Answer: If you plot a point in the y-axis at -6, you can plot two more points by using the slope "rise over run" Then draw a line connecting the points.
The coordinate of the y intercept is (0.-6) To find the first x values of the first 2 coordinates, add 1 then 2 to 0. To find the y values, add 2 then 4 to the -6
Step-by-step explanation:
From -6 go up 2 over 1 and plot at (1, -4 ) then up 2 over 1 again to (2, -2)
The x- intercept will be at (3,0)
Answer:
The price of fertilizer is $27.5 and potting soil is $5
Step-by-step explanation:
I think that you are asking for the price of each bag of fertilizer and potting soil. And here is my answer:
Given the system of linear:
3s + 4f = 125 <=> f = 31.25 -3/4s (1)
4s + 2f = 75 <=> f = 37.5 -2s (2)
Take (1) -(2) we have:
f -f = 31.25 -3/4s - (37.5 -2s)
<=> 0 = -6.25 + 1.25s
<=> 1.25s = 6.25
<=> s = 5
=> f = 37.5 -2(5) = 27.5
So the price of fertilizer is $27.5 and potting soil is $5
By the segment addition postulate,
AB = AC+CB
since C is somewhere between A and B
We know AC is 0.618 and AB = 1
CB = x for now
AB = AC+CB
1 = 0.618+x
1-0.618 = 0.618+x-0.618 ... subtract 0.618 from both sides
0.382 = x
x = 0.382
So CB is 0.382 units long
To find the ratio of AC to CB, divide the values
AC/CB = 0.618/0.382 = 1.618 (approximate to 3 decimal places)
Answer: Choice B) 1.618
Simplify the expression first by the "flip and multiply" method. We end up first with:
[x(x-3)]/[x⁻¹(x+4)]
Simplifying further we have:
[x²(x-3)]/(x+4)
Solving for restriction we equate the denominator to 0:
x + 4 = 0
x = -4
x≠4 (-4 is a restriction of the expression)
