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jenyasd209 [6]
3 years ago
15

3x+4/5=7-2x what does x=

Mathematics
1 answer:
klemol [59]3 years ago
4 0

Answer:

x=31/25

Step-by-step explanation:

3x+4/5=7-2x

Multiply through by 5

5(3x+4/5)=5(7-2x)

15x+4=35-10x

Collecting like terms

15x+10x=35-4

25x=31

x=31/25

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Two integers, a and b, have a product of 36. What is the least possible sum of a and b?
Minchanka [31]
<h3>Answer:  12</h3>

==============================================================

Explanation:

The two integers multiply to 36, so,

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a = 36/b

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a+b = (36/b)+b

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If we were to graph out the function, we get the curve shown below.

To make things easier, we'll only focus on positive values of x.

The lowest part of the curve is what we're after. Using the "minimum" function/feature on the graphing calculator, we would then find the lowest point occurs at (6,12). This point is considered a local minimum because it's the lowest point in that given neighborhood of x values.

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In short, a = 6 and b = 6.

----------------------

As a check,

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We can make a table of various values to help confirm that 12 is the smallest sum.

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