Express as a trinomial. (3x + 7)(3x + 4)
1 answer:
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<u>Let's take this problem step-by-step</u>:
<u>Let's first set up some variables</u>:
- c: # of children
- a: # of adults
<u>Let's examine the information given:</u>
- Elevator can hold a maximum of 1500 pounds
⇒ average child is 75 pounds
⇒ average adult is 150 pounds
⇒<em> therefore</em>:
- Elevator can fit no more than 14 people
⇒ <em>therefore</em>:
<u>Let's graph the equations</u>:
⇒ look at the image attached
<u>The point at which the two graphs intersect:</u>
⇒ <em>is the solution that represents the amount of children and adults and </em>
<em> their combine weight</em>
<em />
<u><em>With the horizontal axis being the # of children and vertical axis being the # of adults</em></u><em>:</em>
<em> ⇒ the </em><em>solution is 8 children and 6 adults</em>
<em></em>
<u>Answer: 8 children and 6 adults</u>
<u></u>
Hope that helped!
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<h2>Key Concepts</h2>
- Linear equations
- Slope-intercept form
Slope-intercept form looks like this:
- <em>m</em> = slope
- <em>b</em> = y-intercept
<h2>Solving the Question</h2>
We're given:
- <em>m</em> = 0
- <em>b</em> = -5
Plug the given values into y=mx+b: