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m_a_m_a [10]
4 years ago
12

How many solutions does the following system of equations have

Mathematics
1 answer:
Zanzabum4 years ago
5 0

Answer:

Step-by-step explanation:

The two equations are

y = \frac{5}{2} x + 2 $          ......(1)

2y = $ 5x + 8 $                      ......(2)

Equation (2) can be written as:

y = $ \frac{5}{2}x + \frac{8}{2} = \frac{5}{2}x + 4 $

Now these two equations represent a pair of parallel lines.

The equations of any two parallel line differ only by a constant.

Since, these are equations of parallel lines, they don't intersect. If they don't intersect they cannot have solutions.

⇒ The given system of equations has zero solutions.

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I need help on this plz ​
Shalnov [3]

Answer:

x = 3

Step-by-step explanation:

You can use cross multiply.

8x = 6 x 4

8x = 24

x = 3

7 0
3 years ago
Read 2 more answers
Can someone help pls 10 points
victus00 [196]

Answer:

A. 4x - 6 = -3x + 5

Step-by-step explanation:

you just have to take the first equation and substitute that in, in the second equation.

hope that helps. have a good day!

3 0
3 years ago
What is the interquartile range of the data? 24, 25, 27, 36, 37, 42, 42, 43, 49, 49, 50, 53, 59, 61, 65 41 7 17 10
AysviL [449]
<span>The interquartile range is the difference between the third quartile and the first quartile. First, find the median so you can separate the data in half. The median is the middle number. Arrange the numbers from least to greatest and find the number in the middle.

</span>\sf 24, 25, 27, 36, 37, 42, 42, \boxed{\sf 43}, 49, 49, 50, 53, 59, 61, 65

Find the medians of these two halves. These will be Quartile 1 and Quartile 3.

\sf 24, 25, 27, \boxed{\sf 36}, 37, 42, 42

Quartile 1 is 36

\sf 49, 49, 50, \boxed{\sf 53}, 59, 61, 65

Quartile 3 is 53

\sf IQR=Q3-Q1=53-36=\boxed{\sf 17}
3 0
3 years ago
What is equivalent to (3√125)x ?
lubasha [3.4K]
Answer:   15x /5 


15x(the symbol between 3 and 125)5


Brainly wouldn't let me use the symbol..
3 0
3 years ago
Read 2 more answers
Clarkson University surveyed alumni to learn more about what they think of Clarkson. One part of the survey asked respondents to
erastova [34]

Answer:

(a) The probability that a randomly selected alumnus would say their experience surpassed expectations is 0.05.

(b) The probability that a randomly selected alumnus would say their experience met or surpassed expectations is 0.67.

Step-by-step explanation:

Let's denote the events as follows:

<em>A</em> = Fell short of expectations

<em>B</em> = Met expectations

<em>C</em> = Surpassed expectations

<em>N</em> = no response

<u>Given:</u>

P (N) = 0.04

P (A) = 0.26

P (B) = 0.65

(a)

Compute the probability that a randomly selected alumnus would say their experience surpassed expectations as follows:

P(C) = 1 - [P(A) + P(B) + P(N)]\\= 1 - [0.26 + 0.65 + 0.04]\\= 1 - 0.95\\= 0.05

Thus, the probability that a randomly selected alumnus would say their experience surpassed expectations is 0.05.

(b)

The response of all individuals are independent.

Compute the probability that a randomly selected alumnus would say their experience met or surpassed expectations as follows:

P(B\cup C) = P(B)+P(C)-P(B\cap C)\\=P(B)+P(C)-P(B)\times P(C)\\= 0.65 + 0.05 - (0.65\times0.05)\\=0.6675\\\approx0.67

Thus, the probability that a randomly selected alumnus would say their experience met or surpassed expectations is 0.67.

5 0
4 years ago
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