This would be an exponential decay model.
Problem 1
Do you know what a complex number is? If you do not, you can get an answer but not one you will like much.
(3x)^2 + 27 = 0 remove the brackets. Remember to square what's inside the brackets.
9x^2 + 27 = 0 Divide both terms by 9
9x^2/9 + 27/9 = 0
x^2 + 3 = 0 Subtract 3 from both sides.
x^2 = -3 Take the square root from both sides.
x = sqrt(-3) but the square root of - 3 = 3i
x = i*sqrt(3)
Problem 2
x^ - 8x + 1 = 0
a = 1
b = - 8
c = 1
x = [- -8 +/- sqrt(b^2 - 4*a*c) ]/(2*a) Quadratic formula
x = [ 8 +/- sqrt( (-8)^2 - 4(1*1)]/2 Substitute Givens and combine
x = [ 8 +/- sqrt( 64 - 4 )] /2 Subtract 4
x = [ 8 +/- sqrt (60)]/2 Break 60 into 4 * 15
x = [ 8 +/- sqrt (4*15)]/2 Notice 4 is a perfect square. sqrt4 = 2
x = [ 8 +/- 2*sqrt(15)] / 2 Divide through by 2
x = 8/2 +/- sqrt (15)
x = 4 +/- sqrt(15) the twos were gone
Answer:
Hence correct chcie is C.

Step-by-step explanation:
Given function is 
Now it says that function is shifted 4 units to the left and 4 units up.
We need to find about which of the given choice is correct for the given transformation.
When f(x) is shifted "h" units left then we write f(x+h)
So
will change to

When f(x) is shifted "h" units up then we write f(x)+h
So
will change to

X= (-7,12)
Y= (7,-9)
The distance between the x points is 14 units
we want a ratio of 3 to 4
for every 3 on one side there are 4 on the other for 7 total
6 to 8 = 14
so 6 on one side 8 on the other
so 6 units on the left starting at -7
-7 + 6 = -1
same with y
12 to -9 is 21 units
3 to 4 = 7
6 to 8 =14
9 to 12 = 21
so 9 unit from the top
12-9 = 3
(-1,3)
Choice A
Answer:
1. -1
2. 5
3. 14
4. 26
Step-by-step explanation: