Answer:
k = 8
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 32 when x = 4, then
32 = 4k ( divide both sides by 4 )
8 = k
Swap x and y, f^-1 is and solve for y to get f^-1 the inverse of f. f(f^-1)=f^-1(f)=x is the identity as a check
f(2)=3*2+1=7 (2,7)
f^-1(7)=2 (7,2)
Answer:
the answer is c
Step-by-step explanation:
as it shows on the graph every hour the earrings increase by 6$
Answer:
There are four addition properties that help to add whole numbers :
For any whole number a, b, and c ;
1. <u>Closure property of addition </u>- 
For example:
2+3=5
4+3=7
We can conclude that if we add any two whole number , we get another whole number.
2. <u>Associative property of addition</u>- when any whole number or variable are added, then that can be grouped in different way without changing result

For example:
2+(3+4)=(2+3)+4
3.<u> </u><u>Commutative property of addition</u>- when any whole number or variable are added, then the order changed without changing the result.

For example: 2+3=3+2
4. <u>Identity property of addition</u>- when 0 is added to a whole number or variable , the result is the same variable or number.

For example: 3+0=0+3
0 is called an Identity for addition of whole numbers.
Answer:
PQ = 46
Step-by-step explanation:
The midsegment ST is half the length of the third side PQ , that is
ST =
PQ , so
5x - 22 =
(3x + 19) ← multiply both sides by 2 to clear the fraction
10x - 44 = 3x + 19 ( subtract 3x from both sides )
7x - 44 = 19 ( add 44 to both sides )
7x = 63 ( divide both sides by 7 )
x = 9
Then
PQ = 3x + 19 = 3(9) + 19 = 27 + 19 = 46