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Helen [10]
1 year ago
10

The cost C (in dollars) of producing x DVD players is represented by C = 4.5x2. How many DVD players are produced if the cost is

$544.50 (I recommend looking at the problem through the picture. Question number 13 last question in photo provided)

Mathematics
1 answer:
lisabon 2012 [21]1 year ago
3 0

Given the following equation representing the cost of producing DVD Players:

\text{ C = 4.5x}^2

Let's determine the number of DVD players produced if the cost is $544.50

\text{ C = 4.5x}^2\text{ \$544.50 = 4.5x}^2\text{ }\frac{\text{\$544.50}}{\text{ 4.5}}\text{ = }\frac{\text{4.5x}^2}{\text{ 4.5}}\text{ 121 = x}^2\text{ }\sqrt{\text{121}}\text{ = }\sqrt{\text{x}^2}\text{ 11 = x}

Therefore, it'll cost $544.50 to produce 11 DVD Players.

The answer is 11.

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Five cereal bars are shared equally by 2 students. How many does each student receive?
nata0808 [166]

Answer:

They each get 12.5

5 0
3 years ago
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Which is an ordered pair on the line 2.5,14 2.25,12 1.25,5 1.5,9
Savatey [412]
I would think that all but one point would be on the line.  One way to approach this problem is to find the equation of the line based upon any two points chosen at random, and then determine whether or not the other points satisfy this equation.  Next time, would you please enclose the coordinates of each point inside parentheses:  (2.5,14), (2.25,12), and so on, to avoid confusion.
                                                               14-12
slope of line thru 1st 2 points is   m = ----------------  =  2/0.25 = 8
                                                              2.50-2.25

What is the eqn of the line:     y = mx + b becomes

                                               14 = (8)(2.5) + b; find b:

14-20 = b = -6.  Then,   y = 8x - 6.

Now determine whether (12,1.25) lies on this line.  

Is 1.25 = 8(12) - 6?  Is 1.25 = 90?  No.  So, unless I've made arithmetic mistakes, (1.25, 5) does not lie on the line thru (2.5,14) and (2.25,12).

Why not work this problem out yourself using my approach as a guide? 



5 0
3 years ago
Ameera had $10.50 with her. She bought some pencils costing $2.50 each and some erasers costing $1.00 each. Could she buy 4 penc
Andrei [34K]

Answer:

Step-by-step explanation:

7 0
3 years ago
The length of a quarter is 0.953 inch. round the length of a quarter to the nearest tenth of an inch
liraira [26]

Answer:

1 inch

Step-by-step explanation:

The 9 is in the tenths place so you look to the hundredths place and if the number is greater than or equal to 5 then the 9 can round up.

The hundredths place is 5 so the 9 rounds up and since it can not round up in the tenths place you put the rounding in the front so the answer is 1 inch.

6 0
3 years ago
Hurry!
NARA [144]

Ans(a):

Given function is f(x)=\frac{3x-1}{x+4}

we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0

so let's solve

x+4≠0 for x

x≠0-4

x≠-4

Hence at x=4, function can't have solution.


Ans(b):

We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)

so we get:

g(x)=f(x)+4

g(x)=\frac{3x-1}{x+4}+4

We may simplify this equation but that is not compulsory.

Comparision:  

Graph of g(x) will be just 4 unit upward than graph of f(x).


Ans(c):

To find value of x when g(x)=8, just plug g(x)=8 in previous equation

8=\frac{3x-1}{x+4}+4


8-4=\frac{3x-1}{x+4}


4=\frac{3x-1}{x+4}


4(x+4)=(3x-1)


4x+16=3x-1


4x-3x=-1-16

x=-17

Hence final answer is x=-17

8 0
4 years ago
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