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:
I'm pretty sure that the answer is 1.76?
Step-by-step explanation:
The formula is this tho:
V=πr^2h
12 yards
if each yard costs 3 dollars
then 12 x 3 = 36 dollars
she can buy a maximum of 12 yards
The result of adding the answer together is 1
Hey there! :)
First, find the area of the circle. 2 halves make 1 circle
Formula for area of a circle = π · r²
Remember that the diameter is 2x the radius. To find radius when given diameter, divide by 2 to get r
d = 8
8 ÷ 2 = 4
r = 4
4² = 4 × 4 = 16
16 × 3.14 = 50.24
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<em>Now, find the area of the rectangle</em>
Area of rectangle = l × w
l = 22
w = 8
22 × 8 = 176
<em>Now, add</em>
176 + 50.24 = 226.24
The area is 226.24 ft²
Hope this helps :)