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Marrrta [24]
3 years ago
6

Solving a word problem with two unknowns using a linear equation

Mathematics
1 answer:
liberstina [14]3 years ago
6 0

Answer:

350

Step-by-step explanation:

629= A+S

A-71 = S

629 = A+A-71

700=2A

A=350

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What is the relationship between exponentials and logarithms? How can you use these to solve equations? Provide an example in yo
Sveta_85 [38]

Answer:

Exponentials and logarithms are inverses of each other.

Step-by-step explanation:

Exponentials and logarithms are inverses of each other.

For logarithmic function:

Domain = \left ( 0,\infty  \right ), Range = \left ( -\infty ,\infty  \right )

Vertical asymptote is y - axis.

x - intercept is (1,0)

For exponential function:

Domain = \left ( -\infty ,\infty  \right ), Range = \left ( 0,\infty  \right )

Horizontal asymptote is x - axis.

y- intercept is (0,1)

Both exponential and logarithmic functions are increasing.

For example:

Solve: \log x=\frac{\log 5+\log 3}{\log 3^2}

\log x=\frac{\log 5+\log 3}{\log 3^2}\\\log x=\frac{\log (5\times 3)}{2\log 3}\,\,\left \{ \because \log (ab)=\log a+\log b\,,\,\log a^b=b\log a \right \}\\=\frac{\log 15}{2\log 3}

\Rightarrow \log x=\frac{\log 15}{2\log 3}\\\Rightarrow x=e^{\frac{\log 15}{2\log 3}}\,\,\left \{ \because \log x=y\Rightarrow x=e^y \right \}

4 0
3 years ago
Find the solution of 4x2y′′−4x2y′+y=0,x>04x2y″−4x2y′+y=0,x>0 of the form y1=xr(1+c1x+c2x2+c3x3+⋯)
BabaBlast [244]

Answer:

r = 1/2

c1 = 3/4

c2 = 27/64

c3 = 405/1408

Step-by-step explanation:

Find the solution of 4x2y′′−4x2y′+y=0,x>04x2y″−4x2y′+y=0,x>0 of the form y1=xr(1+c1x+c2x2+c3x3+⋯)

r = 1/2

c1 = 3/4

c2 = 27/64

c3 = 405/1408

The solution is attached.

5 0
3 years ago
To find the number of bacteria, B, after t hours, use the formula B =1001.32t. How many bacteria were there
masha68 [24]

Answer:

The answer to your question is : B = 5007

Step-by-step explanation:

Formula

               B = 1001.32t

t = 5 hours,

Then

             B = 1001.32 (5)

            B = 5006.6 ≈ 5007

4 0
3 years ago
STAR Co. provides paper to smaller companies whose volumes are not large enough to warrant dealing directly with the paper mill.
mamaluj [8]

Answer:

  see below

Step-by-step explanation:

In order for the problem to make sense, we have to assume typos in Patterns 2, 3, and 4. We suppose they should be (0, 0, 3, 10), (8, 0, 0, 4) and (2, 1, 2, 1).

If we let p, q, r, s, t represent the number of rolls cut to patterns 1 to 5, respectively, then we want ...

  minimize 10p +10q +4r +s +t . . . . . . . total trim loss

  subject to ...

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     p≥0, q≥0, r≥0, s≥0, t≥0

_____

The solution works out to be (p, q, r, s, t) = (1, 0, 253, 1600, 64) with a trim loss of 2686 feet (equivalent to 27 100-ft rolls).

Note that we have endeavored to fill the order exactly. We don't know if there are cut choices that would minimize loss further, but result in a few rolls extra of some width or another.

3 0
3 years ago
An economy package of cups has 600 green cups. If the green cups are 30% of the total package, how many cups are in the package?
lawyer [7]

Answer:

Step-by-step explanation:

I don't say you have to mark my ans as brainliest but my friend if it has really helped you plz don't forget to thank me...

4 0
2 years ago
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