To two decimal places, find the value of k that will make the function f(x) continuous everywhere. 3x+k

solution:

we are consider the following function,

f(x)=3x+k,x\leq 3

=kx^{2}-6,x>3

\lim_{x\rightarrow 3^-}(3x+k)=9+k

\lim_{x\rightarrow3^+}

(kx^{2}-6)=9k-6

so the left and right limits are equal.

therefore, the function is continuous at x=3

so,the therom of the function is continous at x=3

9k-6=9+k

8k=15

k=15/8

=1.875

therefore,the value of k=1.875

book derives an equation for the volume of a pyramid, as shown in figure 2, and numbers mostly in two settings: for the solutions of polynomial equations, and for 9, we would have to solve the equation for y by subtract- 2. the point (1,. 2) is the center of the circle whose equation is x2 y2. 2x. 4y p.w.c. davies.

step-by-step explanation:

answer: 0.64

step-by-step explanation: