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ira [324]
2 years ago
15

What is the domain of y = sec(x)?

Mathematics
2 answers:
Andrei [34K]2 years ago
5 0

Answer:

\mathbb{R}-(n\pi+\frac{\pi}{2})

Step-by-step explanation:

We have, \text{y}=\text{sec} x

This can also be written as \text{y}=\frac{1}{\text{cos} x}

For this to be defined, \text{cos}x\neq 0

So, the function is defined for all real numbers except when \text{cos}x=0

i.e., for x=(2n+1)\frac{\pi }{2}\text{or}x=n\pi+\frac{\pi}{2}

Therefore, the domain of \text{y}=\text{sec} x is \mathbb{R}-(n\pi+\frac{\pi}{2})

OLEGan [10]2 years ago
3 0
<span>What is the domain of y = sec(x)?

Domain:
</span><span>All real numbers except pi/1 + n*Pi
</span>
Range:
<span>(-inf , -1] U [1 , + inf)</span>
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Which region represents the solution to the given system of inequalities?
Phoenix [80]

Answer: The intersection region shown in the graph attached is the solution of the system of inequalities.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

 Given the following system of inequalities:

\left \{ {{x+3y\leq-3 } \atop {x\geq3 }} \right.

We need to graph the lines.

We have the line:

x+3y=-3

Solving for "y", we get:

3y=-x-3\\\\y=\frac{1}{3}x-1

Knowing that m=-\frac{1}{3} and b=-1, we can graph it.

Since the symbol is \leq, the line must be solid.

The other line is:

x=3

Since "x" only takes one value, we can identify that it is a vertical line, so we can graph it.

Since the symbol is \geq, the line must be solid.

We need to substitute a point that is not on the line, into each inequalities. Let's choose the point (0,0).

Then:

0+3(0)\leq-3\\\\0\leq-3

This is false, therefore, we must shade the half that does not contain this point.

0\geq 3

This is false, so we must shade the half that does not contain this point.

The intersection region of the solutions (Observe the graph attached) of the given inequalities is the solution of the system of inequalities.

8 0
3 years ago
Read 2 more answers
Apa-bear weighs 250 lb. Mama-bear weighs 50 pounds less than Papa-bear does. Their 2 cubs weigh 80 pounds each. What is the tota
o-na [289]

Given :

Apa-bear weighs 250 lb.

Mama-bear weighs 50 pounds less than Papa-bear does.

Their 2 cubs weigh 80 pounds each.

To Find :

The total weight of the Bear family .

Solution :

Weight of mama bear = 250-50\ lb=200\ lb .

Total weight is the sum of all all weight .

W=\text{Weight of papa-bear + weight of mama-bear + weight of 2 cubs}

W=250+200+2\times 80\\\\W=250+200+160\\\\W=610 \ lb

Therefore , total weight of the Bear family is 610 lb .

Hence , this is the required solution .

5 0
3 years ago
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS
Contact [7]

Answer:

C

Step-by-step explanation:

There is a common ratio between consecutive terms

r = 24 ÷ 16 = 36 ÷ 24 = 54 ÷ 36 = 1.5 = \frac{3}{2}

This indicates the sequence is geometric with nth term ( explicit formula )

f(n) = a₁(r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 16 and r = \frac{3}{2} , then

f(n) = 16 (\frac{3}{2}) ^{n-1} → C

6 0
2 years ago
Subtract.<br> (6x + 5) - (x+3)
Roman55 [17]

(6x+5)-(x+3).

6x+5-x-3.

Add the like terms.

6x-x+5-3.

We get.

5x+2.

6 0
2 years ago
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What does the electronic fund transfer act do?​
sammy [17]

Answer: The Electronic Funds Transfer Act is a federal law that protects consumers engaged in the transfer of funds through electronic methods. This includes the use of debit cards, automated teller machines and automatic withdrawals from a bank account.

Step-by-step explanation:

7 0
2 years ago
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