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antiseptic1488 [7]

3 years ago

6

Y={1 if x is rational 0 if x is irrational How would you describe it's graph?

1 answer:

Setler [38]3 years ago

6 0

The set of rational plus irrational numbers equals ALL REAL NUMBERS

Yes, it is a function because every x-value maps into only one y-value. In other words, because rational and irrational are mutually exclusive, x does not map into both 0 and 1

Domain is all real numbers.

Range is 0 or 1

y-intercept happens when x=0, so that is a rational number and y = 1

There are an infinite number of x-intercepts. Every irrational number is an x-intercept

Neither even or odd because it is not symmetric with either the y-axis or the origin.

The graph jumps between y=0 and y=1

Hope that helps Answer:

Step-by-step explanation:

You might be interested in

In the figure, triangle CAE is an enlargement of triangle CBD with scale factor of 4/3. The area of the smaller triangle is 9cm2

balandron [24]

Answer:

16 cm^2

Step-by-step explanation:

Given

$\triangle CAE$ -- Bigger Triangle

$\triangle CBD$ -- Smaller Triangle

$k = \frac{4}{3}$ --- Scale factor

Area of CBD = 9

Required

Determine the area of CAE

The area of triangle CBD is:

$A_1 = \frac{1}{2}bh$

$\frac{1}{2}bh = 9$

The area of CAE is:

$A_2 = \frac{1}{2}BH$

Where:

$B = \frac{4}{3}b$ and

$H = \frac{4}{3}h$

The above values is the dimension of the larger triangle (after dilation).

So, we have:

$A_2 = \frac{1}{2}*\frac{4}{3}b * \frac{4}{3} * h$

$A_2 = \frac{1}{2}*\frac{4}{3} * \frac{4}{3} *b* h$

$A_2 = \frac{1}{2}*\frac{16}{9} *b* h$

Re-order

$A_2 = \frac{16}{9}*\frac{1}{2}* b* h$

$A_2 = \frac{16}{9}*\frac{1}{2}bh$

Recall that:

$\frac{1}{2}bh = 9$

$A_2 = \frac{16}{9}*9$

$A_2 = 16$

Hence, the area is 16 cm^2

3 0

3 years ago

The length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle 0, is 1.42. What is t

larisa86 [58]

Answer:

16.4 feet.

Step-by-step explanation:

We have been given that the length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle $\theta$ , is 1.42. We are asked to find the length of the side opposite angle $\theta$ .

We can represent our given information in an equation as:

$\text{tan}(\theta)=1.42$

Now, we will use arctan to solve for theta as:

$\theta=\text{tan}^{-1}(1.42)$

$\theta=54.85^{\circ}$

Now, we will use sine to solve for opposite side as sine relates opposite side of right triangle with hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{hypotenuse}}$

$\text{sin}(54.85^{\circ})=\frac{\text{Opposite}}{20}$

$20\cdot \text{sin}(54.85^{\circ})=\text{Opposite}$

$20\cdot 0.81764=\text{Opposite}$

$\text{Opposite}=20\cdot 0.81764$

$\text{Opposite}=16.3528$

$\text{Opposite}=16.4$

Therefore, the opposite side to angle theta is 16.4 feet.

5 0

3 years ago

Read 2 more answers

16 inches to 5 feet as a fraction in simplest form.

stira [4]

Answer:

1 feet = 12 inches

therefore ,

5 feet = 5 × 12 = 60 inches

Now ,

16 inches to 60 inches ,

$\frac{16}{60} \div \frac{4}{4} = \frac{4}{15} \\$

hope helpful~

8 0

2 years ago

Read 2 more answers

Which fraction represents the ratio 9 to 6 in simplest form?

d1i1m1o1n [39]

You have to divide both 9 & 6 by their greatest common factor which is 3 so the answer is 3
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2

7 0

3 years ago

Calculate the distance between (4,6) (5,0)

kramer

The distance between two (4, 6) and (5, 0) is 6.08 units.

Solution:

The given points are (4, 6) and (5, 0).

$x_1=4, y_1=6, x_2=5, y_2=0$

<u>To find the distance between two points:</u>

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$d=\sqrt{(5-4)^2+(0-6)^2}$

$d=\sqrt{1^2+(-6)^2}$

The value of 1² = 1

The value of (–6)² = 36

$d=\sqrt{1+36}$

$d=\sqrt{37}$

d = 6.08

The distance between two (4, 6) and (5, 0) is 6.08 units.

5 0

3 years ago