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3 years ago

For what numbers x, -2π ≤ x ≤ 2π, does the graph of y = csc(x) have vertical asymptotes?

1 answer:

8 0

Well tan x has asymptotes every 90 degrees, or in radian mode, every pi divided by two. since cot is the inverse and the aymsptotes land on every 180 degrees, meaning the equation can be x ≠ \pi n, nEI

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The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so th

Reptile [31]

Answer:

<em>The least number of items to produce is 41</em>

Step-by-step explanation:

<u>Average Cost</u>

Given C(x) as the cost function to produce x items. The average cost is:

$\displaystyle \bar C(X)=\frac{C(x)}{x}$

The cost function is:

$C(x) = -20x+1681$

And the average cost function is:

$\displaystyle \bar C(X)=\frac{-20x+1681}{x}$

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.

We set the inequality:

$\displaystyle \frac{-20x+1681}{x}\le 21$

Multiplying by x:

$-20x+1681 \le 21x$

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.

Adding 20x:

$1681 \le 21x+20x$

$1681 \le 41x$

Swapping sides and changing the sign:

$41x \ge 1681$

Dividing by 41:

$x\ge 41$

The least number of items to produce is 41

8 0

2 years ago

How many times can 27 go into 224

otez555 [7]

Answer:

27 can go into 224 8 times by dividing 224 by 27 .

7 0

2 years ago

Read 2 more answers

Select the correct answer.

alekssr [168]

Using scientific notation, the correct statement is given by:

C. Corporation C owns the most land. Corporation A owns 8 times more land than corporation B.

<h3>What is scientific notation?</h3>

A number in scientific notation is given by:

$a \times 10^b$

With the base being $a \in [1, 10)$ .

Considering the amounts in scientific notation, the standard amounts in acres of each corporation are given as follows:

Corporation A: $3.2 \times 10^5 = 320000 = 320,000$ .

Corporation B: $4 \times 10^4 = 40000 = 40,000$ .

Corporation C: $4.3 \times 10^5 = 430000 = 430,000$ .

Hence corporation C owns the most land. 320,000/40,000 = 8, hence Corporation A owns 8 times more land than corporation B, and statement C is correct.

More can be learned about scientific notation at brainly.com/question/16394306

#SPJ1

3 0

1 year ago

What is y-4= -2(x+7) written in standard form

belka [17]

Answer:

2x + y = -10

Step-by-step explanation:

Simplify −2(x+7)

y−4=−2x−14

Move all terms containing variables to the left side of the equation.

2x+y−4= −14

Move all terms not containing a variable to the right side of the equation.

2x + y = −10

Hope this helps

7 0

2 years ago

1a. Write the equation: You work during the summer mowing lawns. You charge 13

iragen [17]

Answer:

819÷13=63

Step-by-step explanation:

you divide 819 by 13 and you get 63

7 0

2 years ago

Read 2 more answers