Step-by-step explanation:
State you answer in the simplest form
Let the model for the change in water vapor be
y = x^3 − 8x^2 + 15x
to find the x intercepts we can factor this expression
x^3 − 8x^2 + 15x = x(x−3)(x−5)
the x intercepts are 0, 3, 5
Hope this helps!
Did you mean this? <span>3^2x+1=3^x+5 => 3^(2x+1) = 3^(x+5)? If so, then 2x+1 is necessarily equal to x+5, so that 2x+1=x+5. Thus, x = 4 (answer).
Those parentheses are not optional; they must be part of your problem statement and solution.</span>
Answer:
23, 25, 27
Step-by-step explanation:
It can be convenient to work "consecutive integer" problems by using a variable to represent the middle one.
__
<h3>setup</h3>
Let x represent the middle integer. Then (x-2) is the first of the three odd integers, and (x+2) is the third. The given relation is ...
2(x -2) +3x = 67 +2(x +2)
<h3>solution</h3>
5x -4 = 2x +71 . . . . . simplify
3x = 75 . . . . . . . . add 4-2x
x = 25 . . . . . . . divide by 3
The three integers are 23, 25, 27.
Answer:
39. r = 13.4
40. m = 12
Step-by-step explanation:
39. Given the equation, 
, to solve for r, the following are the correct steps to take to arrive at the solution:
(given)
Add 0.8 to both sides of the equation (addition property of equality)
(this is where the error occurred.)
40. The correct steps to take in solving the equation, 
is as follows:
(given)
Multiply both sides by 3 (multiplication property of equality)
(this is where the error occurred. This is what we should have at this line/step)
(dividing both sides by -1)
