Step-by-step explanation:
Count the number of times you have to move the decimal point to the right until it is to the right of the 1st nonzero number.
a) You have to move the decimal point 11 times until it gets to the right of the 1st nonzero number, which is 7. You then rewrite this number as
The exponent of 10 is a negative number because you moved the decimal point to the right.
b) Similarly, you have to move the point 9 times to the right so the answer is
The inverse of this function is y =
You can find the inverse of any function by switching the x and y values. Once you've done that, you can solve for the new y. The result will be the inverse of the function. The work for this one is below.
y = ----> Switch the x and y
x = -----> Add 9 to both sides
x + 9 = ----> Take the natural log (ln) of both sides. This will case the e to cancel on the right side.
ln(x + 9) = 2y ----> Divide both sides by 2.
y =
This will be your inverse function.
Answer:
f(-3) = 2
f(-1) = 2
f(8) = 1
Step-by-step explanation:
Yep! For any function f(x), you find the y value corresponding the x value. For example, in this question, it asks us to find f(-3). Therefore, you go to the line, x = -3, and see where it intersect the function (the y value). Your answer would be the y value.
The value corresponding to f(-3) seems to be 2.
The value corresponding to f(-1) seems to be -2.
The value corresponding to f(8) seems to be 1.
To calculate slope, you can put the "rise" (the y-value) over the "run" (the x-value). In this case, we can see that would be 6/2, which reduces to 3/1, or more simply written, 3.
Therefore, the correct answer here would be 3.
Answer:
C
Step-by-step explanation:
Its the only answer where the y intercept is 16.
We know its 16 because the line crosses the y axis at 16