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jeyben [28]
3 years ago
5

The area of a rectangle is expressed as (14x + 28) square feet. If the width of the rectangle is 7 feet, write an expression to

represent the length of the rectangle. Draw a picture to guide you.

Mathematics
1 answer:
DochEvi [55]3 years ago
7 0

Answer:

The expression for the length of the rectangle is 2x + 4

Step-by-step explanation:

The formula for determining the area of a rectangle is expressed as

Area = length × width

The area of a rectangle is expressed as (14x + 28) square feet. If the width of the rectangle is 7 feet, then the expression for the length of the rectangle would be

Length = Area/ width

= (14x + 28)/7

The numerator has a common factor of 7. Therefore, if we factorize 7 out, it becomes

7(2x + 4)/7

Length = 2x + 4

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Find the average rate of change of the function defined by the following table. x y -2 -5 2 35 6 75 10 115
Pani-rosa [81]

By definition we have that the average rate of change of the function is:

 AVR =  \frac{f(x2) - f(x1)}{x2 - x1}

 Evaluating the function for the complete interval we have that the AVR is given by:

 AVR = \frac{115 - (-5)}{10 - (-2)}

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 AVR = \frac{115+5}{10+2}

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6 0
3 years ago
Please help, photo attached.
steposvetlana [31]

The zeroes of the polynomial functions are as follows:

  • For the polynomial, f(x) = 2x(x - 3)(2 - x), the zeroes are 3, 2
  • For the polynomial, f(x) = 2(x - 3)²(x + 3)(x + 1), the zeroes are 3, - 3, and -1
  • For the polynomial, f(x) = x³(x + 2)(x - 1), the zeroes are -2, and 1

<h3>What are the zeroes of a polynomial?</h3>

The zeroes of a polynomial are the vales of the variable which makes the value of the polynomial to be zero.

The polynomials are given as follows:

f(x) = 2x(x - 3)(2 - x)

f(x) = 2(x - 3)²(x + 3)(x + 1)

f(x) = x³(x + 2)(x - 1)

For the polynomial, f(x) = 2x(x - 3)(2 - x), the zeroes are 3, 2

For the polynomial, f(x) = 2(x - 3)²(x + 3)(x + 1), the zeroes are 3, - 3, and -1

For the polynomial, f(x) = x³(x + 2)(x - 1), the zeroes are -2, and 1

In conclusion, the zeroes of a polynomial will make the value of the polynomial function to be zero.

Learn more about polynomials at: brainly.com/question/2833285

#SPJ1

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