When a number is increased by 21%, the result is 102. what is the original number to the nearest tenth?

84.30

Step-by-step explanation:

Let the number = x

x + 21/100 x = 102             Combine the left hand side.

x + 0.21x = 102                  Add the left

x(1 + 0.21) = 102                 Combine

1.21x = 102                         Divide by 1.21

1.21x/1.21=102/1.21

x = 84.2795     To the nearest 1/10

x = 84.30

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)