Answer:
3
Step-by-step explanation:
You might just think that I subtracted but on the triangle the last side is the base which is always smaller.
Answer:a is the correct option
Step-by-step explanation:
The table is divided into columns for month, sales and expense
Total number of sales for four months is determined by adding up the sales for each month. It becomes
35.75+65.34+12.15+49.68= $162.92
Total number of sales for four months is determined by adding up the expenses for each month. It becomes
43.18+52.24+41.09+59.50=196.01
Profit or loss = total sales - total expenses
Therefore 162.92-196.01 = - $33.09
It's a loss because it is negative
Answer:
Not solutions.
Step-by-step explanation:
-5x+6y=-5
6y=-5+5x
6y=5x-5
y=5/6x-5/6
-5/6 is about -0.833
And the slope is 5/6.
So for every x there is 5/6y.
This means (1, 4) won't work cause it's too low.
Also 5/6*6=5. this is too low too.
So they aren't solutions.
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