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frozen [14]
3 years ago
5

What is the solution to this system of equations? -5.9x-3.7y=-2.1 5.9x+3.7y=2.1

Mathematics
2 answers:
marin [14]3 years ago
8 0

Answer:

There are infinite solutions that solve the system y=0.57-1.59x

Step-by-step explanation:

  • The solution can be expressed as y=0.57-1.59x (there are infinite solutions that solve the system). This results from rearranging terms in the first or second equation.
  • This is because the first equation is a linear combination of the second one (this is, the first equation equals (-1) times the second equation). This means that the second equation does not add any information about x and y: it says exactly the same as the first equation about the relationship between x and y.
  • Then, in terms of solving the system, you have one unique expression (not repeated) that shows the relationship between y and x. This means that, any pair of (x,y) that meet the requirements expressed by y=0.57-1.59x, will solve the system. Then we have infinite solutions.
Novosadov [1.4K]3 years ago
7 0

Answer:

the answer is C

Step-by-step explanation:

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Mohamed and Li Jing were asked to find an explicit formula for the sequence -5, -25, -125, -625,....
Nuetrik [128]

Answer:

Li Jing's formula i.e.  \boxed{g_n=-5\cdot \:5^{n-1}}  is right.

Step-by-step explanation:

Considering the sequence

-5,\:-25,\:-125,\:-625,...

A geometric sequence has a constant ratio r and is defined by

g_n=g_0\cdot r^{n-1}

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{g_{n+1}}{g_n}

\frac{-25}{-5}=5,\:\quad \frac{-125}{-25}=5,\:\quad \frac{-625}{-125}=5

\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}

r=5

So, the sequence is geometric.

as

\mathrm{The\:first\:element\:of\:the\:sequence\:is}

g_1=-5

r=5

so

g_n=g_1\cdot r^{n-1}

\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:

g_n=-5\cdot \:5^{n-1}

Therefore, Li Jing's formula i.e.  \boxed{g_n=-5\cdot \:5^{n-1}}  is right.

8 0
3 years ago
What is the ratio a:b if 8a=3b?
Digiron [165]

The ratio a:b is 3:8

Step-by-step explanation:

In simple words, the ratio a:b means the fraction a/b.

So we will have to solve the given equation for a/b

Given

8a=3b

Dividing both sides by 8

\frac{8a}{8}=\frac{3b}{8}\\a=\frac{3b}{8}

Dividing both sides by b

\frac{a}{b}=\frac{3b}{8*b}\\\frac{a}{b} =\frac{3}{8}

The ratio a:b is 3:8

Keywords: Ratios, Fractions

Learn more about ratios at:

  • brainly.com/question/4694425
  • brainly.com/question/4695279

#LearnwithBrainly

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