14.

16.
x² +17x + 72
(x + 9)(x + 8)
x + 9 = 0 ∧ x + 8 = 0
x = -9 ∧ x = -8
17.
4v² - 16v + 7
Break the expression into groups
(4v² - 2v) + (-14v + 7)
Factor out 2v from 4v² - 2v and factor out -7 from -14v + 7
2v (2v - 1) - 7 (2v - 1)
(2v - 1) (2v - 7)
2v - 1 = 0 ∧ 2v - 7 = 0
2v = 1 ∧ 2v = 7

∧

18.
n² - 16n + 64
(n - 8) (n - 8)
n = 8 ∧ n = 8
19.
6t² - 54
Factor out the common term 6
6 (t² - 9)
Factor (t² - 9)
6 (t² - 9)
6 (t + 3) (t - 3)
t = -3 * 6 ∨ t = 3 * 6
t = -18 ∨ t = 18
20.
y² - 121
(y - 11) (y + 11)
y = 11 ∧ y = -11
If all the flags use material at the same rate, Nancy will need 3 times the fabric to make 3 times the number of flags. Nancy needs 3×(14 yd) = 42 yd for the whole team.
Answer:
y = - 4
Step-by-step explanation:
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line passes through
The line passes through (3, - 4 ) with y- coordinate - 4 , then
y = - 4 ← equation of line
Step-by-step explanation:
H(x)=

If g(x) values =0, h(x) will be undefined.
So f(x)=0, h(x) will be undefined.
Zo find values of f(x) equal 0.
That is when x=2. So the answer to first solution is 2.
h(x) is negative when (-oo, -3) U (2,oo)
Answer: The domain of the function
is:
Interval Notation: (-∞ , -7) ∪ (-7 , 0) ∪ (0 , 7) ∪ (7, ∞)
Set-Builder Notation: { x | x ≠ 0 , 7 , -7 }
All real numbers besides 0, 7, and -7.
Step-by-step explanation:
In order to find the domain of your rational function, we need to simplify it:

Remember, most of the time, the domain of a rational function consists of all real numbers besides zero.
To find the domain, we equal the equations in the denominator to zero.

--> 
--> 
So all real numbers except for 0, -7, and 7 are in the domain of this rational function.