Mathematics High School

What is the domain of y = tan x? A. (–∞, ∞) B. C. all D. all

Answers

Answer 1

Given:

The function is

[tex]y=\tan x[/tex]

To find:

The domain of the given function.

Solution:

We know that, domain is the set of x-values or input values.

We have,

[tex]y=\tan x[/tex]

[tex]y=\dfrac{\sin x}{\cos x}[/tex]

The functions sin x and cos x are defined for all real values of x. So, the function tan x is defined for all real values of x except those value for which cos x = 0.

So, domain is [tex]-\infty<x<\infty, x\neq \dfrac{\pi}{2}+n\pi[/tex].

Note: All options are incorrect.

Answer 2

Answer:

Step-by-step explanation:

all x≠pi/2+pi n

Related Questions

Can some explian this?

Answers

Answer: it’s asking where do the points meet at hopes this helps

Step-by-step explanation:

complete the equation of the line whose y-intercept is (0, -1) and the slope is 4

Answers

Answer:

y=4x-1

Step-by-step explanation:

We know that the slope equation is y=mx+b. M is the slope and B is the y-intercept. M is provided to be 4 and B is provided to be -1, so all we have to do is plug them in to get the answer.

Answer:

y = 4x - 1

Step-by-step explanation:

Slope-intercept form:

y = mx + b

So, input all the values...

y = 4x - 1

Hope this helps :)

Let me know if there are any mistakes!!

(06.04 MC)

Suzie drew the line of best fit on the scatter plot shown.

A graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 15 at increments of 1. The ordered pairs 0, 3 and 1, 3 and 2, 4 and 3, 7 and 4, 6 and 5, 8 and 6, 10 and 7, 10 and 8, 12 and 9, 14 and 10, 15 are shown on the graph. A straight line joins the ordered pairs 0, 3 and 10, 15.

What is the approximate equation of this line of best fit in slope-intercept form?

y = 6 over 5x + 3
y = 3x + 6 over 5
y = 5 over 6x + 3
y = 3x + 5 over 6

Answers

Answer:

1: y = 6/5x + 3

Step-by-step explanation:

I am just guessing I am not completely sure on this answer but I hope it helps.

Answer:

Step-by-step explanation:

I need help................

Answers

Answer:

1. c=1

2.y=2

3.a=4

4. m=10

5. x=2

6. q=11

7.n=39

8. r=17

9. t=14

10. p=5

Step-by-step explanation:

1. 9c=9

c=1

2. 6y=12

y=2

3. 3a=12

a=4

4. m/5=2

m=10

5. 7x=14

x=2

6. -q=-11

q=11

7. n-31=8

n=39

8. 2r=34

r=17

9. 3t=42

t=14

10. 4p=20

p=5

How would you define y-intercept?

Answers

Answer:

The y -intercept is a point of a graph. The y -intercept is of a graph is the point where the graph crosses the y -axis. The y -intercept is often referred to with just the y -value.

Sixteen plus five times a number is more than the number plus 32. Write an inequality and solve it.

Answers

Answer:

x>4

Step-by-step explanation:

16+5x>x+32

5x>x+16

4x>16

x>4

Answer: answer my question

Since its a hexagon the interior angles equal to 720 degrees.

Because (n-2)180 equals the number of sides. So, (6-2)180 = 720.

Now for x,

120 + 130 + 100 + x + 135 + 110 = 720

595 + x = 720

x = 125

The square below represents one whole.
What percent is represented by the shaded area?
Pls

Answers

the answer is 34%
the square is 10 by 10 so one whole equals 100%
there is 34 squares coloured in so it’s 34%

What is To visit his grandmother, Luis takes a train 6.376.376, point, 37 kilometers and a car 5.455.455, point, 45 kilometers.

Answers

Answer: 11.82 kilometers

Step-by-step explanation:

Question is:

How many kilometers is Luis's journey in total?

Luis travelled 6.37 kilometers by train. He also travels 5.45 kilometers by car.

The total travelled is therefore:

= 6.37 + 5.45

= 11.82 kilometers

Answer:

11.82

Step-by-step explanation:

the massive rear tire of a tractor rotates and moves the tractor 100 yards across a field in 4 minutes. Determine the linear velocity of the outer edge of the massive tire. Is the linear velocity of the outer edge of the smaller tire faster or slower than the massive tire? Which has a greater angular velocity?

Answers

9514 1404 393

Answer:

a) 25 yards per minute

b) linear velocity is the same

c) smaller tire has greater angular velocity

Step-by-step explanation:

a) The linear velocity of the edge of the tire is the same as the linear velocity of the tractor: (100 yd)/(4 min) = 25 yd/min

b) All parts of the tractor have the same linear velocity. The outer edge of the smaller tire is moving at the same linear velocity.

c) Because the smaller tire must make more turns to cover the same distance in the same time, its angular velocity (turns/time) is greater.

