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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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What is the common ratio for the geometric sequence? 18,12,8,163,… Enter your answer in the box.

uysha [10]

Answer:

$\frac{2}{3}$ .

Step-by-step explanation:

We have been given a geometric sequence 18,12,8,16/3,.. We are asked to find the common ratio of given geometric sequence.

We can find common ratio of geometric sequence by dividing any number by its previous number in the sequence.

$\text{Common ratio of geometric sequence}=\frac{a_2}{a_1}$

Let us use two consecutive numbers of our sequence in above formula.

$a_2$ will be 12 and $a_1$ will be 18 for our given sequence.

$\text{Common ratio of geometric sequence}=\frac{12}{18}$

Dividing our numerator and denominator by 6 we will get,

$\text{Common ratio of geometric sequence}=\frac{2}{3}$

Let us use numbers 8 and 16/3 in above formula.

$\text{Common ratio of geometric sequence}=\frac{\frac{16}{3}}{8}$

$\text{Common ratio of geometric sequence}=\frac{16}{3*8}$

$\text{Common ratio of geometric sequence}=\frac{2}{3}$

Therefore, we get $\frac{2}{3}$ as common ratio of our given geometric sequence.

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3 years ago

Consider the following polynomials (x+3)(x+9)(x-6) = 0.Which of the following are zeros of the function?

mote1985 [20]

The solutions are:
-9, -3, 6,

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3 years ago

Three times the cost of a pack and boots

OverLord2011 [107]

Answer:

Step-by-step explanation:

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3 years ago

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blagie [28]

Answer:

x = 7

Step-by-step explanation:

Solve for x over the real numbers:

(3 x)/(2 x - 2) = 14/8

14/8 = 7/4:

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

Cross multiply:

12 x = 7 (2 x - 2)

Expand out terms of the right hand side:

12 x = 14 x - 14

Subtract 14 x from both sides:

-2 x = -14

Divide both sides by -2:

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3 years ago

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mamaluj [8]

Hyperbola: y = 1/x

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

Shape: open curve with two branches

Domain: Any non-zero real number x < 0, x > 0 or x∈ (-∞, 0) ∪ (0, +∞)

Range: Any non-zero real number y < 0, y > 0 or y∈ (-∞, 0) ∪ (0, +∞)

Locater point: Imaginary point of intersection of asymptotes (0, 0)

Asymptotes: x = 0 and y = 0

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