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DIA [1.3K]
3 years ago
12

Is (3,8) a solution of the system?

Mathematics
2 answers:
Crank3 years ago
7 0

Answer:

False

Step-by-step explanation:

Substitute the point into each equation and see if it gives a true statement

y = -5x+1

8 = -5(3) +1

8 = -15+1

8 = -14

False so this is not a solution

We do not need to check the second equation since the first is false

zubka84 [21]3 years ago
3 0

Answer:

no

Step-by-step explanation:

8= -5(3)+1 is not a true statement because it equals -14 not 8

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What is (3. 1 times 10 Superscript 5 Baseline) (2. 2 times 10 Superscript 7 Baseline) in scientific notation? 5. 5 times 10 Supe
Kobotan [32]

The sum of the numbers expressed in scientific notations is given by: Option B:  6.82 \times 10^{12}

<h3>How does scientific notations work?</h3>

The number is written in the form a \times 10^b  where we have 1 \leq a < 10

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

  • Better readability due to compact representation
  • Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

The given expression is:

(3.1 \times 10^5) \times (2.2 \times 10^7)

Evaluating the multiplication, we get:

3.1 \times 2.2 \times 10^5 \times 10^7 = 6.82 \times 10^{5 +7} = 6.82 \times 10^{12}

It is because of exponent rule that a^b \times a^c = a^{b+c}, and because of commutative property of addition.

Thus, the sum of the numbers expressed in scientific notations is given by: Option B:  6.82 \times 10^{12}

Learn more about scientific notation here:

brainly.com/question/3112062

3 0
2 years ago
Hurry please!!!! I can’t decide
sesenic [268]

Answer:

Change 2 to 3 and the last one will be 2

Step-by-step explanation:

I believe a triangular prism will be 1/2 instead of 1/3 because of the side differences between a triangular prism and a Pyramid

Hope this Helped

4 0
2 years ago
Describe the difference between the value of x in a binomial distribution and in a geometric distribution.
IceJOKER [234]

Answer:

A. In a binomial distribution, the value ofx represents the number of successes in n trials, while in a geometric distribution, the value ofx represents the first trial that results in a success.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

P(X=x)=(1-p)^{x-1} p

The most important difference is that in the binomial distribution, the value of x represents the successes in n trials.

And by the other hand in the geometric distribution, x represents the number of failures before you get a success in a series of Bernoulli trials.

So then the best answer for this case is:

A. In a binomial distribution, the value of x represents the number of successes in n trials, while in a geometric distribution, the value ofx represents the first trial that results in a success.

7 0
3 years ago
What’s the factory of 15y - 21z
Digiron [165]

Answer:

3(5y-7z)

Step-by-step explanation:

3x5=15

7x3=21

7 0
2 years ago
Read 2 more answers
Last Friday Kevin had $2. Over the weekend he found some money in his old jeans. He now has $10. How much money did he find?
Likurg_2 [28]
He found $8. Explanation: 10-2=8
8 0
3 years ago
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