The smaller tire has greater angular velocity.

Find the slope and y-intercept of the line.
4)
m=
b=

Answers

Answer:

m=y = 2x + 4.

y intercept is 4

Step-by-step explanation:

Please help me it’s due today

Answers

Answer:

1.) slope=6/2 or 3 y-int =2 equation = y=3x+2

2.) slope = -10/1 or -10 y-int = 60 euation = y=-10x+60

Step-by-step explanation:

Slope is rise over run

y-intercept is when x =0

equation is y=mx+b

9. b) 140

Step-by-step explanation:

5.) x=8
8.) x=52
9a.) x 300 = 7/15
9b.) 140

PLEASE HELP, WILL REWARD BRAINIEST
Which one doesn't belong? Explain your reasoning

Answers

Answer:

A does not belong

Step-by-step explanation:

A does not belong because it is the only option with parallel lines. All other answer options have lines that intersect with eachother.

Answer:

The answer that they're looking for is A. The first set doesn't belong because it's the only one in which the lines are parallel.

However, one could argue that none of the others belong;

B is the only one with two lines instead of 3

C is the only one with three lines converging at the same point.

D is the only one with more than one point of intersection

But it is pretty clear that the answer sought is A. It's the only one with parallel lines.

Find the distance AB. Give your answers correct to 1 decimal place

Answers

Answer:

AB= 8.1

AB=7.8

Step-by-step explanation:

[tex]ab = \sqrt{ {(8 - 1)}^{2} + {(6 - 2)}^{2} } [/tex]

[tex] = \sqrt{ {7}^{2} + {4}^{2} } = \sqrt{49 + 16} [/tex]

[tex] = \sqrt{65} = 8.1[/tex]

[tex]ab = \sqrt{ {(6 - 1)}^{2} + {(2 - 8)}^{2} } [/tex]

[tex]= \sqrt{ {5}^{2} + { ( - 6)}^{2} } = \sqrt{25 + 36} [/tex]

[tex] = \sqrt{61} = 7.8[/tex]

Compare -4 and -9

Greater than or less than

Answers

-4 > -9

-4 is closer to 0 than -9
it is further right on the number line

-4 would be greater because -9 is more away from 0 and -4 is closer

Please help me!!!!!!!!

Answers

$5.95 is the answer for the problem

The sum of two numbers is 44 and the difference is 2 What are the numbers

Answers

Answer:

21 & 23

Step-by-step explanation:

44 ÷ 2 = 22

The two numbers are going to be close to 22.

21 + 23 = 44

32 - 21 = 2

Answer:

You can try to write two equation from the question

Call x a number and y the other.

The sum of them is 44: x + y = 44

The difference (substract) is 2: x - y = 2

System:

x+y=44

x-y = 2

You can just sum both equations, as the y disappear:

2x = 46

x =46/ 2 = 23

We replace in the equation:

23 - y = 2

y = 21

And we know the numbers are 21 and 23

Mrs. Cooper deposits $9,000 into an account that pays a simple interest of 4% per year. What is the total amount of money that will be in her account at the end of 6 years?

Answers

Answer:

Mrs.Cooper will have 11160.00 after 6 years

a. If a polygon is a square, then it is a rectangle.
CONVERSE:
Tor F?
b. If a polygon is a rectangle, then it has four 90°
angles.
CONVERSE:
Tor F?
c. If a shape is a rectangle, the formula for its area is
base times height.
CONVERSE:
Tor F?

Answers

Answer:

a. If a polygon is a rectangle, then it is a square

False

b. If a polygon has four 90 degree angles, then it is a rectangle

True

c. If the formula for a shape's area is base time height, it is a rectangle

False

Shelley wants to purchase a cell phone package, which includes a free phone. The cost of the package is $0.10 per minute, for the number of minutes she uses the phone, plus a base rate of $89.00.

Answers

Answer:

The function would be linear because the rate of change is constant.

Step-by-step explanation:

Given

[tex]Base= \$89.00[/tex]

[tex]Rate = \$0.10[/tex] per minute

See attachment for complete question and options

First, we write the function that calculates the cost (C(t)) for t minutes.

This is calculated as:

[tex]Cost = Base + Rate * t[/tex]

[tex]C(t) = 89.00 + 0.10 * t[/tex]

[tex]C(t) = 89.00 + 0.10t[/tex]

Rewrite as:

[tex]C(t) = 0.10t + 89.00[/tex]

A function that has the above format is referred to as a linear function which has the general format

[tex]f(x) = mx + b[/tex]

Where

m represents the slope/rate and it is constant

From the list of given options, (a) is correct.

Find the surface area of the prism

Answers

Answer:

Step-by-step explanation:

surface area=2[(12+6)/2×4]+(5+6+5+12)×3

=2[9×4]+28×3

=72+84

=156 in²

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