The equivalent expression is (g - f) (3) = 23
<em><u>Solution:</u></em>
Given that,
![f(x) = 4 - x^2\\\\g(x) = 6x](https://tex.z-dn.net/?f=f%28x%29%20%3D%204%20-%20x%5E2%5C%5C%5C%5Cg%28x%29%20%3D%206x)
To find: (g - f)(3)
We know that,
(g - f)(x) = g(x) - f(x)
Substituting values we have:
![(g - f) (x) = (6x) - (4 - x ^ 2)](https://tex.z-dn.net/?f=%28g%20-%20f%29%20%28x%29%20%3D%20%286x%29%20-%20%284%20-%20x%20%5E%202%29)
Rewriting we get,
![(g - f) (x) = x ^ 2 + 6x - 4](https://tex.z-dn.net/?f=%28g%20-%20f%29%20%28x%29%20%3D%20x%20%5E%202%20%2B%206x%20-%204)
Now let us evaluate for x = 3
Substitute x = 3 in above equation
![(g - f) (3) = 3^ 2 + 6(3) - 4\\\\(g - f) (3) = 9 + 18 - 4\\\\(g - f) (3) = 23](https://tex.z-dn.net/?f=%28g%20-%20f%29%20%283%29%20%3D%203%5E%202%20%2B%206%283%29%20-%204%5C%5C%5C%5C%28g%20-%20f%29%20%283%29%20%3D%209%20%2B%2018%20-%204%5C%5C%5C%5C%28g%20-%20f%29%20%283%29%20%3D%2023)
Therefore the equivalent expression is (g - f) (3) = 23
Answer:
B
Step-by-step explanation:
Experimental probability is the ratio of the number of times an event occurs to the total number of trials or times the activity is performed.
A number cube is rolled 10 times, so
<u>Number of trials or times the activity is performed</u> = 10.
An even number comes up 6 times, so
<u>Number of times an event occurs</u> = 6.
Hence, the experimental probability is
![P=\dfrac{6}{10}=\dfrac{3}{5}.](https://tex.z-dn.net/?f=P%3D%5Cdfrac%7B6%7D%7B10%7D%3D%5Cdfrac%7B3%7D%7B5%7D.)
Hi There !
Coordiantes: (5, 4) (-5, 2)
Solution:
2 - 4 = -2
-5 - 5 = -10
-2/-10 = 1/5
Answer: 1/5 (C)
Hope This Helps :)
★·.·´Elite Answers`·.·★
Answer:
x+4
It's too short. Write at least 20 characters to explain it well.
Simple interest formula
A=P(1+rt)
Where,
A=Accrued amount, P= Amount borrowed, r=Interest rate per year, t= time in years.
Interest accrued = A-p = P(1+rt)- P = P{(1+rt)-1} = 8,000 {(1+0.03*4)-1} = $960