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3 years ago

Determine the equivalent system for the given system of equations:

Mathematics

1 answer:

Alenkinab [10]3 years ago

7 0

Answer:

They are an equivalent system and the values are x=17/37 and y=-16/37

Step-by-step explanation:

Systems of equations that have the same solution are called equivalent systems.

Given a system of two equations, we can produce an equivalent system by replacing one equation by the sum of the two equations, or by replacing an equation by a multiple of itself.

(-4)*(5x + 3y = 1) → -20x - 12y = -4

(5)*(4x − 5y = 4) → 20x - 25y =20

Add the last 2 eq → -37y= 16 → y= - 16/37

replace this value in any equation of the system.

5x + 3(-16/37) = 1 → x= (1 +48/37)/ 5 =(37/37 + 48/37)/5=(85/37)/5 = 17/37

We have x and y values. Replace this values in both equation and verify the result

5x + 3y = 1 → 85/37 -48/37 =37/37=1

4x − 5y = 4 → 68/37 + 80/37= 148/37= 4

So, in fact, they are a equivalent system

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A friend has offered to play a gambling game with you that involves flipping a coin that she has provided. You want to test the

Sloan [31]

Answer:

The 10% condition would not apply here

Explanation:

The 10% condition is the recommended size of sample from the population to get a non biased result. The 10% condition requires that the sample be not more than 10% of the population.

Tossing a coin is an example of a Bernoulli trial. A Bernoulli trial is one that has two possible outcomes, this face of the coin or the other face of the coin. The 10% condition does not apply to Bernoulli trials that are independent events.

Therefore the 10% condition would not apply here because tossing a coin is an an independent event. An independent event is one with replacement.

5 0

2 years ago

A rectangular prism must have a base with an area of no more than 27 square meters. The width of the base must be 9 meters less

den301095 [7]

Answer:

The maximum height of the prism is $12\ m$

Step-by-step explanation:

Let

x------> the height of the prism

we know that

the area of the rectangular base of the prism is equal to

$A=L*W$

$A\leq 27\ m^{2}$

$L*W\leq 27$ -------> inequality A

$W=x-9$ ------> equation B

$L=W+6$ -----> equation C

Substitute equation B in equation C

$L=(x-9)+6$

$L=x-3$ ------> equation D

Substitute equation B and equation D in the inequality A

$(x-3)*(x-9)\leq 27$ -------> using a graphing tool to solve the inequality

The solution for x is the interval----------> $[0,12]$

see the attached figure

but remember that

The width of the base must be $9$ meters less than the height of the prism

the solution for x is the interval ------> $(9,12]$

The maximum height of the prism is $12\ m$

8 1

2 years ago

Read 2 more answers

Find the midpoint of the line segment whose endpoints are (3, 10) and (7, 8).

Stels [109]

Answer:

Option 2 is correct.

Step-by-step explanation:

Given the coordinates of lines segment (3, 10) and (7, 8). we have to find the mid-point of given line segment.

Mid-point formula states that if $(x_1,y_1)$ and $(x_2,y_2)$ are the coordinates of end points of line segment then the coordinates of mid-point are