The equation that can be ued to solve for the width of the rectangular frame is 2x² + 14x - 40 = 0.
<h3>What is the equation that can be used to solve for the width?</h3>
A rectangle is a 2-dimensional quadrilateral with four right angles.
Area of a rectangle = length x width
(2x + 4) x (2x + 10) = 120
Expand the brackets
4x² + 20x + 8x + 40 = 120
Add similar terms
4x² +28x + 40 = 120
4x² +28x - 80 = 0
Divide through by 2
2x² + 14x - 40 = 0
To learn more about how to calculate the area of a rectangle, please check: brainly.com/question/16595449
The bottom one since as x increases so does y. the top function doesn't since it's a quadratic. meaning it decreases and hen increases
<u>Answer-</u>
<em>$2000</em><em> were invested at 5%</em>
<u>Solution-</u>
Let x amount of money was invested at 5% and (6000-x) amount was invested as 3%
We know that,

Putting the values,


And


According to the question,







Therefore, $2000 were invested at 5%
7 rollercoasters because 4 shows plus 3 more rolercoasters equal 7 and 4 shows .It takes 5 minutes to ride on the rollercoaster plus the estimated 30 minute wait equals 35 and 35*7=245 and it takes 25 minutes to watch show and 25*4=100 and 245+100=345 so he can ride 7 rollerecoasters and 4 shows in 345 minutes.