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abruzzese [7]
3 years ago
6

Use the distributive property to write an equivalent expression for -1/2 (4 minus 6x)

Mathematics
1 answer:
Softa [21]3 years ago
3 0

Answer:

<h2>3x - 2</h2>

Step-by-step explanation:

<em>The distributive property</em>:

<em>a(b + c) = ab + ac</em>

-\dfrac{1}{2}(4-6x)=\left(-\dfrac{1}{2}\right)(4)+\left(-\dfrac{1}{2}\right)(-6x)=-2+3x

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Suppose that each day a company has fixed costs of 400 dollars and variable costs of 0.8x+1420 dollars per unit, where x is the
Bess [88]

Answer:

Step-by-step explanation:

Given that a company fixed costs are 400 dollars

and variable cost = 0.8x+1420 per unit and x the no of units produced

Selling price = 1500-0.25x per unit

a) Break even units

At break even units selling price = variable cost

1500-0.25x=0.8x+1420\\1.05x = 80\\x=76.19~76

Break even units = 76

b) Revenue = Sales - total costs

= x(1500-0.25x)-(x)(0.8x+1420)-400\\= 1500x-0.25x^2-0.8x^2-1420x-400\\= -1.05x^2+80x-400

Use derivative test to get max revenue

R'(x) = -2.10x+80

R"(X) <0

So maximum when I derivative =0 or when

x=38.10

x=38

c) price when x =38 is

P = 1500-0.25(38)\\=1490.5

5 0
3 years ago
3<br><br><br> math geniuses help please!!<br><br><br> math
dedylja [7]

Answer:

A or C   ( they are the same answer in your Q)

Step-by-step explanation:

3 cos (theta)    

6 0
2 years ago
When a number is decreased by 17% the result is 15. what is the original number?
Stels [109]

Answer:

original number is 18.07

Step-by-step explanation:

Let the original number be x

x - 17% of x  = 15

x* (1  - 0.17) = 15

x * 0.83 = 15

x = 15/0.83

x = 18.072289156

Or if your wording meant   17% of a number is 15  then:

x * 17% = 15

x *0.17 = 15

x = 15/0.17 = 88.23529...

but I think you meant  "decreased by 17%"   so I choose  x = 18.07

8 0
3 years ago
Find the length L of the curve
ehidna [41]

Answer:

4.647 to the nearest thousandth.

Step-by-step explanation:

The formula for the length of an arc between  x = a and x = b is

  a

    ∫  √( 1 + (f'(x))^2) dx

  b

Here f(x) = √x so

we have  ∫  (√( 1 + (1/2 x^-1/2))^2 )   between x = 0 and x = 4.

=   ∫ ( √( 1 + 1/(4x)) dx   between  x = 0 and x = 4.

This is not easy to integrate  but some software I have gives me the following

length =  √17 + 1/8 log(33 + 1/8 √17)

= 4.647.

3 0
3 years ago
suppose that x and y very inversely and that y=8/3 when x =8, write a function that models the inverse variation and find y when
Digiron [165]
First find the constant k. For inverse variation, k=yx.
k=(8/3)*3=8
8=yx or y=8/x
8=4y
y=2
Hope this helps. 
5 0
3 years ago
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