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WITCHER [35]
3 years ago
15

Construct an equation that has n = 8 as its solution. Use n on both sides of the equation

Mathematics
1 answer:
Ksivusya [100]3 years ago
7 0

Answer:

8n-25=15+3n

Step-by-step explanation:

We can do this by working backwards and making suitable substitutions.

If n=8

Multiply both sides of the equation by 5

5n=8*5

5n=40

Now, we can rewrite the two sides of the equation as follows

  • 5n=8n-3n
  • 40=25+15

Thus:

5n=40 is equivalent to:

8n-3n=25+15

Add 3n to both sides

8n-3n+3n=25+15+3n

8n=25+15+3n

Subtract 25 from both sides

8n-25=25-25+15+3n

We have:

8n-25=15+3n

Solving this equation will have a solution of n=8.

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The production cost for a t-shirt printing company is a function of the number of t-shirts that are printed, t. The function tha
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Answer:

Therefore the company have to print either 47 or 12 t-shirt for its production cost to be $40 or less.

Step-by-step explanation:

Given that,

The function that models the production cost is

f(t)=0.1 t^2-6t+100

To find the number of t-shirt, we put f(t)=40 in given function.

∴40= 0.1t²-6t+100

⇒ 0.1t²-6t+100-40=0

⇒0.1 t²- 6t +60=0

⇒t²-60t+600=0

Applying quadratic formula x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}, a=1, b= - 60 and c=600

t=\frac{-(-60)\pm\sqrt{(-60)^2-4.1.600}}{2.1}

  = 47.32,12.67

 ≈47, 12

Therefore the company have to print either 47 or 12 t-shirt for its production cost to be $40 or less.

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