Answer:
2x + y = 18
y = 4x - 12
x = 5, y = 8
Step-by-step explanation:
x = 1st number
y = 2nd number
We can use the substitution method as we know what 'y' equals; that value will get plugged in for 'y' in the first equation as follows:
2x + 4x - 12 = 18
6x - 12 = 18
6x = 30
x = 5
y = 4(5) - 12 which is 20-12 or 8
y = 8
Answer:
Shifted to the right by 9 units, and down by 7 units
Step-by-step explanation:
y=x is the origin.
(x-9) shows that the graph has moved 9 units to the right, as what is inside the parentheses indicates the opposite direction
(you can be able to review why this is from online resources or you can ask your teacher)
the -7 shows that the graph moves 7 units down the graph, it's outside the parentheses, so it follows the same direction
let's sum up:
for this situation,
- what is inside the parentheses is the x
- what is outside the parentheses is the y
- the x-values direction shifts opposite from the sign (+/-)
- the y-values direction shifts like the sign (+/-)
So,
the vertex has been shifted to the right by 9 units, and down by 7 units compared to y=x.
I assume this an algebraic expression..sooo the variable L will represent the number of books in the library, and five times the number of books in the library would be 5L
Hello, Shakiya214!
If a fish tank contains 16 goldfish and 24 guppies, then we can deduce that the total number of fish in the tank is: 16 + 24 = 40 fish.
If there are 16 goldfish in the tank, then of the 40 total fish, we have a probability of 16/40.
To illustrate this idea, suppose we had n fish in the tank (a guppies and b goldfish). The probability of selecting any fish is 100% (because there are only fish in the tank). If we had to select the goldfish, we could choose them like this:
p₁, p₂, p₃, p₄ ... pₐ
We could choose any one of these fish twice. This leaves us with: 16/40
Now, if they were NOT replaced, we could simply do it again. Except this time, we can only choose 15 out of the remaining 39 goldfish, leaving us with a probability of: (16/40)(15/39) = 240/1560 = 6/39 = 2/13
Depreciation is the decrease in value of a given asset within a given period of time.
Using the formula, A=P(1-r/100)^n, where A is the new value after depreciation, P is the original value, r is the depreciation rate and n is the time taken.
Therefore,
A = 24500(0.8525)^14
= 2623.54 dollars
≈ 2623.50 dollars
Thus the value after 14 years will be 2623.50 dollars
