract 3 from each side
9x =36
Divide by 9 on each side
x=4
Hope this helped
Option 2.
shows the correct way to use the quadratic formula to solve the given equation.
Step-by-step explanation:
Step 1:
For an equation of the form
the solution is
.
Here a is the coefficient of
, b is the coefficient of x and c is the constant term.
can also be written as 
Comparing
with
, we get that a is 1, b is -4 and c is -21.
To get the solution, we substitute the values of a, b, and c in
.
Step 2:
Substituting the values, we get


This is option 2.
Answer: 33.3%
s Step-by-step explanation: The combined arc length of the red area is 120, which is 1/3 of 360, the full arc. So the probability is 1/3, or 33.3%. Hope this helps!
Answer:
14
Step-by-step explanation:
I did 35 divided by 5 which is 7. Since it is seven centimeters per night I did 98 divided by 7 which is 14.
Answer:
(a)
(b)P'(5)=-($4.54) Thousand
(c)P'(11)=-($2.10) Thousand
(d)The fifth Month
Step-by-step explanation:
Given the monthly profit model:

(a)We want to derive a model that gives the Marginal Profit, P' of the book.
We differentiate
using quotient rule.

Simplifying

We have derived a model for the marginal profit.
(b) After 5 months, at t=5
Marginal Profit=P'(5)


=-($4.54) Thousand of dollars
(c)Marginal Profit 11 Months after book release

=-($2.10) Thousand of dollars
(d) Since the marginal profit at t=5 is negative, after the 5th Month, the profit starts to experience a steady decrease.