Terry has completed 15 homework problems, and Susan has completed 9. Terry is completing 10 problems per hour, and Susan is comp
1 answer:
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To solve this problem, you have to know these two special factorizations:
Knowing these tells us that if we want to rationalize the numerator. we want to use the top equation to our advantage. Let:
That tells us that we have:
So, since we have one part of the special factorization, we need to multiply the top and the bottom by the other part, so:
So, we have:
That is our rational expression with a rationalized numerator.
Also, you could just mutiply by:
Either way, our expression is rationalized.
Answer:
289 messages
equation:
graph: attached below
Step-by-step explanation:
We can write this in slope-intercept form, or . Since x is defined as the #of text messages, and 0.05 is the cost of a text message, 0.05 will be m. 45.5 is the base price, or the y-intercept, so it will be b.
Plugging in these numbers, we get
now we make y = 60, since that is the total amount they have
So, they can send 290 messages for 60, but they need the bill under 60, so 1 text message less will be 289, and that's enough.
