Answer:
P' = (4, 4)
Step-by-step explanation:
T(x, y) is a function of x and y. Put the x- and y-values of point P into the translation formula and do the arithmetic.
P' = T(8, -3) = (8 -4, -3 +7) = (4, 4)
_____
<em>Comment on notation</em>
The notation can be a little confusing, as the same form is used to mean different things. Here, P(8, -3) means <em>point P</em> has coordinates x=8, y=-3. The same form is used to define the translation function:
T(x, y) = (x -4, y+7)
In this case, T(x, y) is not point T, but is <em>a function named T</em> (for "translation function") that takes arguments x and y and gives a coordinate pair as a result.
In this question, you have given the table length (7. 1/2 feet) and the table maximal area (46 7/8 square feet). The question is about whether Julia buys a table greater than 6ft wide, in other words, we need to determine the table maximum width. The equation from this problem can be written as:
Table max area = 46 7/8 ft
Table length= 7 1/2 ft
Using area formula, the calculation for maximal width would be:
length * max width = max area
7 1/2 ft * max width = 46 7/8 ft
max width = 46.875/ 7.5 = 6.25ft
The answer to this question would be yes, she can buy a table with more than 6 ft width. But it should not more than 6.25ft width
Given:
0.1% of all transactions are fraudulent
99% correct identification whether a transaction is fraudulent or not.
Scanned 5,000,000 transactions.
5,000,000 x 0.1% = 5,000 fraudulent transactions.
For me, there are 5,000 fraudulent transactions. This is based on the 0.1% rather than the 99%. Because the problem clearly states that the 0.1% of ALL transaction is identified as fraudulent. The 99% of the computer program only deals with the correct identification of the transaction as either fraudulent or not. For me, it is not a clear measure of the true number of fraudulent transactions.
When solving for a variable in an equation, get it separated from the others onto one side typically the left hand side and rest onto the opposite side usually the right hand side.
V = x / t
First, let us get the 't' variable out of denominator position and then it will be easier to work with.
V * t = (x / t) * t
Why did I multiply each side by 't' and not just the "x / t" expression? That is because every operation we do on one side, we must also do on the opposite side.
Okay, now we get the following equation.
V * t = x
We removed the 't' variable from denominator and in fact, it doesn't even exist anymore on the right hand side!
To complete this question, all we have to do is divide each side by 'V' and we are done!
(V * t) / V = x / V
Comes out to:
t = x / V
And there is your answer! Hope this helps with your adventure in learning Algebra!
Answer:
y + 4 = -2(x - 3)
Step-by-step explanation:
Use the point-slope formula y - k = m(x - h). Substitute -2 for k and 3 for h, as well as -2 for m:
y + 4 = -2(x - 3).
