Please number your responses to the questions as they are shown (1 and 2). Tanya is given the graphs of the following functions. The functions f(x) and g(x) are linear, and the function s(x) is quadratic.
f(x) = 31 - 8
g(x) = -2x + 5
s(x) = 4x^2 - 9x + 2
Tanya is then asked to find the graph of (f. g)(x) and the graph of (g. s)(x). For each combined function, she is given four options to choose from.
1. What clues will help Tanya identify the correct graph of (f. g)(x)
2. What clues will help Tanya identify the correct graph of (g. s)(x)

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation: