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3 years ago

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

Mathematics

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:

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Find the cost of painting a cubical block of side length 3.2 cm, if painting costs $5 per cm2.

SashulF [63]

<h3><u>Answer</u>:- </h3>

$\longrightarrow \sf \$ \: 307.2$

<h3><u>Solution:-</u></h3>

Since painting is done on outer surface of cubical block we will have to find its surface area which is given by-

$\green{ \underline { \boxed{ \sf{Surface \: area \:of \:Cube = 6a^2}}}}$

<u>where a is side of the cube </u>

$\begin{gathered}\\\quad \sf Surface \: area \:of \:Cube = 6\times(3.2)^2 \\\end{gathered}$

$\begin{gathered}\\\implies \quad \sf 6\times 3.2\times3.2 \\\end{gathered}$

$\begin{gathered}\\\implies \quad \sf 61.44 cm^2 \\\end{gathered}$

Now,

$\maltese \sf Cost \:of \:painting \: 1 \: cm² = \$ 5$

$\sf Cost \: of \: painting \: 61.44 \:cm²=61.44×5$

$\sf\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad=\$ 307.2$

$\leadsto$ Thus it would cost $ 307.2 to paint the entire cubical block.

3 0

3 years ago

Given: P is a point on the perpendicular bisector, I of MN.<br> Prove: PM = PN

Hatshy [7]

Answer:

Step-by-step explanation:

I can't make specific statements about the proof because the midpoint is missing.

Givens

There are two right angles created by where the perpendicular bisector meats MN. Both are 90 degrees.

MN is bisected by the point on MN where the perpendicular meets MN

The Perpendicular Bisector is is common to both triangles.

Therefore the two triangles are congruent by SAS

PM = PN Parts contained in Congruent triangles are congruent.

5 0

3 years ago

The length of a rectangle is five times its width.

Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

l = 5w

A = l*w

180 = 5w *w

180 = 5w^2

Divide each side by 5

180/5 = 5w^2 /5

36 = w^2

Taking the square root of each side

sqrt(36) = sqrt(w)^2

6 =w

l = 5w = 5*6 = 30

The perimeter is

P = 2(l+w)

P = 2(6+30) = 2(36) = 72

4 0

3 years ago

I GO WHAT I CALL 5 POINTS

OLga [1]

The last choice is the right answer. Curves do not have a constant rate of change.

5 0

3 years ago

If a translation takes triangle CAT to C'A'T', what is A'T'?

Marina86 [1]

Answer:

square root of 10

Step-by-step explanation:

since triangle CAT with vertex A at negative 2 comma 1, vertex T at negative 1 comma 4 and vertex C at 0 comma 0, side AT has a measure of square root of 10 units, side TC has a measure of square root of 17 units, and side AC has a measure of square root of 5 units, therefore the square root will be 10

7 0

3 years ago