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Andrew [12]
3 years ago
15

Can anybody help me with this problem?

Mathematics
1 answer:
vazorg [7]3 years ago
8 0

Answer:

1

Explanation:

According to the Unit Circle, sin π\6 is ½, so we plug this into the cosine function to get this:

cos π\6 - π\6 → cos 0 >> 1

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

** I do not have Unit Circle video uploaded yet, but if I need to, just notify me in the comments or on of course, You-Tube.

*** Plus, we need to make sure that the x-value falls in between 0 and π\2, which it did, so no need to worry.

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Determine whether the graph represents a function . If it does represent a function , give its domain and range.
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Answer:

A function is a relationship that maps elements from a set (the domain) into elements from another set (the range)

Such that each element in the domain can be mapped into only one element from the range.

Let's see graphs 18, 20,24 and 30.

Remember that the axis that represents the domain is the horizontal one (usually represented with x), and the vertical axis represents the range (usually represented with y)

18) Here we can see that the point x = 1 his mapped into two different values of y.

we have the pair (1, 2) and the pair (1, -3)

And something similar happens for x = 2.

Then we can conclude that this is not a function.

20) Here we have a linear relationship.

Linear relationships are almost always functions, the only case when these are not functions is when the linear equation is something like x = a.

Linear equations can be written as:

y = a*x + b

So x can be any value, and thus y also can be any value.

Then the domain is the set of all real numbers, and the range is the set of all real numbers.

24) Here we have a quadratic function whose arms go down.

This is a function, now let's see the domain and range.

Quadratic functions are written as:

y = a*x^2 + b*x + c

There is no value of x can cause some problem in this equation, then this function works for all values of x, then the domain is the set of all real numbers.

Now, let's look at the graph.

We can see that the function goes up, reaches a maximum, and then goes down again.

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y ∈ (-∞, 15]

or simply:

y ≤ 15.

30) Here again, we can see that for x = 0 there are two different values of y.

the same happens for x = -1, x = -2, and a lot of other values.

Then this is not a function, because it is mapping values of the domain into different values of the range.

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there are 30 major league baseball (MLB) teames and 32 National football League (NFL) teams. The expanded roster for MLB teams i
maria [59]
40 players multiplied by 30 teams = 1,200 players in the MLB
53 players multiplied by 32 teams = 1,696 players in the NFL.
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Another landscape architect recommends installing a triangular statue
Dima020 [189]

Answer:

A landscape architect recommends installing a triangular statue with

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a. Is the triangle congruent to triangle T ? Justify your answer.

b. Propose a series of rigid motions that justifies your answer to part a.

6. Another landscape architect recommends installing a triangular statue

Step-by-step explanation:A landscape architect recommends installing a triangular statue with

vertices at (10, −10), (10, −8), and (7, −10).

a. Is the triangle congruent to triangle T ? Justify your answer.

b. Propose a series of rigid motions that justifies your answer to part a.

6. Another landscape architect recommends installing a triangular statue

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Answer:

As the principal, interest rate, and compound periods increase, so does the future value of an investment. It doesn't matter if you are just putting some money into short-term, low rate savings accounts or CDs or long-term, higher return investments, compound interest will work for your benefit if you allow it.

Step-by-step explanation:

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3X = 3(45) = 135.

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