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2(6)+2(3)=18 does this equation have a minimum or maximum

Does this equation have a minimum or maximum

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No, it is a flat line with one solution, 18

Posted on May 09, 2014

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The ratio of men to women on a bus is 4:5 Nobody gets off the bus. 18 more women get on. The ratio of men to women is now 1:2 How many men are on the bus?


m = men
w = women

equation 1
m/w = 4/5
w(m/w) = w(4/5)
m = 4/5w
5(m) = 5(4/5w)
5m = 4w
w = 5/4m
equation 2
m/(w + 18) = 1/2
(w + 18)(m/w + 18) = (w + 18)(1/2)
m = w/2 + 9
2m = w + 18
w = 2m - 18

Substitute equation in equation 2
w = 5/4m
5/4m = 2m -18
4(5/4m) = 4(2m-18)
5m = 8m - 72 multiply by -1
3m = 72
m = 24
solve for w
w = 5/4m
w = 5(24)/4
w = 5 * 6
w = 30 m = 24

Jun 05, 2017 | The Computers & Internet

1 Answer

How i can solve quadratic equations which have no real roots


If the quadratic equation has no roots, you cannot find the roots. The discriminate is negative, so if we attempt to use the quadratic equation, we get no roots.

For example, y=x^2 +0x + 3

a=1, b=0, c=3

(-b+/- sqrt(b^2 -4ac))/2a

Substituting in the numbers, we get

x= (-0 +/-sqrt(0^2 - 4(1)3))/2
x= (0 +/- sqrt (-12))/2

We cannot do the square root of -12. Therefore, there are no roots. This is the same as having no x-intercepts. The discriminant is b^2-4ac. In this case it is -12. Thus, there are no real roots.

However, you can still determine the maximum or minimum, the vertex, the axis of symmetry, the y-intercept and the stretch/compression. With this information you can graph the equation.

In this case, the y-intercept is 3, the vertex is at (0,3), the axis of symmetry is x=0, the minimum value of the function is 3.

Good luck.

Let me know if you have any questions.

Paul

Nov 04, 2015 | Casio FX991ES Scientific Calculator

1 Answer

2008 Saturn Aura XE with p225/50r17 tire but tire info plate on B pillar is unreadable. Anyone know what pressure should be? Please don't tell me to read tire side - as most info plates have lower...


All tires have suggested manufacturer tire pressure displayed on tire sidewall along with other seemingly useless information. Tire may display both a minimum and maximum inflation. The 2007 Saturn Aura we have states the pressure to be 35 minimum, and 44 maximum, although ours uses the 18 inch tire. Check the sidewall to be correct.

Sep 22, 2013 | 2007 Saturn Aura XR Sedan

1 Answer

I'm trying to do inverse sine and cosine equations but I'm receiving a message that there is a domain error. Is there anything I can do or press like a reset button?


The inverse sine and cosine equations mean "angle who's sine/cosine is:" The bounds of the arguments for these functions must be between 1 and -1, the maximum and minimum values of the sine and cosine functions, because no angle can have a sine or cosine that is greater than 1 or smaller than -1. Also it should be noted that the inverse sine/cosine function is not the same as 1/sine or 1/cosine, although the symbol makes it look like that.

Mar 08, 2011 | Texas Instruments TI-84 Plus Calculator

1 Answer

I need to find decreasing and increasing intervals and I dont know how to do this on my TI 83


While your TI-83 plus cannot explicitly find increasing or decreasing intervals, it can find the minimum(s) and maximum(s) of a function.
Press the "Y=" button.
Enter the equation in "y=" format into the first open equation.
Press the "GRAPH" key.
If the maximum and minimum of the curve are not shown in the window it has, press ZOOM->0.
Press 2ND->CALC (under the "TRACE" key).
Press 3 if you are trying to find a min, 4 if you're trying to find a max.
It will ask for bounds. Enter a left and right bound by looking at the graph itself and choosing a left bound that is clearly to the left of the min/max, and a right bound clearly to the right of the min/max.
Then it will ask you to guess a value. You can skip this step by pressing ENTER instead of entering a value.
It will calculate the value. To find increasing/decreasing intervals, just know that every interval with a minimum as the left bound and a maximum as the right bound is increasing, and vice versa.

Feb 25, 2011 | Texas Instruments TI-83 Plus Calculator

1 Answer

What is the toe adjustment for a 1998 ford windstar 3.8L


Hello Snsimpson



Here are all the specs for the Windstar.


