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timofeeve [1]
3 years ago
8

A software company is releasing one of their products on a CD. The manufacturer charges a $9700 setup fee and $1.25 per CD. Appr

oximately how many CDs must be produced so that the total cost per CD is $3.50?
Mathematics
1 answer:
Gre4nikov [31]3 years ago
3 0

Answer:

  about 4312

Step-by-step explanation:

You want the total cost for n CDs to be 3.50n.

The manufacturer will charge you 9700+1.25n, so you want these to be equal:

  3.50n = 9700 +1.25n

  2.25n = 9700 . . . . . . . . subtract 1.25n

  n = 9700/2.25 ≈ 4311.111...

Producing 4312 CDs will make the cost per CD slightly less than $3.50.

____

Producing 4311 CDs will make the cost per CD be about $3.500058. Producing 4312 CDs will bring it down to $3.499536.

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Explain the steps necessary to convert a quadratic function in standard form to vertex form
SIZIF [17.4K]

Answer:

See below.

Step-by-step explanation:

Here's an example to illustrate the method:

f(x) = 3x^2 - 6x + 10

First divide the first 2 terms by the coefficient of x^2 , which is 3:

= 3(x^2 - 2x) + 10

Now  divide the -2 ( in -2x) by 2 and write the x^2 - 2x in the form

(x - b/2)^2 - b/2)^2  (where b = 2) , which will be equal to x^2 - 2x in a different form.

= 3[ (x - 1)^2 - 1^2 ] + 10 (Note: we have to subtract the 1^2 because (x - 1)^2 = x^2 - 2x  + 1^2  and we have to make it equal to x^2 - 2x)

= 3 [(x - 1)^2 -1 ] + 10

= 3(x - 1)^2 - 3 + 10

= <u>3(x - 1)^2 + 7 </u><------- Vertex form.

In general form the vertex form of:

ax^2 + bx + c  = a [(x - b/2a)^2 - (b/2a)^2] + c .

This is not easy to commit to memory so I suggest the best way to do these conversions is to remember the general method.

3 0
3 years ago
Read 2 more answers
A uniform bar of length l and weight w is attached to a wall with a hinge that exerts a horizontal force hx and a vertical force
maria [59]
The answer is Hx = ½ Wsin θ cos θ
The explanation for this is:
Analyzing the torques on the bar, with the hinge at the axis of rotation, the formula would be: ∑T = LT – (L/2 sin θ) W = 0
So, T = 1/2 W sin θ. Analyzing the force on the bar, we have: ∑fx = Hx – T cos θ = 0Then put T into the equation, we get:∑T = LT – (L/2 sin θ) W = 0
4 0
4 years ago
If g(x) = {(4, -5), (-3, 2), (-6, 1), (1,0)}, which set of ordered pairs represents
Ket [755]

Answer:

The inverse of g(x) is {(-5, 4), (2, -3), (1, -6), (0, 1)} ⇒ (A)

Step-by-step explanation:

To find the inverse of a function switch x and y

<u>Example:</u>

If f(x) = {(1, 2), (-4, 5), (0, 0)}

To find its inverse switch x and y in each ordered pair

The inverse of f(x) = {(2, 1), (5, -4), (0, 0)}

<em>Let us do the same with our question</em>

∵ g(x) = {(4, -5), (-3, 2), (-6, 1), (1, 0)}

→ Switch x and y coordinates in all ordered pair

∴ The inverse of g(x) = {(-5, 4), (2, -3), (1, -6), (0, 1)}

<em>Look at the answer to find the correct choice</em>

It is (A)

6 0
3 years ago
Darren runs 1/4 a mile in 2.5 mins. how long will it take him to run a full mile?
rusak2 [61]

it is simple, you multiply 2.5 by 4

2.5*4=10


6 0
3 years ago
Solve for x: 5x - 18 = -8​
denpristay [2]

Answer:

x = 2

Step-by-step explanation:

5x - 18 = -8

    +18   +18

5x  =  10

5x/5  =  10/5

x = 2

5 0
2 years ago
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