Step-by-step explanation:
1) A number <em>m</em> is at least four
<em>m ≥ 4 ['at least' = ≥ symbol]</em>
<em />
2) 4x ≤ 20x; x=2
4(2) ≤ 20(2)
8 ≤ 40
[Im not sure if this is a solution or and inequality :/ ]
3) x < 5
--> On the line, draw the number 0, and the number five. 'x < 5' also means 'x is less that five.' So, draw a dot over the line before 5, and make an arrow going to the left of the page,
<-----------------------------------o 5
<---|---|---|---|---|---|---|---|---|---|---|---|---|---|--->
0
Hopefully this helps! :)
Answer:

Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form:
where <em>m</em> is the slope and <em>b</em> is the y-intercept.
Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)
<u>Determine the slope (</u><em><u>m</u></em><u>):</u>

Rearrange into slope-intercept form:

Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of
. Plug this into
:

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

Plug in the given point (1,3) and solve for <em>b</em>:

Therefore, the y-intercept is
. Plug this back into
:

I hope this helps!
Answer: 11.8 km
Step-by-step explanation:
The resulting figure is a right angled triangle shown below

C(s) = 175s + 4500 or y = 175x + 4500
cost of 12 tons of sugar...
C(12) = 175(12) + 4500
C(12) = 2100 + 4500
C(12) = 6600....so 12 tons of sugar will cost u $ 6600
Y = - 4x^2 - 3x + 3 This thing is complex with fractions. I have to work it out.
y = -4(x^2 + 3/4 x) + 3
y = -4(x^2 + 3/4 x + (3/8)^2 ) + 3
y = -4(x + 3/8)^2 +3 + 4*(9/64)
y = -4(x + 3/8)^2 + 3 + 9/16
y = -4(x + 3/8)^2 + 3 9/16 Equation in Vertex form. <<<<< answer
y = -4(x + 0.385) + 3.5625 Equation in Vertex form. <<<< answer
One is in decimal form. One in fraction form.
the vertex (-3/8, 3 9/16) or alternately
the vertex (-0.375,3.5625)
You might want the graph to confirm my answer.