Answer:
The domain is (-∞ , -3) ∪ (-3, ∞) ⇒ D
Step-by-step explanation:
<em>The domain of the rational fraction is t</em><em>he values of x which make the fraction defined</em><em>. That means </em><em>the domain does not contain the values of x which make the denominator equal to 0</em><em>.</em>
∵ g(x) = 
∴ The denominator = x + 3
→ Equate the denominator by 0
∵ x + 3 = 0
→ Subtract 3 from both sides
∴ x + 3 - 3 = 0 - 3
∴ x = -3
→ That means the domain can not have -3 because it makes the denominator
equal to 0
∴ The domain is all values of real numbers except x = -3
∴ The domain = {x : x ∈ R, x ≠ -3}
∴ The domain = (-∞ , -3) ∪ (-3, ∞)
let
x = the number of party favors in each of the 27 boxes
y = the number of party favors in the last box
the total number of party favors is 1,552
27x + y = 1,552
since 1552 = 57*27 + 13
if we assume that y<x we conclude that there are 57 party favors in each of the 27 boxes and 13 party favors in the last box.
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Answer:
5x + 6y = -14
Step-by-step explanation:
Standard form means the x term will be on the farthest left, then the y term next, set equal to the constant (plain number) all by itself on the right.
Like this:
Ax + By = C
So you have
-5x - 14 = 6y
Add 14 to both sides.
-5x = 6y + 14
Subtract 6y from both sides.
-5x - 6y = 14
Also multiply both sides by -1, to make sure your A value (number next to the x) is positive.
5x + 6y = -14
Answer:
x=5
Step-by-step explanation:
Since both of these length are equal, 6x+4=8x-6, 2x=10, x=5