FRONT ALIGNMENT (CURB HEIGHT WITH 1/2 TANK OF FUEL)
Camber

Nominal -0.25°
Minimum -0.75°
Maximum +0.25°
Split 0.0°±0.5° Caster
Right

Nominal +3.80°
Minimum +3.05°
Maximum +4.55°
Split -0.5°±0.5° Left

Nominal +3.30°
Minimum +2.55°
Maximum +4.05°
Split -0.5°±0.5° Total Toe [1]

Nominal -0.10°
Minimum -0.40°
Maximum +0.20° Clear Vision [2]

Nominal -0.2°
Minimum -2.8°
Maximum 3.2° REAR ALIGNMENT (CURB HEIGHT WITH 1/2 TANK OF FUEL)
Camber

Nominal 0.0°
Minimum -0.3°
Maximum +0.3° Total Toe [1]

Nominal -0.06°
Minimum -0.40°
Maximum +0.28° [1] Positive value specifications for toe-in, negative value specification for toe is toe-out. [2] Negative value specification for clear vision is counterclockwise.

Nov 16, 2010 | 1998 Ford Windstar

1 Answer

Graphing Problems


In home folder (main calculator screen) press [Diamond][F2:Window]] to access Window configuration screen.
Press [F1] ( not mecessary now because the F1 page is open by default). In the F1 page of configuration screen set Xmin=-10,
Xmax=10
Ymin=-10
Ymax=10
Xscale=1.
Yscale=1.

OR
Press [Diamond][F2:Window][F2][6:ZoomStd] (Zoom Standard) to set all values as above.

If a graph is active (axes displayed, or part of a curve is showing) press [F2:Zoom][6:ZoomStd]

Feb 15, 2010 | Texas Instruments TI-89 Calculator

1 Answer

How do i input the equation f(x)= x^3 -3x+2 (-2,2). I need to graph and fine the local maximum and minimum


I am puzzled by the (-2,2) after the equation. I suspect it is the coordinates of some point. But I won't push the matter further, and I will just ignore that info. I am no mind reader.
  1. Turn calculator ON.
  2. If you do not see icons, press Menu.
  3. Use navigational arrows to highlight [GRAPH] and press [EXE]
  4. Type the function.
  5. Use the [X.T,theta] key below [ALPHA] to type the X variable or the [ALPHA][+]. In general you should use the [X,T,theta] because is context sensitive: If you draw parametric or polar graphs, pressing that key gives you the right variable (T, or theta)
  6. Use the caret [^] 3 to raise X to the third power and complete the function. and press [EXE]
  7. At the bottom of the screen you see some tabs.
  8. Press [F3:Type] and you will see all types of graphs you can draw. But since you want Y=, press [EXIT] to return to Y=editor
  9. Press the Function key to above which you see [DRAW]
  10. Adjust the Window dimensions if necessary
Finding the min and max
  • While the graph is still displayed press [SHIFT][F5:G-Solve].You see all the possible calculationsF1:root, F2:Max,F3:Min,F4:YiCPT (y_intercept),F5:Isct (intersection) F6:=> to show the others, among which is the F3:integral.
  • Press F3:min and hold your breath.
  • After a while you get your minimun. Be patient, even if the small square at the top right disappears.
  • Once you get the minimum, press [SHIFT][F5-G-Solve] and repeat for the maximum.

Feb 01, 2010 | Casio FX-9750GPlus Calculator

1 Answer

Do I need to change brake fluid, clutch fluid and power steering fluid in my 2000 Honda ex 2Dr. coupe? It has 97,000 miles on it.


Unless you have a record of these fluids being changed in the past 18 months you should definitely change them. These fluids will degrade over time and need to be changed at appropriate intervals.
You should also flush the engine radiator and cooling system and replace with new coolant to the manufacturer's specs unless this has been done in the past 18 months.
Also ensure you change the engine oil and filter frequently (certainly more frequently than the manufacturer maximum interval specs which is based on optimum driving conditions which does not reflect reality.)

Frequent fluid changes = cheap preventative maintenance.

Brake fluid - every 2 years minimum
Clutch fluid - every 2 1/2 years minimum
PS fluid - every 3 years
Coolant flush and change - every 2 years
Engine oil - every 3500-4000 miles or 5 months minimum whichever is sooner
Oil filter - every second oil change.

Cheers
Sean
Volunteer contributor.

Dec 10, 2009 | 2000 Honda Civic

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