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grandymaker [24]
3 years ago
14

K

Mathematics
1 answer:
lukranit [14]3 years ago
5 0
K/1.5 = 3
Multiply both sides by 1.5
k(1.5/1.5)=3(1.5)
k(1)=4.5
k=4.5
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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,

ab = 36

which solves to

a = 36/b

Then we want to add the numbers such that we get the smallest possible result.

a+b = (36/b)+b

So we want (36/b)+b to be as small as possible.

Let's say we replace b with x and we consider this function

f(x) = (36/x) + x

The goal is to find when f(x) is smallest, ie, we want to minimize the function.

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.

So the input x = 6 leads to the smallest output f(x) = 12.

This in turn means b = 6 is going to pair with a = 36/b = 36/6 = 6.

In short, a = 6 and b = 6.

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

As a check,

a*b = 6*6 = 36

a+b = 6+6 = 12

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

Side note: If you're not allowed to use a graphing calculator, then you'll need to use calculus.

8 0
3 years ago
Heellllllllllllllllllllppppppppppppppppppppppppppp
tatyana61 [14]
The slope or also known as “m” equals 4/4 or 1 in simplified form.
4 0
3 years ago
Help ASAP! thanks so much!
melamori03 [73]
I believe it is 1500
(1920 - 420)
4 0
3 years ago
Rewrite the equation below so that it does not have fractions.
Eduardwww [97]

Answer:

6x-40=3

Step-by-step explanation:

3/4 x -5 =3/8

Multiply each side by 8 to get rid of the fractions.

8(3/4x -5 ) =8*3/8

Distribute

6x-40=3

5 0
2 years ago
Read 2 more answers
How do I solve this graph
Sunny_sXe [5.5K]
Plug in two values for x, say, 0 and 1.  



Lets start with solving the equation when x=0.  

y=2(0)-3
y=0-3
y=-3.

So, when x=0, y=-3.  Graph (0, -3)

Next, x=1

y=2(1)-3
y=2-3
y=-1

So, when x=1, y=-1.  Graph (1,-1)

Draw a line between the two points, and that should be your answer!  Hope this helped :)

8 0
3 years ago
Read 2 more answers
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