Write the expression below in simplest form. 3x^2 + 8x -1+2(x^2 +5x+3) (work shown please!)

5x^2+18x+5

Step-by-step explanation:

5x² + 18x + 5

Step-by-step explanation:

Given

3x² + 8x - 1 + 2(x² + 5x + 3) ← distribute parenthesis

= 3x² + 8x - 1 + 2x² + 10x + 6 ← collect like terms

= 5x² + 18x + 5

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.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: