Answer:
c. 2.4 yards
Step-by-step explanation:
If x is the width of the walkway, then the total landscape area is ...
(4.5 +x)(7.5 +x) = 68.31
This quadratic equation can be rearranged to standard form and solved in any of the usual ways.
(x +4.5)(x +7.5) -68.31 = 0
x² +12x -34.56 = 0
Using the quadratic formula, we have ...
x = (-12 ±√(12² -4(1)(-34.56)))/2 = -6 ± √70.56 = -6 ± 8.4
The positive solution is x = 2.4.
The width of the walkway is 2.4 yards.
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A graphing calculator or spreadsheet solver can also find the solution for you.
The value of lim f(x) + g(x) in the information given is 2
<h3>How to calculate the value?</h3>
From the given information, the limit of f(x) is given as 5/4 and Lim g(x) = 3/4.
Therefore, lim f(x) + g(x)
= 5/4 + 3/4
= 8/4
= 2
Learn more about limit on:
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Complete question
What is the limit of f(x) = 5/4 + g(x) = 3/4 as x approaches c?
Answer:
42
Step-by-step explanation:
Since Gabrielle is 7 years older than Mikhail, we subtract 7 from 91. Then we divide it by 2. So 84/2=42. Since Gabrielle is 7 years older we add 7 to 42. She is 49 and Mikhail is 42 years old. To double check our answer we should add both of the ages we got to make sure they add up to 91, so 42+49 is 91.
Combine like terms in the first set and get
41.6x +52/2.6x + 13
I got 16x + 4
