A coordinate plane with a line passing through (negative 4, 3), (0, 1), and (2, 0). What are the slope and y-intercept of the linear function graphed to the left?

The domain of [tex]tanx[/tex] is [tex]R - (n\pi -\frac{\pi }{2})[/tex].

The range of the given function [tex]y = tanx[/tex] is the set of all real numbers.

The domain of a function is the set of values that we are allowed to plug into our function.

The range of a function is the set of its possible output values.

According to the given question.

We have a function

[tex]y = tanx[/tex]

The above function can be written as

[tex]y = \frac{sinx}{cosx}[/tex]

⇒ [tex]tanx[/tex] is defined for all values except the values that makes [tex]cosx = 0[/tex], a fraction with denominator is not defined.

And we know that

[tex]cosx = 0 \ \forall \ x \in \frac{(2n+1)\pi }{2} \ where \ n \in Z[/tex]

Hence, for all these values, [tex]tanx[/tex] is not defined.

Therefore, the domain of [tex]tanx[/tex] is [tex]R - (n\pi -\frac{\pi }{2})[/tex].

Since, the domain of  [tex]tanx[/tex] is [tex]R - (n\pi -\frac{\pi }{2})[/tex], so when we input these values in the given function we get only real numbers.

Therefore, the range of the given function [tex]y = tanx[/tex] is the set of all real numbers.

Thus, option D and B are correct.

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Answer:

1/3 x 1/3 x 1/3(volume of small cube) = 1/27

2/3 x 7/3 x 4/3(volume of figure shown) = 2 2/27

Now we divide to see how many cubes can fit.:

2 2/27(make improper fraction) divided by 1/27 = 56 small little cubes can fit.

Answer:

1/2 or 50%

Step-by-step explanation:

good

Answer:

[tex]\dfrac{15}{2}[/tex]

Step-by-step explanation:

The average speed of the Erin is 120/16 mph

Here,

Numerator = 120

Denominator = 16

mph = miles per hour

We need to find an expression expressed as a decimal.

So,

[tex]\dfrac{120}{16}=\dfrac{2\times 3\times 2\times 2\times 5}{2\times 2\times 2\times 2}\\\\=\dfrac{15}{2}[/tex]

So, the final answer is [tex]\dfrac{15}{2}[/tex].

Answer:

0.0233

Step-by-step explanation:

We are told that 40% of students prefer to use pencils over pens for their assignments.

This means 40 out of 100 students prefer to use pencils over pens.

Thus, for the first draw, P(pencil over pens for first draw) = 40/100

Since person using pencil over pens is selected without replacement, then, we now have a sample space of 99;

Second draw; P(pencil over pens for 2nd draw) = 39/99

Similarly, for third draw; P(pencil over pens for 3rd draw) = 38/98

For fourth draw; P(pencil over pens for 4th draw) = 37/97

Thus;

probability that you randomly select four students and all four prefer to use pencils over pens is;

P(all four prefer pencils over pens) = (40/100) × (39/99) × (38/98) × (37/97) = 0.0233

Answer:

x is equal to 4.3

Step-by-step explanation:

since it's -4.3 + x is equal to 0

you take -4.3 to the other side of the equal sign which makes it positive and x is equal to 4.3

Answer:

y = -3/4x

Step-by-step explanation:

Round this value however you need to.

=====================================================

Explanation:

The given set of values is {11, 86, 46}

Add up the numbers to get 11+86+46 = 143

Then divide by 3 to get 143/3 = 47.667 approximately. We divided by 3 because there are 3 values in the given set.

Step-by-step explanation:

10x6s=60

100 divided by 60

=5/3 m/s  OR  1.6666666666666666666 m/s

Answer:

Answer

5.0/5

13

jack295

The answer is 8x +20

Answer:

14 - 2x

Step-by-step explanation:

4 - 2(x + 5)

4 - 2x + 10

14 - 2x

Answer:

the answer is 91,5007.50 dollars

Step-by-step explanation:

find the first year you would do 83,000 times 105% and that would equal 87,150 next you would do 87,150 times 105% and I would equal to 91,507.50

Answer:

83830

Step-by-step explanation:

because 5percent of 83000 is 412 and 412 plus 412 is 830 and plus 83830

Answer:

y=(x-1)(x-4) & 100°

Step-by-step explanation:

Graph

1) there are x-intercepts at 1 and 4so you set those equal to x

ex. x=1 x=4

2) then subtract them over to equal 0 and set it equal to y

ex. y=(x-1)(x-4)

Angle

*IMPORTANT* Straight lines are equal to 180°

∠CBD = 80°

1) So you just subtract ∠CBD from 180°

ex. 180° - 80° = 100°

Answer:

11.17 tonnes was in the fourth and final load.

