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skelet666 [1.2K]
2 years ago
13

A man bought a house for 3600 Naira he repairs the house with 150 Naira if he sold the house for 4950 Naira . Find his percentag

e profit
Mathematics
1 answer:
kozerog [31]2 years ago
7 0

Step-by-step explanation:

profit%=

\frac{selling \: price - cost \: price}{cost \: price}  \times 100\%

\frac{4950 \: naira - 3600 \: naira + 150 \: naira}{3750 \: naira}  \times 100\%

\frac{4950 - 3750}{3750}  \times 100\%

\frac{1200}{3750}  \times 100\%

=36%

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Write a polynomial function with the given zeros. multiply the terms (write in standard form).
ryzh [129]

1) \ f(x)=x^3-3x-2 \\ \\ 2) \ g(x)=x^3-x^2-6x

<h2>Explanation:</h2>

A \ \mathbf{polynomial \ function} \ of \ x \ with \ degree \ n \ is \ given \ by:\\ \\ f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\ldots +a_{2}x^{2}+a_{1}x+a_{0} \\ \\ where \ n \ is \ a \ nonnegative \ integer \ and \ a_{n}, a_{n-1}, \ldots a_{2}, a_{1}, a_{0} \\ with \ a_{n}\neq 0

In this exercise, we have two cases and both will be polynomial functions with degree 3 because we have three real roots in each case. So:

<h3>First.</h3>

The roots are:

x= -1, -1, 2

So we can write this polynomial functions as the product of linear factors:

f(x)=(x-(-1))(x-(-1))(x-2) \\ \\ f(x)=(x+1)^2(x-2)

Since we have to write it in standard form, let's expand:

f(x)=(x+1)^2(x-2) \\ \\ \\ By \ property: \\ \\ (a+b)^2=a^2+2ab+b^2 \\ \\ \\ f(x)=(x^2+2x+1)(x-2) \\ \\ f(x)=x^3+2x^2+x-2x^2-4x-2 \\ \\ \\ Combine \ like \ terms: \\ \\ x^3+(2x^2-2x^2)+(x-4x)-2 \\ \\ \\ \boxed{f(x)=x^3-3x-2}

<h3>Second.</h3>

The roots are:

x= -2, 0, 3

Writing the polynomial function as the product of linear factors:

g(x)=(x-(-2))(x-0)(x-3) \\ \\ g(x)=(x+2)x(x-3) \\ \\ g(x)=x(x+2)(x-3) \\ \\ \\ Distributive \property: \\ \\ g(x)=x(x^2-3x+2x-6) \\ \\ g(x)=x(x^2-x-6) \\ \\ \\ Distributive \ property \ again: \\ \\ \boxed{g(x)=x^3-x^2-6x}

<h2>Learn more:</h2>

Degree of polynomial functions: brainly.com/question/5451252

#LearnWithBrainly

7 0
3 years ago
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allochka39001 [22]

Answer:

88

Step-by-step explanation:

PE M/D A/S

55/ (9-4) *8

9-4=5

55/5*8

11*8

88

7 0
2 years ago
Christi gives multiple demonstrations for two different cooking techniques each day at a local grocery store. The amount she ear
Helga [31]

Answer:  A.  h(x) = 205x - 56

Step-by-step explanation:

Since, According to the question,

The amount she earns for her seafood demos is given by f(x) = 85x - 21 where x represents the number of days.

And,  The amount she earns for her cake decorating demos is given by g(x) = 120x - 35.

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5 0
3 years ago
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Answer:

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I hope this helps!

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bezimeni [28]

Answer:

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Step-by-step explanation:

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