Answer:
512
Step-by-step explanation:
The sequence is doing the number times 2, so 4 times 2 equals 8,
8 x 2 = 16, ect
If you do this enough, you will get 512 as the 8th term.
Answer:
![\sqrt[4]{x^5}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E5%7D)
Step-by-step explanation:
A fraction exponent converts into a radical. The denominator is the index of the radical (farthest left number) and the numerator is the exponent of the base inside (the farthest right number). The base of the fraction exponent is the base number in green. To write this expression, simply the exponents into one exponent and one base.
Now convert to the radical.
![x^{\frac{5}{4}} = \sqrt[4]{x^5}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B5%7D%7B4%7D%7D%20%3D%20%5Csqrt%5B4%5D%7Bx%5E5%7D)
Answer:
15b
Step-by-step explanation:
3x5
Answer:
f(x) = ( 1/3) ^ (x)
Step-by-step explanation:
The function is
f(x) = (1/3) ^ (x)
When x = 1 f(x) = 1/3
when x=2 f(x) = 1/9
When x = -1 f(x) = ( 1/3) ^ -1 = 3/1 =3
Answer:
The x-intercept of CD is -19/5
Step-by-step explanation:
If the coordinates of the first point is (-3, 2) and the coordinates of the point B are (7, 6) then we need first to find the equation of the line CD:
We know that the general equation of the line is:
y-y0 = m(x-x0) where (x0, y0) represents a point that belongs to the line and m, is the slope which can be calculated by using the following formula:
m = (x1 - x0) / (y1 - y0)
In this case:
(x1, y1) = (7, 6)
(x0, y0) = (-3, 2)
Then:
m = (7 - (-3))/(6-2) = 10/4 = 5/2.
Then, the equation of the line is:
y-y0 = m(x-x0)
y - 2 = 5/2 (x -(-3))
y = 5/2(x+3) + 2
To find the x intercept we make y=0.
Then y = 5/2(x+3) + 2 = 0
Then:
x = -4/5 - 3 = -19/5
