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3 years ago

Need help with one and two

Mathematics

1 answer:

adoni [48]3 years ago

7 0

Answer:

(1) is a function, surjective aka onto,

not bijective aka one to one.

domain is {3,6,12,14,20,22},

range is {4,15,8,11}. More elements in domain means it can't possibly be one to one.

(2) is a relation but not a function, although its inverse is a function. There are fewer elements in the domain than the range, so a function could not be onto but would have to be into or injective.

The relation you get by restricting the domain to {1,19} is a function, injective, so that the image of the domain is a proper subset of the range.

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Answer:

The correct option is C: I = 10⁸I₀.

Step-by-step explanation:

The function of the Richter scale is:

$M_{(I)} = log(\frac{I}{I_{0}})$

Since the magnitude of the earthquake is 8.0, the relation between the intensity, I, with the intensity of the threshold quake, Io, is:

$8.0 = log(\frac{I}{I_{0}})$

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$I = 10^{8}I_{0}$

Therefore, the correct option is C: I = 10⁸I₀.

I hope it helps you!

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3 years ago

Steve has 2 cups of flour. One of his recipes requires cup of flour. What is the

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Answer:

Step-by-step explanation:

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At high school basketball game, the athletic department sold 250 tickets and brought in 837.50. Adult tickets cost $5 and studen

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Answer:

The system of equations is:

$a+s = 250\\5a+2.50s = 837.50$

Here a is the number of adult tickets and s is the number of student tickets

Step-by-step explanation:

We will use the given statements to make a system of equations for the given scenario.

First of all we have to decide which variables to be used.

Let a be the number of adult tickets and

Let s be the number of student tickets

So according to the statement that the department sold 250 tickets in total, the equation will be:

$a+s = 250$

This is equation one of the system of equations

According to the statement that cost of adult ticket is $5, total cost of adult tickets will be: $5a$

According to the statement that cost of student ticket is $2.50, total cost of student tickets will be: $2.50s$

The total earning was $837.50 so the second equation will be:

$5a+2.50s = 837.50$

Hence,

The system of equations is:

$a+s = 250\\5a+2.50s = 837.50$

Here a is the number of adult tickets and s is the number of student tickets

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Answer:

$5x(2x - 3)$

Step-by-step explanation:

The common factor of the expression is 5x

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