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)
9514 1404 393
Answer:
y = -(x -7)² +6
Step-by-step explanation:
Replacing x with (x-h) translates the graph h units to the right. You want h=7.
Replacing f(x) with f(x)+k translates the graph k units upward. You want k=6.
These transformations make the new equation be ...
y = -(x -7)² +6
The answer is (1,11). You can solve for x first and plugged it in to find y.
You will do -1.42 + 3.8 because two negative is positive.
So the answer is C. 2.38
Answer:
Each bracelet has 12 small charms and 5 large charms
Each order also gets<em> </em>5 blank spacer charms to use to separate charms or fill in the bracelet.
(a) 17x + 5 = y
17 charms are needed for each bracelet plus 5 blank spacer charms that come with each order.
(b) the order she is filling needs 158 charms. How many bracelets were purchased in this order?
17x + 5 = 158
Let's solve your equation
17x+5=158
Subtract 5 from both sides.
17x+5−5=158−5
17x=153
Divide both sides by 17.
17x / 17 = 153 / 17
x=9
9 bracelets were purchased in this order.
(c) Toby says they don’t have enough charms to fill an order that needs 264 charms. Sarah says it’s not possible for an order to need 264 charms.
17x + 5 = y
17x + 5 = 264
Subtract 5 from both sides.
17x + 5 -5 = 264-5
17x = 259
Divide both sides by 17.
17x / 17 = 259 / 17
x = 15.235
Sarah is wrong because 264 charms can make about 15 bracelets.
Step-by-step explanation:
I hope this helps
Have a nice day!!
