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Snowcat [4.5K]
3 years ago
10

Solve: 5/2x - 1/3= -1/2A. x=-5/12B. x= -25/12C. x= -1/15D. x= 1/3​

Mathematics
2 answers:
devlian [24]3 years ago
7 0

Answer:

c. x = -1/15

Step-by-step explanation:

5/2x - 1/3 = -1/2 [multiply the whole equation by 6 (lowest common denom)

15x - 2 = -3 [add 2 on both sides of equation

15x = -1 [divide both sides by 15 to isolate x]

x = -1/15

pickupchik [31]3 years ago
5 0
Answer is c. Change the denominator of 1/3 and 1/2 to 6 so you have 3/6 for 1/2 and 2/6 for 1/3. then add 2/6 to both sides to get -1/6 then isolate x.
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Liula [17]

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Step-by-step explanation:

We need to recur to the extreme value theorem, which states: "If a function is continuous on a closed interval, then that function has a maximum and a minimum inside that interval".

Basically, as the theorem states, if a dunction is continuous, then it has maxium or minium.

In this case, we have a quadratic function, which is a parabola. An important characteristic of parabolas is that they have a maximum or a minium, but they don't have both. When the quadratic term of the fuction is positive, then it has a minium at its vertex. When the quadratic term of the function is negative, then it has a maximum at its vertex.

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