Answer:
Solution : (15, - 11)
Step-by-step explanation:
We want to solve this problem using a matrix, so it would be wise to apply Gaussian elimination. Doing so we can start by writing out the matrix of the coefficients, and the solutions ( - 5 and - 2 ) --- ( 1 )
Now let's begin by canceling the leading coefficient in each row, reaching row echelon form, as we desire --- ( 2 )
Row Echelon Form :
Step # 1 : Swap the first and second matrix rows,
Step # 2 : Cancel leading coefficient in row 2 through 
,
Now we can continue canceling the leading coefficient in each row, and finally reach the following matrix.
As you can see our solution is x = 15, y = - 11 or (15, - 11).
Given
Rob is twice Joshua's age
Nick is 5 years older than Joshua.
sum of all their ages is 45.
Find the age of nick.
To proof
As given
Rob is twice Joshua's age
let Joshua's age = x
than Rob age = 2x
Nick is 5 years older than Joshua.
Nick age = 5 + x
sum of all their ages is 45
than the equation becomes
Joshua's age + Rob age + Nick age = 45
put the value
x + 2x + 5 + x = 45
4x = 40
x = 10
Joshua's age = 10 year
than Rob age = 20 year
Nick age = 5 + 10
= 15year
Hence proved
The function is stretched vertically by a factor of 3.
The function shifts 2 to the right.
The function is moved 5 units up.
Explanation:
The parent function of the graph is 
The transformation for the parent function is given by 
Thus, the transformed function is in the form of 
where a is the vertical compression/stretch,
h moves graph to left or right and
k moves the graph up or down.
Thus, from the transformed function , we have,
The attached graph below shows the transformation of the graph that the graph is stretched vertically by a factor of 3 and shifted 2 units to the right and moved 5 units up.
Hence, The function is stretched vertically by a factor of 3.
The function shifts 2 to the right.
The function is moved 5 units up.
230000÷3.5%=6571%
6571%*15=9857%(be after 15 years)
Shampoo: 2, 4, 6, 8, 10, 12, 14 16, 18 , 20, 22, 24
nail polish: 4, 8, 12, 16, 20,. 24
combs: 8, 16, 24
hair dryers, 12, 24
find the least common multiple of the weeks given, 2, 4, 8, 12
the number is 24 so every 24 weeks
