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svp [43]
2 years ago
6

I need help for this question.

Mathematics
1 answer:
Charra [1.4K]2 years ago
3 0

Answer:

  f(x) = (x +4)(x -1)(x -2)²

Step-by-step explanation:

The given points are all x-intercepts of the function. As such, each corresponds to a factor of the function. The x-intercept x=p corresponds to factor (x-p), for example.

Here, the x-intercept (2, 0) is repeated. It is said to have "multiplicity 2". That multiplicity value means the factor will have an exponent of 2 in the factored form of the function:

  f(x) = (x -(-4))(x -2)(x -1)(x -2)

  f(x) = (x +4)(x -1)(x -2)²

_____

<em>Additional comment</em>

When an x-intercept has even multiplicity, the graph will touch the axis there, but will not cross.

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Kabul’s bookshop marks up all books by 40 percent of their cost. The overhead rate is 16 percent of the selling price. What is t
morpeh [17]

Answer:

The net profit rate on the book is 5.41

Step-by-step explanation:

Given as :

The marks up percentage of book = m = 40%

The overhead rate is 16% of selling price

The cost price of book = c.p = $18.10

Let The profit = $p

Let The selling price = s.p

<u>Now, According to question</u>

mark up percentage = \dfrac{s.p - c.p}{c.p}

I.e 40% =  \dfrac{s.p - 18.10}{18.10}

Or, \dfrac{40}{100} + 1 = \dfrac{s.p}{18.10}

Or, \dfrac{140}{100} =  \dfrac{s.p}{18.10}

Or, s. p = \dfrac{140\times 18.10}{100}

∴ s.p = $25.34

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Now, The overhead percentage = 16%

i.e overhead rate = \dfrac{\textrm estimated cost}{\textrm estimated total base unit}

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Profit = selling price of book - estimated book cost

I.e p = $25.34 - $4.05

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∴ profit rate %= 5.41

So, The profit rate = p = 5.41

Hence, The net profit rate on the book is 5.41  Answer

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3 years ago
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Use the commutative law of addition to write a equivalent expression ab+c
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Answer:

c + ab

Step-by-step explanation:

The way an expression is written is the given you have presented to us.

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