(picture) factoring polynomials: gcf !

-50xy  and -40x^2

Step-by-step explanation:

LEts find GCF for the given expression

36x^3 ---> 2*3*2*3*x*x*x

-22x^2 -----> -1* 2 * 11 * x*x

-144x --------> -1* 2*2*3*2*2*3*x

GCf is 2 * x = 2x

2x is not GCf of -11

-50xy ----> -1 * 2*5*5*x*y

2x is GCF of -50xy

-40x^2 ---> -1*2*2*2*5*x*x

2x is GCF of -40x^2

2x is not GCF of 24 because there is no x term

2x is not GCF of 10y because there is no x  term

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

a) 0,0; 1,1; and 2,2

step-by-step explanation:

these have the exact same coordinates, thus they are the correct function.