11/50 for club, as normally 13 clubs. 2 gone. normally 52 in pack. 2 gone.
13/50 for a diamond. still 13 diamonds, but only 50 cards.
3/50. one out of four jack's are taken out. leaving 3. 50 cards in deck.
2&4 same?
Answer:
(1, 4) and (1,3), because they have the same x-value
Step-by-step explanation:
For a relation to be regarded as a function, there should be no two y-values assigned to an x-value. However, two different x-values can have the same y-values.
In the relation given in the equation, the ordered pairs (1,4) and (1,3), prevent the relation from being a function because, two y-values were assigned to the same x-value. x = 1, is having y = 4, and 3 respectively.
Therefore, the relation is not a function anymore if both ordered pairs are included.
<em>The ordered pairs which make the relation not to be a function are: "(1, 4) and (1,3), because they have the same x-value".</em>
Let x be number of T-Shirts made.
Therefore,
Revenues from the sell = 12*x = 12x
The cost making them = 20+(8*x) = 20+8x
Profits = 12x-(20+8x) = 12x -20-8x = 4x - 20
Now, this profit should be atleast $100. Then,
100<4x-20 => 100+20<4x => 120<4x => 120/4<x => x>30
Therefore, more than 30 T-shirts should be made in order to make atlease $100 profit.
Answer:
$320
Step-by-step explanation:
To find the original price, divide 240 by 0.75
240/0.75
= 320
So, the original price is $320
To determine the inverse of a function, we first write the parent function in terms of y. So, in this part the x would be isolated to one side of the equation. Then, with the new form of the parent function, we switch the x into y and y to x. The new function would be the inverse function. For the given function, we do as follows:
<span> y=-4/x + 1
y - 1 = -4/x
x ( y - 1 ) = -4
x = -4 / (y -1)
Replacing x into y and y into x,
</span>y = -4 / (x -1)
<span>Therefore, the inverse is y=-a/x-b where a = 4 and b = 1.</span>