Which statement best describes the equation (x + 5)2 + 4(x + 5) + 12 = 0?
the equation is quadratic in form because it can be rewritten as a quadratic equation with u substitution u = (x + 5).
the equation is quadratic in form because when it is expanded, it is a fourth-degree polynomial.
the equation is not quadratic in form because it cannot be solved by using the quadratic formula.
the equation is not quadratic in form because there is no real solution.

Option 1 is correct.

Step-by-step explanation:

Given the equation

we have to choose the best statement describes the above equation.

 →  (1)

As, the highest degree of its monomials i.e individual terms with non-zero coefficients is 2.

⇒ Degree of above equation is 2.

hence, the given equation is quadratic equation.

The general form of quadratic equation is

In variable u:  →  (2)

Now, compare equation (1) with (2), we say that

The equation is quadratic in form because it can be rewritten as a quadratic equation with u substitution u = (x + 5).

Option 1 is correct.

b. -7,185,024p6q5

step-by-step explanation:

find the 6th term of the expansion of (2p - 3q)11. a. -7,185,024p4q7 c. -7,185p4q7 b. -7,185,024p6q5 d. -7,185p6q5 select the best answer from the choices provided a b c d

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.