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2 years ago

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

Mathematics

1 answer:

Artist 52 [7]2 years ago

3 0

Answer:

This system of equations has infinite points of intersection

Step-by-step explanation:

* To know the point of intersection of the system of equations,

you will solve the graphically or algebraically

- Graphically by drawing two lines on the coordinate plane

- Algebraically by substitution method or elimination method

* Lets use the substitution method

∵ y = 4 - x

∵ 2y = 8 - 2x

- Substitute y in the second equation by its value in the

first equation

∴ 2(4 - x) = 8 - 2x ⇒ open the bracket

∴ 8 - 2x = 8 - 2x

* The two sides equal each other, that means we can use any

vales of x, and on the graph they will be the same line for

the two equations

∴ This system of equations has infinite points of intersection

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6-1/2z=2/3 what is z?

Marina CMI [18]

6 - 1/2z = 2/3
subtract 6 from both sides
- 1/2z = -16/3
divide both sides by -1
1/2z = 16/3
rewrite
1z/2 = 16/3
multiply both sides by 2
1z = 32/3
z = 32/3 or 10 2/3

Hope this helps :)

8 0

3 years ago

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The Environmental Protection Agency (EPA) has contracted with your company for equipment to monitor water quality for several la

max2010maxim [7]

Answer:

36.58% probability that one of the devices fail

Step-by-step explanation:

For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A total of 15 devices will be used.

This means that $n = 15$

Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.

This means that $p = 0.05$

What is the probability that one of the devices fail?

This is $P(X = 1)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658$

36.58% probability that one of the devices fail

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2 years ago

Find the volume of the prism. 3 cm 37 cm 5 cm

vitfil [10]

The answer to your question is 45

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2 years ago

Need help with this

stira [4]

Answer: 5,356 is the right asnwer

Step-by-step explanation: I did the paper hope this helps :)

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2 years ago

The length of a rectangle 1.6 times longer with the sum of width and length being 130 feet

Lena [83]

Let be the length, and be the width.
If the length is 1.6 times the width, then

If the sum of the length and with (in feet) is 130, then
Substituting in the equation above, the expression for , we get
--> --> -->
Ten, substituting the value found for in we find
-->
The two equations we set up at the start form a system of linear equations:

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3 years ago

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