6x – 4y = 9
4y = 6x - 9
y = 6/4 x - 9/4
y = 3/2 x - 9/4 this line has slope = 3/2
perpendicular line, slope is opposite and reciprocal so slope of this line = -2/3
answer:
A. y= - 2/3 x - 4 (only this line has slope = -2/3)
Answer:
Yes.
Step-by-step explanation:
To find the point of intersection we solve the system:
y = x + 3
y = -x + 7 Subtract:
0 = 2x - 4
2x = 4
x = 2.
She is correct.
Answer:
Answer is z= 43/36
Step-by-step explanation:
We have given,
2 13/18 - z = 1 19/36
Since 2 13/18 = 49/18 and 1 19/36 = 55/36
So we can write,
2 13/18 - z = 1 19/36
or 49/18 - z = 55/36
or 49/18 - 55/36 = z
or (98 -55)/36 = z
or 43/36 = z
Hence we got z = 43/36
Answer:
and 
Step-by-step explanation:
A simple way to solve this problem is to plug the corresponding x and y into the function. We need only one pair since all the functions are quasi-linear (y=kx) and the increase is proportional.
In
when x=3, y=15/4≈2.14
In
when x=3, y=1.8
In
when x=3, y≈2.33
In
when x=3, y≈1.90
We can observe that in two cases,
and
, y is greater than 2.
Answer:
P = 0.5Q - 20
Step-by-step explanation:
P = kQ + c
substitute Q = 60 , P = 10 into the equation
10 = 60k + c → (1)
substitute Q = 240, P = 100 into the equation
100 = 240k + c → (2)
subtract (1) from (2) term by term to eliminate c
90 = 180k ( divide both sides by 180 )
=
= 0.5 = k
substitute k = 0.5 into (1) and solve for c
10 = 60(0.5) + c
10 = 30 + c ( subtract 30 from both sides )
- 20 = c
then
P = 0.5Q - 20