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yKpoI14uk [10]
3 years ago
15

A manufacturer of widgets finds that the production cost, C, in dollars per unit is a function of the number of widgets produced

. The selling price, S, of each widget in dollars is a function of the production cost per unit.
C(x) = –0.1x2 + 100

S(C) = 1.4C

What is the selling price per widget as a function of the number of widgets produced, and what should the selling price be if 15 widgets are produced?

C(S(x)) = –0.196x2 + 100; $108.64
C(S(x)) = –0.196x2 + 100; $55.90
S(C(x)) = –0.14x2 + 140; $144.41
S(C(x)) = –0.14x2 + 140; $108.50
Mathematics
1 answer:
Ilya [14]3 years ago
6 0

Answer:

D

Step-by-step explanation:

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Factor:<br> 4b2 - 12b + 9
Vikentia [17]

Answer:

  (2b-3)²

Step-by-step explanation:

The square of a binomial is ...

  (p - q)² = p² - 2pq + q²

The fact that the first and last terms are perfect squares suggests that you might want to look to see if the middle term matches this form. It does.

For p² = 4b², p=2b.

For q² = 9, q = 3.

Then 2pq = 2(2b)(3) = 12b.

So, the factoring is ...

  4b² -12b +9 = (2b -3)²

5 0
3 years ago
What is the solution for the equation -15=5(3y-10)-5y
marissa [1.9K]

Answer:

  • \Large\boxed{\sf{y=\dfrac{7}{2} }}

Step-by-step explanation:

Isolate the variable of y from one side of the equation.

-14=5(3y-10)-5y

<u>First, switch sides.</u>

\sf{5\left(3y-10\right)-5y=-15}

Use the distributive property.

<u>DISTRIBUTIVE PROPERTY:</u>

A(B-C)=AB-AC

5(3y-10)

Multiply by expand.

5*3y=15y

5*10=50

15y-50-5y

15y-5=10y

= 10y-50

10y-50=-15

Add by 50 from both sides.

10y-50+50=-15+50

Solve.

10y=35

Then, you divide by 10 from both sides.

10y/10=35/10

Solve.

Divide the numbers from left to right.

35/10=7/2

y=7/2

Divide is another option.

7/2=3.5

\Longrightarrow: \boxed{\sf{y=\dfrac{7}{2}}}

  • <u>Therefore, the correct answer is y=7/2.</u>

I hope this helps. Let me know if you have any questions.

7 0
1 year ago
A rectangle has an area of 72 swaure units. The width of the rectangle is 9 units. The length of the rectangle is 2x + 4. What i
vichka [17]

Answer:

8 units

Step-by-step explanation:

<u>Area of a rectangle</u> = <em>Width</em> multiplied by Length

Substitute in all the known numbers into this formula to get

<u>72</u> = <em>(9)</em> × (2x+4)

Solve the equation for x, to find out the length

9(2x+4)=72

2x+4=72/9

2x+4=8

2x=8-4

2x=4

x=4/2

x=2

Length of the rectangle = (2x+4)

2(2)+4

4+4=8

5 0
3 years ago
26 × (-5 + 3)= step by step
lina2011 [118]

<em>Hello ~</em>

<em />

My name is lrxdscent, and I will be answering your question today! :D

Let's go by step-by-step ~

<h2>→ <u>Answer :-</u></h2>

<u />

<u />\sf{= -52x}

<h2>→  <u>Explanation :-</u></h2>

<u />

<u />\sf{26x \: (-5 \: + \: 3)

\sf{Add \: the \: numbers: \: -5 \: + \: 3 = -2}

\sf{= 26x \: (-2)

\sf{Multiply \: the \: numbers: \: 26 \: (-2) \: = \: -52}

\sf{= -52x}

Hope It Helps! ~

<em>~ Learn With Lrxdscent ~</em>

<em />

<em />\underline{Answer :}

ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ

8 0
2 years ago
Read 2 more answers
The relationship between a person's age in years and maximum heart rate in beats per minute can be modeled by the equation y = 2
Mademuasel [1]
A. For each year a person ages his or her maximum heart rate decreases by 220 beats per minute.!
8 0
2 years ago
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