Answer:
D.
Step-by-step explanation:
Since we're using exponential decay, the answer would have to be less than 1.00, already eliminating A, B, and C. 1.00 - .12 = .88, which proves that D is our answer. Hope this helped! If you could, please mark brainliest if it's right.
D) 13^(3/5)
This is assuming that the question is asking the √13^3. With the five as the yroot.
Answer:
Option 1, 2, 5 are the correct answer.
Explanation:
We have the quadratic equation, 
First derivative of the equation is given by 2x - 6 = 0
So x = 3
At x = 3 the value of quadratic equation is extreme, corresponding y is given by 
, So extreme value is at (3,-7)
Second derivative of the quadratic equation is given by 2 ( positive value)
Second derivative is positive so graph of equation has a minimum value.
Now root of the equation is given by
or
Option 1, 2, 5 are the correct answer.
Answer: given and explained briefly below.
In these questions, we go right to left of the function to solve.
(a)
given that
f(x) = x - 3
g(x) = x + 3
(i) fg(x)
= f(x + 3)
= ( x +3 ) -3
= x
(ii) gf(x)
= g(x-3)
= (x-3)+3
= x
to find inverse, we have to make x the subject,
1)
f(x) = x - 3
f(x) + 3 =x
f^-1(x) = x + 3
2)
g(x) = x + 3
g(x) -3 = x
g^-1(x) = x -3
- f and g are inverses of each other
(b)
given that
f(x) = -1/4x
g(x) = 1/4x
fg(x) =
f(1/4x)
1/4(-1/4x)
= x
2)
gf(x)
g(-1/4x)
-1/4(1/4x)
= -x
<u>to find inverse, we have to make x the subject,</u>
1)
f(x) = -1/4x
-1/f(x) = 4x
f^-1(x) = -1/4x
2)
g(x) = 1/4x
x = 1/4g(x)
g^-1(x) = 1/4x
- f and g are not inverses of each other here.
Answer:
76454
Step-by-step explanation:
Sequence : 14,56,224, ..14(4^(n-1)
where n=term number.
First term: 14*(4^(1-1)) = 14*(4^0) = 14
Second term: 14*(4^(2-1))=14*4 = 56
Third term: 14*(4^(3-1))=14*16 = 224
...
7th term: 14*(4^(7-1)) = 14*(4^6)
Sum of the first 7 terms
= 14*(4^0+4^1+4^2+4^3+4^4+4^5+4^6)
= 14(4^7-1)/(4-1)
= 14(4^7-1)/3
= 76454
