Answer:
N=+24,-24
Step-by-step explanation:
Well this is a quadratic equation and we can make further deductions using it's discriminant
b²-4ac=0
N²-4(1×144)=0
N²-576=0
N²=576
N=√576
N=+24,-24
Answer:
1, 3, 5, 7, 9
Step-by-step explanation:

n = 1:

n = 2:

n = 3:

n = 4:

n = 5:

Answer: 1, 3, 5, 7, 9
The answer is 114.5%.
Let the original population be denoted by x.
Now, let's go through the percentage increase per year.
<u>Year 1</u>
<u>Year 2</u>
- 1.2x (1 + 25%)
- 1.2x (1.25)
- 1.5x
<u>Year 3</u>
- 1.5x (1 + 30%)
- 1.5x (1.3)
- 1.95x
<u>Year 4</u>
- 1.95x (1 + 10%)
- 1.95x (1.1)
- 2.145x
Overall increase : 214.5% - 100% = 114.5%
Hence, the overall percentage increase in these 4 years is 114.5%.
Answer:
(a) The data set is a function, since for each input value {3,4,6,11} there is a single output value {5,7,11,21}
(B) A function is a mathematical relationship that associates one or more inputs with a single output value. So that the data set is not a function, there should be - for one or more values of the input - more than one output.
for example, if for the input value {3} there were two outputs {5, -5} then, the data set would not be a function.
The frelation
is not a function because:
When x = 1, y = +1 and y = -1.
(c) The set of data provided can be represented by the equation of a line of the form y = mx + b
The slope is:


m = 2

b = 5 - 2*3
b = -1
Then, the function is:
y = 2x-1
You can substitute any of the points shown in the equation and check that equality is satisfied, for example:
(11 , 21)
y = 2 (11) -1
y = 22-1
y = 21. The equation is satisfied. The same goes for the rest of the values.
G(x)=1
-3x2+18x+2
-6+18+2
6+2
8