The substitution that should be used to rewrite 6(x+5)^2 + 5(x+5) - 4 = 0 is u = x + 5
<h3>Quadratic equations</h3>
These are equations that has a leading degree of 2. Given the expression
6(x+5)^2 + 5(x+5) - 4 = 0
In order to simplify this equation, we will replace the reoccuring term by a variable.
From the equation we can see that (x+5) is occuring the most. Let u = x + 5 so that:
6u^2 - 5u - 4 = 0
Hence the substitution that should be used to rewrite 6(x+5)^2 + 5(x+5) - 4 = 0 is u = x + 5
Learn more on quadratic equation here: brainly.com/question/1214333
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Answer: 160 miles
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Explanation:
x = number of miles driven, y = cost
First plan: y = 0.08x + 61.98
Second plan: y = 0.13x + 53.98
Equate the two right hand sides of each equation; solve for x
0.13x + 53.98 = 0.08x + 61.98
0.13x - 0.08x = 61.98 - 53.98
0.05x = 8
x = 8/0.05
x = 160
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Extra Info: plugging x = 160 into each equation gives us...
y = 0.08x + 61.98 = 0.08*160+61.98 = 74.78
y = 0.13x + 53.98 = 0.13*160 + 53.98 = 74.78
Therefore, driving 160 miles for each plan yields the same cost $74.78, which helps us confirm we have the right answer.
Answer:
21/5
Step-by-step explanation:
Answer:
500
Step-by-step explanation:
