Answer:
30% and added to/subtracted from
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
x/3-1= -3
You subtract 3 from 1 to simplify
x/2= -3
Then you multiply 2 to each side
x= -6
Answer:
28x +196 in^2
Step-by-step explanation:
The outside dimension of the square green rug is (x+14), so its area is (x+14)^2. The area of the green band will be the difference between this and the area of the yellow square, (x^2).
green band area = (x +14)^2 -(x^2) = x^2 +28x +196 -x^2
green band area = 28x +196 . . . . square inches
We know that g(x) = \frac{3}{x^2+2x}
We have to find g^-1(x) or inverse of g(x)
Inverse of g(x) can be determined by equating g(x) to y, and determining the value of x in terms of y
g(x) = y = \frac{3}{x^2+2x}
⇒ y × (x² + 2x) = 3
⇒ yx² + 2xy = 3
⇒ yx² + 2yx - 3 = 0
Determining the roots of x using:
x = 
OR x = 
, where a is coefficient of x², b is coefficient of x, and c is the constant
⇒ x = 
OR x = 
⇒ x = 
OR x = 
Hence, g^-1(x) = OR x =
Answer:
<h2><em>
n = 11</em></h2>
Step-by-step explanation:
n + 1 = 4(n - 8)
n + 1 = 4n - 32 [Multiply 4 times (n-8)]
1 = 3n - 32 [Subtract 1n from both sides]
33 = 3n [Add 32 to both sides]
3n = 33
<h2><u>
n = 11</u></h2>
CHECK:
Does n + 1 = 4(n - 8) when n = 11?
n + 1 = 4(n - 8)
11 + 1 = 4(11 - 8)
11 + 1 = 4(3)
12 = 12 YES
