X² - 14x + 33 = 0 is in the form ax² + bx + c = 0. We will need this for the second step.
Subtract 33 from both sides
x² - 14x = - 33
Divide the b term by 2 and then square the result. Then add that to both sides.
- 14 / 2 is - 7. (- 7)² = 49. Add that to both sides
x² - 14x + 49 = - 33 + 49
Combine the constants and factor the trinomial
(x - 7)² = 16
Square root both sides
x - 7 = +/- 4
or
x - 7 = - 4 and x - 7 = 4
You have to place a plus-minus statement because (- 4)² and 4² both equal 16.
Now we solve for x in each equation. Add 7 to both sides to isolate our variable.
x = 3 and x = 11
Answer:
The answer is
<h2>p = 2</h2>
Step-by-step explanation:
9(p-4)=-18
First expand the terms in the bracket
that's
9p - 36 = - 18
Group like terms
Send the constants to the right side of the equation
That's
9p = - 18 + 36
9p = 18
Divide both sides by 9
That's
9p/9 = 18/9
We have the final answer as
<h3>p = 2</h3>
Hope this helps you
Answer:
Correct choice is A
Step-by-step explanation:
If a function has an inverse, then there is at most one x-value for each y-value.
The tangent function is periodic with period 
Hence, at each value for which 
is defined, 
for each integer n. Therefore, the function does not have an inverse. Since tangent is not a one-to-one function, the domain must be limited. From examining the graph of the tangent function, we see that in each interval of the form
where k is an integer, the tangent function assumes every value in its range. Moreover, in each such interval, each y-value is achieved exactly once. Hence, we can create an invertible function by restricting the domain tangent function to one such interval. Such interval is an interval between two consecutive vertical asymptotes 
and 
Answer:
$9
Step-by-step explanation:
set up a proportion where 20% is represented as 20/100 and set it equal to 1.80/x
cross multiply and you should get 180=20x
divide by 20 to solve for x
you then get 9, which is the amount you were looking for
