The expression that can be used to approximate the expression below is
- Given the logarithmic function expressed as
, we need the log expression that is equivalent to the given expression.
- To do this, we will write the logarithm as a quotient to the same base. Using the base of 10, the expression can be written as;
This is similar to the option c where the base of "b" was used as
Learn more on law of logarithms here: brainly.com/question/11587706
Answer:
First blank: 10
Second blank: 1
Step-by-step explanation:
For both i used an online converter:
Please check attachments
Here's the info for f(x): We are going to find the slope of the line and then write the equation for the line using one of the given points. The coordinate points we are given are (0, 0) and (2, 4). Using the slope formula:
gives us a slope equation of:
and the slope is 2. Using the point (0, 0) to write the equation of the line for f(x) looks like this in the slope-intercept form of the equation:
where m is the sloppe of 2 that we found and
and
are the coordinates of one of the points. It doesn't matter which one you choose; you will get the same answer whether you use (0, 0) or (2, 4): y-0=2(x-0) Distributing that 2 into the parenthesis and simplifying gives you the equation of y = 2x, or in our function notation, f(x) = 2x. Since f(x) is the first part of g(x), so far for g(x) we have that g(x) = 2x + k. Now we will do the same thing for g(x) that we did for f(x) as far as writing its equation down; we don't need to find the slope cuz the slope of g(x) is the function f(x). The equation for g(x), using the point (0, 2) (again, you could have used either point; I just picked (0, 2) cuz the other one has a decimal in it!): y - 2 = 2(x - 0). Distributing that 2 into the parenthesis gives you this: y - 2 = 2x - 0; y = 2x + 2. So 2 is your k value!
------------------------------------------------------
Formula
------------------------------------------------------
Circumference = πD
------------------------------------------------------
Find Diameter
------------------------------------------------------
10π = πD
D = 10 ← divide by π on both sides
------------------------------------------------------
Find Radius
------------------------------------------------------
Radius = Diameter ÷ 2
Radius = 10 ÷ 2
Radius = 5
------------------------------------------------------
Answer: Radius = 5 units
------------------------------------------------------
The goal of all algebra equations is to isolate the variable. In 3 step you should first make sure both variables are on the same side. To do that make sure you use the inverse.
For example:
6a + 9 = 3a + 15
because 3a is positive you're going to want to subtract it.
6a + 6 = 3a + 15
-3a -3a
_______________
3a + 6 = 15
Now it's a 2 step equation and you solve it on from there.
