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musickatia [10]
3 years ago
14

The total number of seats in a theatre is modeled by f(x)=x^2-3x, where x represents the number of rows of seats. How many rows

are there in the theatre if it has a total of 208 seats
Mathematics
1 answer:
Gre4nikov [31]3 years ago
7 0

Answer:

16 rows

Step-by-step explanation:

x² - 3x = 208

Subtract 208 from both sides

x² - 3x - 208 = 0

Factor

(x - 16)(x + 13) = 0

x = {-13, 16}

The number of rows must be positive

x = 16

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Carol went on a holiday to Bristol.
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Answer:

658.91$

Step-by-step explanation:

Find the total cost

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5 0
2 years ago
A rectangular vegetable garden will have a width that is 4 feet less than the length, and an area of 140 square feet. If x repre
UNO [17]

Answer:

The length of the garden=14 feet

Step-by-step explanation:

<em>Step 1: Determine the dimensions of the garden</em>

length of the garden=x feet

width of the garden=(x-4) feet

<em>Step 2: Determine the area of the garden</em>

Area of the garden=length×width

where;

area=140

length=x

width=x-4

replacing'

x(x-4)=140

x²-4x-140=0, solve the quadratic equation;

x={-b±√(b²-4ac)}/2a

x={4±√4²-4×1×-140}/2×1

x={4±√(16+560)}/2

x={4±√576}/2

x=(4±24)/2

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The length=14 feet, width=(14-4)=10 feet

The length of the garden=14 feet

8 0
2 years ago
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