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Question 1103544: A mix of ingredients fills at a rate of 15 gallons/min. It drains at a rate of 35 gallons/minute. The ingredients start filling at 12:00, at 12:06 the drain is open. Write an equation showing the time it takes to fill or empty after the drain is open?
I know that it will empty before it fills, because it is draining faster than it is filling. I know that 15 x time will tell me that at 12:06 it will have 90 gallons. And that it will add 15 but take away 35. Just having trouble writing the equation.
Click here to see answer by greenestamps(13200)  |
Question 1103575: Write the slope-intercept equation of the function f whose graph satisfies the given conditions. The graph of f is perpendicular to the line whose equation is 3x-5y-10=0 and has the same y-intercept as this line.
Click here to see answer by Boreal(15235)  |
Question 1103650: I teach Algebra 2. We are solving systems of inequalities by graphing. I was intrigued to notice that there appeared to be a "hole" in the answer key graph where one inequality (inclusive) intersected with another inequality (not inclusive) - e.g. where an equation with "less than or equal to" intersected with one that was "less than." I had never noticed "holes" in graphing solutions of inequalities before. This brought up the question: is the point of intersection of the two linear graphs - one dashed and the other solid - included in the solution or not? When we solve the system, I understand that we are looking for the "intersection" rather than the "union" of the system. That suggests that any solution point must satisfy all constraints at once. The point of intersection of the two lines would satisfy only one of the two inequalities, since one of the lines is not inclusive. So, should we teach students to insert a "hole" at that point of intersection?
Click here to see answer by ikleyn(52780)  |
Question 1103588: On the trip you and your friends stop for gas and decide to get drinks ($1.05-tax included) and snacks ($2.20-tax included) if they spend a maximum of $25.00 and wish to purshase at least 10 items:
Write a system of inequalities that shows the range of drinks and snacks you can buy with $25.00
Click here to see answer by josmiceli(19441)  |
Question 1104037: I must fill out this table of values:
y=5x I figured out this one
(-1,15)
(0,1)
(1,5)
(2,25)
(3,125)
y=-3(5x)
y=-3(5^(x+4))+2
However I don't understand how to complete y=-3(5x) and y=-3(5^(x+4))+2
How do I complete these two equations y=-3(5x) and y=-3(5^(x+4))+2 ?
Then using the points from equation y=-3(5^(x+4))+2 I must plot the points to create a graph, how do I create a graph based on this equation?
Thank you!
Click here to see answer by josgarithmetic(39617) |
Question 1105317: PLEASE Help Check my work. Thank you!
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
y -4 =5/2 (x + 3) ; (-3, 4).
A) y + 4 = -2/5 ( x - 3)
B) y -3 = -2/5 (x + 4)
C) y - 4 = -2/5 ( x +3)
D) y + 4= -2/5 ( x - 3)<<
Click here to see answer by Alan3354(69443)  |
Question 1105317: PLEASE Help Check my work. Thank you!
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
y -4 =5/2 (x + 3) ; (-3, 4).
A) y + 4 = -2/5 ( x - 3)
B) y -3 = -2/5 (x + 4)
C) y - 4 = -2/5 ( x +3)
D) y + 4= -2/5 ( x - 3)<<
Click here to see answer by josgarithmetic(39617) |
Question 1105519: Which of the following equations describes the line shown below? Check all that apply. (-4, 10) (-7, -5)
A. y - 5 = 5(x - 7)
B. y + 5 = 5(x + 7)
C. y + 10 = (x - 4)
D. y - 10 = 5(x + 4)
E. y - 10 = (x + 4)
F. y + 10 = 5(x - 4)
Click here to see answer by Fombitz(32388)  |
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