For what value of the constant c is the function f continuous on (−[infinity], [infinity])?f(x) = leftbrace2.gif cx2 + 9x if x < 4
x3 − cx if x ≥ 4
Note that f is continuous on (−[infinity], 6) and (6, [infinity]). For the function to be continuous on (−[infinity], [infinity]), we need to ensure that as x approaches 6, the left and right limits match.
First we find the left limit.
lim x→4−f(x) = lim x→4− (cx2 + 9x) =
Next, we find the right limit. lim x→4+f(x) = lim x→4+ (x3 − cx) =

the answer is 2/54

step-by-step explanation:

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.

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.

the opening of this porabola is facing up

step-by-step explanation: