Answer:
Step-by-step explanation:
Since log is defined by all positive real numbers
therefore domain is all positive real number that is ( 0,∞)
Range is given by real numbers
inverse of the given function is (10^x)/7
Whose domain is all real numbers and range is all positive real number
And since we know that domain of function and range of its inverse
& range of a function and domain of its inverse is same
which we are getting in the problem
so answer is justified
Two equations for two perpendicular lines that have the same y-intercept and do not pass through the same origin are; y = x + 1 and y = -x + 1
<h3>What is the equation of the two lines?</h3>
The general formula for the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, when we talk about two perpendicular lines, it means that their slopes are negative reciprocals of each other.
Secondly, we are told that they both do not pass through the origin. Thus, it means that the y-intercept cannot be zero.
Therefore, two possible equations here can be;
y = x + 1 and y = -x + 1
Read more about Equation of lines at; brainly.com/question/13763238
#SPJ1
Given the geometric progression below
The nth term of a geometric progression is given below
From the geometric progression, we can deduce the following
To find the value of r, we will take ratios of two consecutive terms
To find the 9th term of the geometric, we will have that;
Hence, the 9th term of the geometric progression is 1953125
We can look at this graph y=cosx+5 as a translated graph. This is the same as the standard graph y=cosx being shifted 5 units upward.
The function y=cosx has the minimum y value of -1, meaning the smallest number the graph can have on the y axis is -1. Adding 5 to -1, we have 4.
Therefore, the minimum y value of y=cosx+5 is y=4.
Can you send the shaded region?
