Given the domain {-4, 0, 5}, what is the range for the relation 12x + 6y = 24?A.{12, 4, -6}B.{-4, 4, 14}C.{2, 4, 9}D.{-12, -4, 6
Leokris [45]
Answer:
{12, 4, -6}
Step-by-step explanation:
The relation is given by the equation as 12x + 6y = 24 ........... (1)
Now, the domain of this function is {-4, 0, 5}
We have to find the range of this function corresponding to the given domain.
Now, for x = - 4,
12(-4) + 6y = 24 {From equation (1)}
⇒ 6y = 72
⇒ y = 12
Now, for x = 0,
12(0) + 6y = 24 {From equation (1)}
⇒ 6y = 24
⇒ y = 4
Now, for x = 5,
12(5) + 6y = 24 {From equation (1)}
⇒ 6y = -36
⇒ y = -6
Hence, the range for the relation is {12, 4, -6} (Answer)
Answer:
The interest is
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
This can be done with a dilation followed by a rotation.
When you plot the points and compare the coordinates, you can see that the coordinates of E, the image of A, are cut in half, the x- and y-values are swapped, and the y-value is negated. A dilation will cut it in half, and a rotation will swap the coordinates and negate them.
3a+b+a+b = (3a+a) + (b+b) = 4a + 2b
Answer:
0.125
Step-by-step explanation:
Do the long division and you'll find the answer.