Hello :
answer 10x+5y = -25<span>
5y= -10x-25
y= -2x -5... (</span><span>negative slope is : -2)
</span><span> the y-intercept equals-5 because : if x=0 : y=-5</span>
Because it has a slope of 5, we can already set up part of the equation:
y = 5x
Now, we need to find the y-intercept.
We can do that by subtracting 1 from the x value of the provided coordinate pair, and subtracting 5 from 9.
1 - 1 = 0
9 - 5 = 4
The y-intercept is 4.
<h3><u>Our equation is y = 5x + 4</u></h3>
Answer:
Step-by-step explanation:
See attachment for complete question.
We start by solving for the equation of the graph (The graph shows a linear equation)
Represent pencils with x and pen with y
From the graph, we have that:
Solve for slope (m)
The equation is calculated using:
Where
Add 4 to both sides
Now, to the question.
When pencils is 15 implies that
Solving for x, we have:
i.e. Pen = 10
Ratio = x ; y
Convert to fraction
Simplify
Hence,
Alright, so first we should add up all of the teachers to get the gist of how many there are in each school.
I got 50 in both North MS and West MS.
F. Half of the teachers would be 25. music+cooking=25 teachers. Correct.
But now, we need to find percentages.
Convert the problem to an equation using the percentage formula: P% * X = Y.
30%x50= 15. Does 9+6 equal 15? Yes, F is Correct.
G. A quarter of 50 is 12.5. (There can't be decimals of teachers though.) At West MS 11 teachers enjoy reading and 14 enjoy outdoor recreation. 11 is less than 12.5 and 14 is more. Incorrect.
H. A majority means more than half in simple terms. Do more than half of the teachers at North MS enjoy rec and cooking? (6+19) It's tricky as there's 25 teachers. However, it is not greater than 25 so it is not a majority. Incorrect.
J. Less than half of 50 teachers at West MS enjoy rec and music. (14+15=29)
Incorrect.
Hope this helped! Khan Academy is a fantastic resource.
The two numbers it lies between are 4 and 5