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5.15

Sorry to be rude, but can someone, please answer?

I know I made a mistake not showing you the first time, but I wanted to see if anyone else got my answer. I had 2 different answers, so I reposted this with my answer to see if it made more sense. Again, it was my fault for not posting the data I got the first time.

A grocery clerk stacks rows of fruit cans for a display. The number of cans left to stack is 156-8r where r is the number of rows she has stacked. What does each part of the expression represent?

156 would be how many cans there were to start with.

Every time you display a row it takes 8 cans so                              

the number of rows you have already stacked is r 

The number of cans already stacked is 8r

The number of cans left to stack is   156-8r

Draw a pic of the stacking cans if you are still confused.     Put 8 cans in each row!

You can do the second one yourself.  :)

Why does -2.5 - 0.5 equal - 3, but 2.5 - 0.5 equal 2?

Good question, it is important that you understand this :)

I am showing you on a number line.

When you are subtracting one numbers from another, you always start at the first number,  

and then move left towards the negative end of the numberline how ever many units you want to subtract.

So 

For      -2.5 - 0.5   start at -2.5 then go in the negative direction (left) 0.5 units and you will come to -3

For     2.5 - 0.5  start at 2.5 then go in the negative direction (left) 0.5 units and you will come to +2

3x^2+bx+12=0       b?  The equation must have two same solutions

The discriminant must = 0  if this is true

So   b^2 - 4(3)(12)  = 0

b^2  = 144

b = ±12      [ -2 and 2 will be solutions.....each with a multiplicity of 2 ]

x^2+bx-24=0           b?  The solution must be -3

We must have this

(-3)^2 + b(-3) - 24  = 0

9 - 3b - 24  = 0

-15 - 3b  = 0

-15 = 3b

b = -5     [ 8 will also be a solution ]

x^2-mx+8=0            m? The solution must be 4

(4)^2 - m(4) + 8  = 0

16 - 4m + 8  = 0

24 - 4m  = 0

24  = 4m

6 = m      [ 2 will also be a solution ]

Write an equation with solutions -2 and -17

P(x)  = (x + 2) (x + `17)  =   x^2 + 19x + 34

Write an equation with solutions -11 and 9, and the coefficient of x^2 must be -4

We have  

P(x)  =  -4 (x + 11) (x - 9)  =  -4 [x^2 + 2x - 99]  = -4x^2 - 8x + 396

If f(x)  = 0    then

42  - 6x  = 0       add 6x to both sides

42  = 6x           divide both sides by 6

7  = x

LMFAO! Ginger Ale, you truly are remarkable! You post some interesting and impressive math, and you know how to turn a phrase in humor to bite or compliment, or just to entertain. Frequently, it’s all three at the same time. You make a great banana daiquiri too.

How did you know it was The Puppet Master? There are not many posts by him for you to use as a comparison. I didn’t know who you meant by TPM until I saw that he signed on and claimed his copyright. I’d bet this was unintentional. The puppets pulled his strings this time. hahahaha!

Your Funeral March For a Marionette reference is brilliant and so is your valediction, “...don’t let wagging heads, jointless gestures, and long monologues wear you out.”

I’ll be laughing for days! 

(ƒ+g)(x), ƒ(x) = x+3, g(x) = x - 3

(ƒ+g)(x)  = f(x) + g(x)   =  (x + 3) + (x - 3)  =   2x

2x^2 -3x - 20  =  0   

This factors as

(2x + 5) (x - 4)  = 0

Setting both factors to 0 and solving for x gives the zeroes x = 5/2  and x  = 4

Since ABC  is a right angle, then DBC is supplemental.....so it's = 90°as well

Snd EA is parallel to DC......and since transversal EC  cuts these, then angle DCE and angle CEA form equal alternate interior angles

Thus by angle - angle congruency......triangle CBD  is similar to triangle EBA

Thus BC / BD  =  BE / BA

So  BC * BA  =  BE * BD    or, put another way

AB * BC  =  EB * BD

Here's a pic :

1000 more than 298,370 is equal to 298,370+1000 which is equal to 299370

a) Substitue each term with a variable and put it in the system of equations.

\(\begin{array}{r@{~}c@{~}l l} a+b+c &=& 2, & (\textrm{i}') \\ \frac{ab}3+\frac{bc}3+\frac{ac}3 &=& -41, & (\textrm{ii}') \\ -\frac{abc}{90}&=&6. & (\textrm{iii}') \end{array} \)

After we get rid of the denominators we get

\(\begin{array}{r@{~}c@{~}l l} a+b+c &=& 2, & (\textrm{i}{'}{'}) \\ ab+bc+ac &=& -123, & (\textrm{ii}{'}{'}) \\ abc&=&-540. & (\textrm{iii}{'}{'}) \end{array}\)

Then use we simply use Vieta's formulas to get:

t^3 - 2t^2 - 123t + 540 = 0

And this has been answered here: https://web2.0calc.com/questions/help_46851

Please don't ask the same question without checking if it had an answer the first time you asked it!

If you didn't understand the first answer, say so as a continuation of the same thread rather than starting a new one (and try to explain just what you didn't understand).  

This has been answered here: https://web2.0calc.com/questions/1-madison-is-making-a-vinaigrette-for-her-catering-service-using

Like so:  \(\frac{1}{\sqrt{x^7}}\rightarrow \frac{1}{x^{7/2}} \rightarrow x^{-7/2}\)

.

Solve for x 4x=28
 

4/4x=28/4

x=7

Thanks!!! CPhill

x should be something like x^(1/4) for example, it has to be positive cause its one of my math tasks that i just cant understand :D

sorry for bad english

x > 0? 

Because the denominator should not be 0, or else there wouldn't be any real solutions.

Correct me if I'm wrong.

(My brain is a bit fuzzy these days. I haven't answered a math question for a while...)

6y - 3(8x + 5)  =

6y - 24x - 15 

2(7 - 3m) + 4m  =

14 - 6m + 4m =

14 -  2m

6.75  *  3600 seconds in  one hour  = 24300 cm^3   per hour

cm^3  in one gallon  = 3785.41

So

24000 / 3785.41  ≈  6.34 gallons in one hour

We can use a proportion to solve this

Height of Stick                              =               Height of Tree

___________________                                ___________________

Length of Tree Shadow                                  Length of Tree Shadow

33                             =                        Height of Tree

__                                                       ___________

1.2                                                        14.16 

Multiply both sides by 14.16

33 (14.16) / 1.2  =   Height of Tree  = 389.4 ft   

22−22​(a+22) = 7+a       simplify the left side

22 - 22a - 484 = 7 + a

-22a - 462 = 7 + a        add 22a to both sides, subtract 7 from both sides

-469  = 23a                divide both sides by 23

-469 / 23  = a

Here]s the steps to create this [ I probably can't explain it  better !!] 

http://www.purplemath.com/modules/boxwhisk.htm

Here's the plot :