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4x-3=2x+7

2x = 10

x = 5

I hope this helped. :))

=^._.^=

h(x) is a function with a width of 16 then we multiply that by 2 to get rid of the denominator so the answer should be 32?

Is this what your example had? 1, 2, 2, 3, 3, 3. If that is the case, then all you do is to "permute" this combination into its permutations: Since you have 6 numbers, then the number of permutations=

6! / [3!2!1!] =720 /[6*2*1] =720 /12 ==60 permutations

2 wallets and 4 caps cost \(67.90\ $\ and\ 5\ wallets\ and\ 9\ caps\ cost \) 160.25 $. what is the cost of 1 cap?

Hello Guest!

\(2w+4c=67.90$\ |\ \times 5\\ \underline{5w+9c=160.25$}\ |\ \times -2\)

\(\ 10w\ +\ 20c=\ 339.50$\\ \underline{-10w-18c=-320.50$}\)  |  add

                   \(2c=19$\)

                     \(c=9.50$\)

The cost of 1 cap is 9.50$.

  !

10 * 13  ft² /  (60 ft²/gal)  = 2.167 gallons

Amy will require 2.16 gallons of paint to paint her wall but will have to buy 3 gallons because the store only sells whole gallons of paint.

 6 trac x 12 days   / 15 trac = 72/15 days = 4.8 days

Duplicate post.  Answered at https://web2.0calc.com/questions/help-asap_30634  

   ( 6 (3.25) + 2p)  - 32.8 = 0    solve for p

      19.5 +2p = 32.8

        2p = 13.3        and continue......

2w + 4c = 67.90         Multiply this equation by - 2.5  (we are trying to get the 'w' to cancel out)

5w + 9c = 160.25

-5w -10c = -169.75     Now add the bottom two equations

       - c = -9.50         

           c = = $ 9.50

Right idea (almost!) but you have the wrong signs 

\(u=\frac{-5+i\sqrt{59}}{6}\\v = \frac{-5-i\sqrt{59}}{6}\)

My teacher graded it as incorrect, so I'm not sure why. She wants corrections.

I assume, from this comment, that you know what the answer is ?

If that's the case, why are you asking the question ?

Well we cannot divide by 0 so

\(x\ne0\)

\(1+\frac{1}{x}\ne0\\ \frac{1}{x}\ne-1\\ x\ne-1 \)

\(1+\frac{1}{1+\frac{1}{x}}\ne0\\ \frac{1}{1+\frac{1}{x}}\ne-1\\ \frac{x}{x+1}\ne-1\\ x\ne -x-1\\ 2x\ne-1\\ x\ne -\frac{1}{2}\)

Integrating factor of equation (x^2+1)dy/dx+2xy=x^2-1 is

So then if I did like f(x)=y0+x1y1+...x32y32 then I use x=1=-1 and add and I get f(1)+f(-1)=2(y0+y2+y4) and since I've already found a, b, and c, i can put that in a normal quadratic polynomial and I have my answer?

I'm sorry, but that's incorrect

From what I understood from the question:

There are 2 numbers. Let's take the smaller number as x and the larger number y.

x+5 =y

The Question also tells us:

3x + 2y = 50

Now, we can substitute the value of y.

3x + 2(x+5) = 50

3x+ 2x + 10 = 50

5x + 10 = 50

5x = 40

x = 8

If x is 8, then y is:

x+5 = y

8+5 = 13

So x is 8 and y is 13.

Hope that helps!!! :)

🙃🙃👌

He or She said its a heptagon and has 7 sides.

If your example

\(\displaystyle -7x^{3}+4x^{2}+10x-5=h(x)\quad \text{say,} \\ \text{then} \\ h(1)+h(-1) \\=(-7+4+10-5)+(7+4-10-5)=2-4=-2=2(-1).\)

Even powered terms double up, odd powered terms cancel.

4 hotdogs + 1 sodas = 14.5

3 hotdogs + 2 sodas = 14

We have our two equations now.

8h + 2s = 29

3h + 2s = 14

Now we can cancel out the sodas and subtract the two equations

This means that:

5h = 15

That would mean that 1 hotdog is $3.

That would mean that 1 soda cost $2.5.

Hope that helps!!! :)

🙃🙃👌

Amy is painting one wall in her dining room.  The wall is 10 feet by 13 feet.  A gallon of paint covers 60 square feet. The hardware store only sells paint by the gallon, meaning that partial gallons cannot be purchased. Given this, how many gallons of paint will Amy need to purchase? Justify your answer with one complete sentence. 

Hello Guest!

\(10\ feet\times 13\ feet:x =60\ square\ feet:1\\ 60x=130\\ x=2.1\overline 6 \)

Ami has to buy 3 gallons because:

\(2\ Gallons<10\ feet\times 13\ feet\times\frac{1\ Gallon}{60\ square\ feet}<3\ Gallons\)

120 square  feet                  130 square feet              180 square feet 

  !

Area of red stripes = 145

Area of blue stripes = 116

(12y + 1 +18y + 6) /2 = 16y + 1           y = 5 / 2

12x - 4 + 7x + 13 = 180                x = 9

Can you do any of it?

Can you work our the equation of either of those two lines?