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3 years ago

For the graph shown, select the statement that best represents the given system of equations.

Mathematics

2 answers:

Step2247 [10]3 years ago

8 0

Answer: The statement 'C. Consistent and independent' best represents the given system of equation.

Step-by-step explanation:

If a system of equations has at least one solution then it is called consistent while if it does not have any solution then it is called inconsistent.

The consistent system further divides into two types,

Independent : If a consistent system has exactly one solution.

Dependent : If a consistent system has infinitely many solutions.

Here, the given system of equations,

5y - 7x = 10,

3y + 4x = 6,

Since, by solving these equations,

We get, x = 0 and y = 2,

Hence, the solution of the given system of equations is (0,2) ( also shown in the graph )

By the above definition,

⇒ It is an independent consistent system.

⇒ Option C is correct.

Marina86 [1]3 years ago

4 0

The answer is C.consistent and independent

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You have only $5 bills and $10 bills in your pocket. If you have ten bills totaling $70, how many of each do you have?

In-s [12.5K]

it’s six 5
and four 10

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3 years ago

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When a fisherman catches a fish, the probability that it is a young one is 0.23 . All young fishes are returned to the water. On

max2010maxim [7]

Answer:

The value is $P(X = 3) = 0.0725$

Step-by-step explanation:

From the question we are told that

The probability catching a young fish is q = 0.23

The number of fish that was caught is n = 5

Generally the probability of catching a adult fish is mathematically represented as

$p = 1 -q$

=> $p = 1 - 0.23$

=> $p = 0.77$

Generally for a fish to be edible it must be an adult fish.

Generally the distribution of the number of fish the fisher man caught follows a binomial distribution

i.e

$X \~ \ \ \ B(n , p)$

and the probability distribution function for binomial distribution is

$P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}$

Here C stands for combination hence we are going to be making use of the combination function in our calculators

$P(X = 3) = \ ^5C_3 *(0.77)^{3} * (0.23)^{5- 3 }$

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3 years ago

Please solve and explain 1/5x = 20 x = ?

elixir [45]

Answer:

x = 1/100

Step-by-step explanation:

see the pic for the steps

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3 years ago

I have no idea what to do with this!

finlep [7]

The function given in the question is

g(x) = 4x - 5
When x = 2, then
g(2) = (4 * 2) - 5
= 8 -5
= 3
When x = - 4, then
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= - 21
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Furkat [3]

Answer:

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Step-by-step explanation:

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