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Mandarinka [93]
3 years ago
10

Identify the domain of this relation. {(7,9), (4,6), (8, -10), (5, -7)}

Mathematics
1 answer:
IrinaK [193]3 years ago
3 0
The domain is 7,4,8,5
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Math:
Dahasolnce [82]

Answer:

a) x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}, x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}, b) x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}, x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

Step-by-step explanation:

a) The equation must be rearranged into a form with one fundamental trigonometric function first:

\sqrt{3}\cdot \csc x - 2 = 0

\sqrt{3} \cdot \left(\frac{1}{\sin x} \right) - 2 = 0

\sqrt{3} - 2\cdot \sin x = 0

\sin x = \frac{\sqrt{3}}{2}

x = \sin^{-1} \frac{\sqrt{3}}{2}

Value of x is contained in the following sets of solutions:

x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}

x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

b) The equation must be simplified first:

\cos x + 1 = - \cos x

2\cdot \cos x = -1

\cos x = -\frac{1}{2}

x = \cos^{-1} \left(-\frac{1}{2} \right)

Value of x is contained in the following sets of solutions:

x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}

x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

7 0
3 years ago
Pls answer 20 pts and hurry cause i have more
Rom4ik [11]
Answer: the lower left data set matches the line plot, or the one with the most values
3 0
3 years ago
Read 2 more answers
How many centimeters are there in 1/5 of an inch
Lynna [10]

Answer:

0.508

Step-by-step explanation:

4 0
3 years ago
It takes 4 3/8 cups of cheese,7/8 cups of olives,and 2 5/8 cups of sausage to make a signature pizza. How much cheese is needed
Crank

43\frac{3}{4} cups of cheese is needed to make 10 pizzas.

<u><em>Explanation</em></u>

For making one pizza, amount of cheese needed = 4\frac{3}{8} cups = \frac{35}{8} cups.

Now for finding the total amount of cheese needed to make 10 pizzas, we need to <em>multiply \frac{35}{8} cups by 10. </em>

So, (\frac{35}{8}*10)cups= \frac{350}{8}cups= \frac{175}{4}cups= 43\frac{3}{4} cups

Thus, 43\frac{3}{4} cups of cheese is needed to make 10 pizzas.

0 0
3 years ago
What is the inverse of the given relation? y = 4x - 8
Aleks [24]
Let y be x, and x be y.

x = 4y - 8

Rearrange to make y the subject.

x + 8 = 4y

Therefore

y = (x + 8) / 4

is the inverse.
4 0
3 years ago
Read 2 more answers
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