The following function is continuous at all points in the domain of real numbers. What is the value of n? f(x)= 2x+2, if x > n
4x, if x n
A. -1
B. 0
C. 1/2
D.1

Step-by-step explanation:

To solve this problem, we just need to find the common point of these linear function, beacuse they form a piecewise function which is continuous according to the problem, that means they are related by one common point.

Let's solve the following expression , where and . So,

Which means , that is, if the n is greater than 1, then the function is defined by , if the n is least or equal than 1, then the functioni is defined by

Therefore, the right answer is D.

whatever you can spend with $11.53 or under.

step-by-step explanation:

20 - 8.47 = 11.53. take away the money he used for lunch from the starting amount of 20.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it