Step-by-step explanation:

11.25 + 12.76 + 12.82 = 36.83 > total of the first 3 loads.

x = 4th load.

36.83 + x = 48

x = 48 - 36.83

x = 11.17

Answer:

V = 6 ft^3

Step-by-step explanation:

V = length * width * height

V = 1* 2* 3

V = 6 ft^3

Answer:

6 ft³

Step-by-step explanation:

V = lwh

V = 1 × 2 × 3

V = 6 ft³

Answer:

x - 15 120 9 18 12 33

y - 5 40 3 6 4 11

Step-by-step explanation:

x - 15 120 a a 12 33

y - 5 40 3 6 b d

x = 3y

When y = 5

x = 3y

x = 3 * 5

x = 15

When y = 40

x = 3y

x = 3 * 40

x = 120

When y = 3

x = 3y

x = 3 * 3

x = 9

When y = 6

x = 3y

x = 3 * 6

x = 18

When x = 12

x = 3y

12 = 3y

y = 12/3

y = 4

When x = 33

x = 3y

33 = 3y

y = 33/3

y = 11

Answer:

24 edges, 24 vertices, 8 faces - For that weird Cylender thing.

Step-by-step explanation:

There are six faces on sides (and two on both tops, these don´t have vertices or edges of their own), 4 edges on each one, 4 vertices on each one.

Answer:

There are 6 faces

One up one down one front one backs one right one left

12 edges and 8 ventricles

Answer:

Step-by-step explanation:

sin(x) = opposite over hypotenuse

= 3/(3sqrt(2))

= 1/sqrt(2)

= sqrt(2)/2

x = arcsin( sqrt(2)/2 )

= arcsin( sqrt(2)/2 )

= 45°

Answer:

[tex] { \tt{x + y + 2 = 0}} \\ y = - x - 2 \\ \\ { \tt{x + y - 2 = 0}} \\ y = - x + 2 \\ \\ { \tt{x - y - 2 = 0}} \\ - y = - x + 2 \\ y = x - 2[/tex]

Answer:

what r u asking?

Step-by-step explanation:

Cevap:

Salı

Adım adım açıklama:

İlk depozito (Pazartesi) = 8 lira

Günlük yatırılan miktar = 3 lira

74 liraya sahip olmak için gereken gün sayısı;

Gün sayısı = x olsun

8 + 3x = 74

3x = 74 - 8

3x = 66

x = 66 / 3

x = 22 gün

Pazartesiden 22 gün sonra; Salı gününe denk gelecek

The answer is A.

Step-by-step explanation:

Domain = all possible values of x

From the graph, we can tell that x can be any value as the graph goes on forever.

Hence Df = {x: x <== All real numbers}

Answer:

10/11×99=90

Step-by-step explanation:

10/11×99=90

20/20×99=99

12/7×99=169 5/7

16/15×99=105 3/5

Answer:

90, 99, 5/7, 3/5

Step-by-step explanation:

hope it helps!

Answer

V (-15,5)

S (-9,2)

T(-14,2)

U (-20,5)

your welcome:)

Answer:

A. Plane SXT, Plane PQR

B. Points S, R, and T

C. Line ST and Line PQ intersect [] Line PQ and Line YX intersect

Step-by-step explanation:

For the image below we decrypt ;

This is further explained below.

Generally, a Plane is simply defined as three noncollinear endpoints, two parallel lines,

If two or more points are located on the same straight line, they are said to be collinear.

In conclusion, Intersecting lines cuts across one or more lines to create an intercept

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Answer:

hopes this helps

Step-by-step explanation:

24/25

Your graph would be correct if the given equation was |x| = 5

This is because |x| describes the distance x is from zero, and asking |x| = 5 means we want to find which values are 5 units away from zero: those two values being 5 and -5.

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However, your teacher gave you instead |x| = -5. The distance cannot be negative, so |x| is never negative. Therefore, |x| = -5 has no solutions

The graph will simply be an empty number line with no points plotted on it.