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WITCHER [35]
3 years ago
7

an online media service offers video and music downloads. Each download of a song costs $1.2. Each download of a video costs 4 t

imes as much as the song download. You have a credit of $80. How many songs can you purchase after buying 10 videos?
Mathematics
2 answers:
IceJOKER [234]3 years ago
8 0
She can buy 26 songs after purchasing 10 videos
mafiozo [28]3 years ago
7 0
She can purchase 26 songs. To find you answer you would multiply $1.2 times 4 to get the cost for the music videos. You would get 48 then you subtract 48 from 80. Then you would divide the answer you got which would be 32 by 1.2 to find how many songs you can purchase. Your final answer would be 26.
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Find the exact location of all the relative and absolute extrema of the function. HINT [See Examples 1 and 2.] (Order your answe
icang [17]

Answer:

  • (-1, -32) absolute minimum
  • (0, 0) relative maximum
  • (2, -32) absolute minimum
  • (+∞, +∞) absolute maximum (or "no absolute maximum")

Step-by-step explanation:

There will be extremes at the ends of the domain interval, and at turning points where the first derivative is zero.

The derivative is ...

  h'(t) = 24t^2 -48t = 24t(t -2)

This has zeros at t=0 and t=2, so that is where extremes will be located.

We can determine relative and absolute extrema by evaluating the function at the interval ends and at the turning points.

  h(-1) = 8(-1)²(-1-3) = -32

  h(0) = 8(0)(0-3) = 0

  h(2) = 8(2²)(2 -3) = -32

  h(∞) = 8(∞)³ = ∞

The absolute minimum is -32, found at t=-1 and at t=2. The absolute maximum is ∞, found at t→∞. The relative maximum is 0, found at t=0.

The extrema are ...

  • (-1, -32) absolute minimum
  • (0, 0) relative maximum
  • (2, -32) absolute minimum
  • (+∞, +∞) absolute maximum

_____

Normally, we would not list (∞, ∞) as being an absolute maximum, because it is not a specific value at a specific point. Rather, we might say there is no absolute maximum.

5 0
3 years ago
Solve for "W"<br><br> -1 &gt; 2W + 7
jeka57 [31]

-1>2W+7

-8>2w

w = -8/2 = -4

w>-4

8 0
3 years ago
Read 2 more answers
Find the inverse of the function f(x)=5x-6/x+2
Naily [24]

Answer:

  f^{-1}(x)=\dfrac{2x+6}{5-x}

Step-by-step explanation:

Swap x and y, then solve for y.

x=\dfrac{5y-6}{y+2}\\\\x(y+2)=5y-6\\\\xy+2x=5y-6\\\\2x+6=5y-xy\\\\y=\dfrac{2x+6}{5-x}\\\\f^{-1}(x)=\dfrac{2x+6}{5-x}

3 0
3 years ago
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A function that is continuous over a finite closed interval necessarily have both a maximum and a minimum value over that interv
aleksklad [387]
False... f(x) = 5 does not have min/max
7 0
2 years ago
Write a linear equation representing the information shown in the table.
Law Incorporation [45]

Answer:

A

Step-by-step explanation:

This is how I write

y=kx+m

but I have seen some write it like this:

y=mx+b

Well both of them are the same thing, I'll use the first one because I'm more comfortable with it.

y=kx+m

To find out what k

k =  \frac{y2 - y1}{x2 - x1}

So you first need to choose two points.

I'll go for (0,-5) and (2,0)

k =  \frac{0 - 5}{2 - 0}

k = \frac{ - 5}{2}

Now you could insert k into the equation and it will look like this.

y =  \frac{ - 5}{2}x + m

To find out what m is just pick one point and insert it into the equation. So if I pick (0,-5). 0=X therefore it should be replaced by x and -5=y therefore it should also be replaced by y.

- 5 =  \frac{ - 5}{2} \times 0 + m

m=-5

Try it with another point to see if you get the same answer. this time I'll pick (-6,10)

10=  \frac{ - 5}{2} \times( - 6)+ m

m= -5

The equation will be y=-5/2x-5)

8 0
2 years ago
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