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ankoles [38]
4 years ago
6

The number of rows in an auditorium can be represented by the function f(x) = 80x. The number of seats in each row can be repres

ented by the function g(x) = x + 7. Which function represents the total number of seats, h(x) = f(x)g(x)?
Mathematics
1 answer:
rusak2 [61]4 years ago
4 0

Answer:

h(x) = 80x^2 + 560x

Step-by-step explanation:

To find the function h(x), that represents the total number of seats, we just need to multiply the functions f(x) (number of rows) and g(x) (number of seats per row):

h(x) = f(x) * g(x)

h(x) = 80x * (x+7)

h(x) = 80x*x + 80x*7

h(x) = 80x^2 + 560x

So the function that represents the total number of seats is:

h(x) = 80x^2 + 560x

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chubhunter [2.5K]

Answer:

The simplified form is \dfrac{2(x-1)}{3(x+1)}.

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Step-by-step explanation:

Given:

The expression given is:

\dfrac{2a^2-4a+2}{3a^2-3}

Let us simplify the numerator and denominator separately.

The numerator is given as 2a^2-4a+2

2 is a common factor in all the three terms. So, we factor it out. This gives,

=2(a^2-2a+1)

Now, a^2-2a+1=(a-1)(a-1)

Therefore, the numerator becomes 2(a-1)(a-1)

The denominator is given as: 3a^2-3

Factoring out 3, we get

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Now, a^2-1 is of the form a^2-b^2=(a-b)(a+b)

So, a^2-1=(a-1)(a+1)

Therefore, the denominator becomes 3(a-1)(a+1)

Now, the given expression is simplified to:

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Therefore, the simplified form is \dfrac{2(x-1)}{3(x+1)}

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