I might be wrong but:
x is less than negative three and x is greater than or equal to negative one.
Inequality is x<-3 and x ≥ -1
1. n^2 -8n +16 = 25
Subtract 25 from both sides
n^2 - 8n + 16 - 25 = 0
Simplify
n^2 - 8n - 9 =0
Factor
(n-9)(n+1) = 0
Solve for n
n-9 = 0, n = 9
n+1 = 0, n = -1
Solution: 9,-1
2. C = b^2/25
Multiply both sides by 25:
25c = b^2
Take square root of both sides
b = +/-√25c
Simplify:
b = 5√C, -5√C
3. d = 16t^2 +12t
subtract d from both side:
16t^2 + 12t -d =0
Use quadratic formula to solve:
t = (3 +/-√(9-4d))/8
4. 5w^2 +10w =40
Subtract 40 from both side:
5w^2 + 10w -40 = 0
Factor:
5(w-2)(w+4)=0
Divide both sides by 5:
(w-2)(w+4)=0
Solve for w:
w-2 = 0, w = 2
w+4=0, w = -4
Solution: 2,-4
Step-by-step explanation:
There can be a lot of math expressions that may equal 13. Here are some of the expressions that equal 13.
Now, let us consider some interesting expression
If the value of x = 2, then the expression will be equal to 13.
i.e.
∵ when x = 2
Considering a word problem
<em>'Tom has 10 oranges while Tony has 3 more oranges than Tom. How many oranges Tony has?</em>
Let 'x' be the number of oranges Tom has.
The number of oranges Tony has = x + 3
as Tom has 10 oranges, so x = 10
Therefore, the number of oranges Tony has = x + 3
= 10 + 3 = 13
Therefore, the number of oranges Tony has = 13
First of all, if you look at the question, you will notice that the two numbers involved are the same (that is; 4 and 4). However, there are two ways to solve this. But the easiest way is by using indices. In indices, whenever you are multiplying two numbers that are the same, the powers are added. And whenever you are dividing two numbers that are the same, the powers are subtracted. This is due to the fact that in indices, addition is related to multiplication and subtraction is related to division. An example is;
A⁵ × A³ = A⁽⁵⁺³⁾ =A⁸
A⁵ ÷ A³ = A⁽⁵⁻³⁾ =A²
Anyway, over to the question now;
4⁹÷4³
4⁽⁹⁻³⁾
4⁽⁶⁾
Therefore; 4×4×4×4×4×4=4096
So the answer is 4096. However, if you calculate 4⁹÷4³ on a calculator, you will still get 4096. Hope i helped. Have a nice day
