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makvit [3.9K]
2 years ago
7

The question is in the picture ​

Mathematics
1 answer:
SSSSS [86.1K]2 years ago
5 0
I’m pretty sure it’s 16 sorry if I counted wrong.
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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
The meeting had 30 people, which is five-sixths of the club. How many people are in the club?
Firlakuza [10]
30 x 5/6 = 25

The answer is 25 people

I hope this helped. Let me know if you have any other questions!
3 0
3 years ago
Read 2 more answers
Solve the following equation system by graphing<br> X-Y=4<br> X+Y=2<br> What is the solution?
AfilCa [17]
<span>X-Y=4, 
X+Y=2 
-------------add
2x = 6
x = 3

X - Y =4
3 - Y = 4
Y = 3 - 4
Y = -1

solution (3 , -1)</span>
4 0
3 years ago
Find the sum of the terms.
kow [346]

Answer:

C

Step-by-step explanation:

Given

\frac{x}{x^2+3x+2} + \frac{3}{x+1} ← factor the denominator of first fraction

= \frac{x}{(x+1)(x+2)} + \frac{3}{x+1}

Multiply the numerator/ denominator of second fraction by (x + 2)

= \frac{x}{(x+1)(x+2)} + \frac{3(x+2)}{(x+1)(x+2)}

The denominators are now common, so add the numerators leaving the denominator, that is

= \frac{x+3x+6}{(x+1)(x+2)}

= \frac{4x+6}{(x+1)(x+2)} → with numerator 4x + 6 → C

5 0
3 years ago
Is the sum of two angles sometimes , always , or never an obtuse angle ?
k0ka [10]
An obtuse angle would be an angle more then 90 degrees.

So if you add two angles together, it could be less then 90 degrees, such as 30 + 50 = 80 degrees.

However, it can also be more then 90 degrees, or an obtuse angle, for example 60 + 50 = 110 degrees.

So it's sometimes.
5 0
3 years ago
Read 2 more answers
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