Answer:
f(-4) = ⅑
Step-by-step explanation:
Given
f(x) = 9(3)^x
Required.
Find f(-4)
f(x) = 9(3)^x
Substitute -4 for x
f(-4) = 9(3)^(-4)
Apply laws of indices
f(-4) = 9 * 1/(3⁴)
f(-4) = 9 * (⅓)⁴
f(-4) = 9 * 1/81
f(-4) = 9/81
Simplify
f(-4) = ⅑
![x^ \frac{m}{n}= \sqrt[n]{x^m}](https://tex.z-dn.net/?f=x%5E%20%5Cfrac%7Bm%7D%7Bn%7D%3D%20%5Csqrt%5Bn%5D%7Bx%5Em%7D%20%20)
pemdas, so exponent first before multiply
4(x^1/2)=4x^2
this is different from
(4x)^1/2
so
![x^ \frac{1}{2}= \sqrt[2]{x^1}](https://tex.z-dn.net/?f=x%5E%20%5Cfrac%7B1%7D%7B2%7D%3D%20%5Csqrt%5B2%5D%7Bx%5E1%7D%20%20)
times that by 4
4√x
Answer:
number of scores between 490 and 610 is = 0.68 x 300 = 204
Step-by-step explanation:
The concept of Probability distribution is applied as it relates to the Z-scores.
Z = X - Mean /Standard deviation
The detailed steps and appropriate substitution is as shown in the attached file.
Answer:
1=137 2=43 3=137 4=43 5=137 6=43
Step-by-step explanation: