Answer:
g(x)=log(x+4)
Step-by-step explanation:
Here the parent function is f(x)=log x. The function has y intercept as 0 at x=1 .
If we observe the translated function we will observe that , the y intercept of new function is 0 at x=-3. Hence the function is moving ahead of the parent function by 4 units and reaches the y intercept being 0.
If we graph
g(X)= log X
the y intercept will be at (1,0)
X = 1 , Y =0
at X=1 , x = -3 or x = X-4
or X=x+4
Hence
new function will be g(x)=log ( x+4)
When finding the slope between two points, we simply take (y2-y1) / (x2-x1)
For this, we can substitute the following to get this :
y2-y1 and x2-x1
1 - 4 and 7 - 1
-3 and 6
-3 / 6 gets you -1/2
Therefore the answer is :
The slope of the line is -1/2
Answer:
Step-by-step explanation:
First find the area of the circular base. The diameter is 6, so the radius is 3.
A circle is pi r square, so it is 3.14 x 3^2, = 28.26
Multiply that by the length 28.26 x 26 = 734.76, which rounds to 735 cubic feet.
Answer:
x = π - sin^(-1)(3/2) + 2 π n_1 for n_1 element Z
or x = 2 π n_2 + sin^(-1)(3/2) for n_2 element Z
Step-by-step explanation:
Solve for x:
sin(x) = 1.5
1.5 = 3/2:
sin(x) = 3/2
Take the inverse sine of both sides:
Answer: x = π - sin^(-1)(3/2) + 2 π n_1 for n_1 element Z
or x = 2 π n_2 + sin^(-1)(3/2) for n_2 element Z
