A
It is a first degree polynomial (aka linear because its highest power is 1) and it has two terms (2x and 8)
It does not have eight terms and is not a monomial (one term ie 3x^2)

8 0

4 years ago

If g is the inverse of the function f(x) = sqrt(x - 6) - 10 , which of the following is g?

iren2701 [21]

Answer:

g(x) = x² + 20x + 106

Step-by-step explanation:

Given:

$f(x) =\sqrt{x-6}-10$

If g(x) is the inverse of f(x), find it.

Swap x with g(x) and f(x) with x:

$x =\sqrt{g(x)-6}-10$

Solve for g(x):

$x + 10 = \sqrt{g(x)-6}$
$(x+10)^2=g(x)-6$
$g(x) = x^2+20x + 100+6$
$g(x) = x^2+20x + 106$

3 0

3 years ago

The length of a rectangular field is 7 m less than 4 times the width. The perimeter is 136 m. Find the width and the length

Helga [31]

Answer:

Step-by-step explanation:

Represent the width by W. Then, "The length of a rectangular field is 7 m less than 4 times the width" expressed symbolically is

L = 4W - 7 (dimensions in meters)

Recall that the perimeter formula in this case is P = 2L + 2W, and recognize that the perimeter value is 136 m. After substituting 4W - 7 for L, we get:

136 m = 2(4W - 7) + 2W, or

136 = 8W - 14 + 2W, or

150 = 10W These three equations are equivalent mathematical statements.

150 = 10W reduces to W = 15 (meters).

Part A: the independent variable is W, the width of the field.

Part B: The mathematical statement is 136 m = 2(4W - 7) + 2W, which after algebraic manipulation becomes 150 = 10W.

Part C: The above equation can be solved for W: W = 15 meters. This is the value of the independent variable.

6 0

3 years ago