Step 1. The General Equation of a straight line is
Y = Mx + C where
M is the slope and
C is that point on the y axis where the curve cuts that axis (where x = 0)
In this case we are told that M = (3/4)
Our equation is now Y = (3/4)X + C ••• Equ 1
We are told that this curve passes through Point ( x, y ) = ( 8, -1 ).
Substitute these values of x, and y into Equ 1 to find C.
Y = (3/4)X + C or
( -1 ) = ( 3/4 )*( 8 ) + C or
( -1 ) = ( 6 ) + C or
C = ( - 7 )
Therefore the Equation of the Point Slope curve is
Y = ( 3/4 )X - 7
: Hope this helps :)
The most important thing here is converting the length into the same units. So:
3 feet 9 inches = 45 inches
now, we know that compound 'growth' can be worked out by multiplying the initial value by the decimal to the power of the years. So, relating to this question, the equation would be:
5 x α⁴ = 45
Now, we have to solve for α!
α⁴ = 45/5
α⁴ = 9
α = ⁴√9
α = 1.732050808
This is the increase every year written as a decimal so, if we want to work out the pure percentage, we have to subtract 1 and then multiply by 100:
1.732050808 - 1 = 0.732050808
0.732050808 x 100 = 73.20508076
Rounded to 2 decimal places the answer would be 73.21% !
Answer:
Commutative.
Associative property works on symbols instead of signs!
Answer:
3 1/4 (mixed number)
Step-by-step explanation:
9(1/2) * 3(5/6)
= 9/2 * 15/6
= 15/4
= 3 1/4
6/x-3/x= 3/x
7-2=5
(5x+3)/x
