Answer:
Option B k > 0
Step-by-step explanation:
we know that
Observing the graph
The slope of the line is positive
The y-intercept is negative
we have
![3y-2x=k(5x-4)+6\\ \\3y=5kx-4k+6+2x\\ \\3y=[5k+2]x+(6-4k)\\ \\y=\frac{1}{3}[5k+2]x+(2-\frac{4}{3}k)](https://tex.z-dn.net/?f=3y-2x%3Dk%285x-4%29%2B6%5C%5C%20%5C%5C3y%3D5kx-4k%2B6%2B2x%5C%5C%20%5C%5C3y%3D%5B5k%2B2%5Dx%2B%286-4k%29%5C%5C%20%5C%5Cy%3D%5Cfrac%7B1%7D%7B3%7D%5B5k%2B2%5Dx%2B%282-%5Cfrac%7B4%7D%7B3%7Dk%29)
The slope of the line is equal to
![m=\frac{1}{3}[5k+2]](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B3%7D%5B5k%2B2%5D)
Remember that the slope must be positive
so
The value of k is greater than -2/5
Analyze the y-intercept
1.5 is greater than zero
so
the solution for k is the interval ------> (1.5,∞)
therefore
must be true
k > 0
Y/-2 + 5 = 13
y/-2 = 13 - 5 = 8
y = -2(8) = -16
y = -16
Answer:
n<2
Step-by-step explanation:
6.2n<2n+8.4
Move variable to the left hand side and change its sign
6.2n - 2n < 8.4
Combine like terms
4.2n < 8.4
divide both side by 4.2
n < 2
Answer:
likely is the awnser
Step-by-step explanation:
likely is the awnser
Answer:
{ x | 1, 2, 3, 4, 5, 6, 7, 8, 9 }
Step-by-step explanation:
We note that points between integer values have been excluded, so domain consists of integer x-values from 1 to 9, or
{ x | 1, 2, 3, 4, 5, 6, 7, 8, 9 }
and <em>not</em>
1 <= x <= 9
