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galben [10]
2 years ago
9

Shirley is saving money to buy a computer

Mathematics
1 answer:
Mnenie [13.5K]2 years ago
8 0
Congrats to Shirley!! Does she have a question?
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The area of a rectangular piece of cardboard is represented by
Liula [17]

This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.

Area of a rectangle:

The area of rectangle of length l and width w is given by:

A = wl

w(2w + 3) = 9

From this, we get that:

l = 2w + 3, A = 9

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

In this question:

w(2w+3) = 9

2w^2 + 3w - 9 = 0

Thus a quadratic equation with a = 2, b = 3, c = -9

Then

\Delta = 3^2 - 4(2)(-9) = 81

w_{1} = \frac{-3 + \sqrt{81}}{2*2} = 1.5

w_{2} = \frac{-3 - \sqrt{81}}{2*2} = -3

Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.

Another similar problem can be found at brainly.com/question/16995958

5 0
2 years ago
What is the value of x?
madam [21]

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

3 0
2 years ago
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Which of the following statements is correct if you roll a fair 6-sided die 600 times?
never [62]
The answer is b hope it helped
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3 years ago
How do you know that 5,7,8,9,10 and 11 are not factors of 12
-Dominant- [34]

you cannot multiply any of the numbers above by another to get 12, the factors of 12 would be 1,2,3,4,6,12 1x12= 12 2x6=12 4x3=12

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3 years ago
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3(x + 1) = 5(x - 2) + 7 x=?
alukav5142 [94]
1.4 repeating? 


3x+3=5x-10+7x
3x+3=12x-10
3=9x-10
13=9x
1.4 repeating=x
4 0
2 years ago
Read 2 more answers
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