Answer:
y = 4/3x - 6
Step-by-step explanation:
y = mx + b
if m = 4/3 and passes through (9,6) then
6 = 4/3(9) + b
6 = 12 + b
b = -6
then y = 4/3x - 6
Answer:
or ![[a,b,c]=[2,4,5]](https://tex.z-dn.net/?f=%5Ba%2Cb%2Cc%5D%3D%5B2%2C4%2C5%5D)
Step-by-step explanation:
Given



Required
Find a, b and c
Median is calculated as:




This means that the median is the average of the 13th and 14th item.

Since the median is
(average of 3 and 4),
and:


This implies that c begins at 14
So, the number of houses bedrooms 4 and 5 is:



Also
---- sum of total frequency


Substitute 



Since a, b and c are different, then
a and b cannot be 5 because 
a and b cannot be 3 because 
because b ends at 13
a
So, possible sets are:
![[a,b]=[2,4]](https://tex.z-dn.net/?f=%5Ba%2Cb%5D%3D%5B2%2C4%5D)
![[a,b]=[4,2]](https://tex.z-dn.net/?f=%5Ba%2Cb%5D%3D%5B4%2C2%5D)
Include c, we have:
or ![[a,b,c]=[2,4,5]](https://tex.z-dn.net/?f=%5Ba%2Cb%2Cc%5D%3D%5B2%2C4%2C5%5D)
Answer:
B
Step-by-step explanation:
+ 6 = x ( subtract 6 from both sides )
= x - 6 ( square both sides )
x = (x - 6)² ← expand using FOIL
x = x² - 12x + 36 ( subtract x from both sides )
0 = x² - 13x + 36 , that is
x² - 13x + 36 = 0 ← in standard form
(x - 4)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 9 = 0 ⇒ x = 9
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = 4
left side =
+ 6 = 2 + 6 = 8
right side = x = 4
Since 8 ≠ 4 then x = 4 is an extraneous solution
x = 9
left side =
+ 6 = 3 + 6 = 9
right side = x = 9
Thus the solution is x = 9 → B
Answer:
(5 x + 1) - (-10 x + 6)
5x +1 + 10x - 6
25x - 5
Step-by-step explanation:
(x - 2) - (6x - 9)
x - 2 - 6x + 9 =
-5x +7
(5 x + 1) - (-10 x + 6)
5x +1 + 10x - 6
25x - 5
-4 x + 2 x + 7 - 3 x
-5x + 7
(4 x + 3) + (-9 x + 4)
4x +3 -9x + 4
-5x + 7