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3 years ago

What is the domain of the function RX) = x2 + 3x + 5?

Mathematics

2 answers:

Free_Kalibri [48]3 years ago

8 0

Answer:

all real numbers

Step-by-step explanation:

The domain is the numbers that the input, x, can take

We can put in any real number for x since there are no restrictions on the input

Natalija [7]3 years ago

8 0

Answer:

option D is domain

Step-by-step explanation:

because no change is happen in range by keeping any real number

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What is the quotient of StartFraction 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline EndFraction? Star

Arte-miy333 [17]

Answer:

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

Part I: Measuring Parts of a Circle

cluponka [151]

Answer:

case a) The approximate circumference of circle is $5.9\ units$ and the ratio of circumference to Diameter is $\frac{C}{D}=2.95$

case b) The approximate circumference of circle is $6\ units$ and the ratio of circumference to Diameter is $\frac{C}{D}=3$

case c) The approximate circumference of circle is $6.24\ units$ and the ratio of circumference to Diameter is $\frac{C}{D}=3.12$

Step-by-step explanation:

we know that

The approximate circumference of each circle, is equal to the perimeter of each inscribed polygon

case A) the figure is an inscribed pentagon

step 1

Find the approximate circumference of circle

The perimeter of the pentagon is equal to

$P=5s$

where

$s=1.18\ units$

substitute

$P=5(1.18)=5.9\ units$

therefore

The approximate circumference of circle is $5.9\ units$

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

$D=2r=2(1)=2\ units$

The ratio is equal to

$\frac{C}{D}=5.9/2=2.95$

case B) the figure is an inscribed hexagon

step 1

Find the approximate circumference of circle

The perimeter of the hexagon is equal to

$P=6s$

where

$s=1\ units$

substitute

$P=6(1)=6\ units$

therefore

The approximate circumference of circle is $6\ units$

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

$D=2r=2(1)=2\ units$

The ratio is equal to

$\frac{C}{D}=6/2=3$

case C) the figure is an inscribed dodecahedron

step 1

Find the approximate circumference of circle

The perimeter of the dodecahedron is equal to

$P=12s$

where

$s=0.52\ units$

substitute

$P=12(0.52)=6.24\ units$

therefore

The approximate circumference of circle is $6.24\ units$

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

$D=2r=2(1)=2\ units$

The ratio is equal to

$\frac{C}{D}=6.24/2=3.12$

<em>Conclusion</em>

We know that

The exact value of the ratio $\frac{C}{D}$ is equal to

$\frac{\pi D}{D}=\pi$

The approximate value of the circumference will be closer to the real one when the number of sides of the inscribed polygon is greater

4 0

4 years ago

Apply green’s theorem to evaluate the integral 3ydx 2xdy

Ne4ueva [31]

The value of the integral 3ydx+2xdy using Green's theorem be - xy

The value of $\int\limits_c 3ydx+2xdy$ be -xy

<h3>What is Green's theorem?</h3>

Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D bounded by C.

If M and N are functions of (x, y) defined on an open region containing D and having continuous partial derivatives there, then

$\int\limits_c Mdx+Ndy$ = $\int\int\〖(N_{x}-M_{y}) \;dxdy$

Using green's theorem, we have

$\int\limits_c Mdx+Ndy$ = $\int\int\〖(N_{x}-M_{y}) \;dxdy$ ............................... (1)

Here $N_{x}$ = differentiation of function N w.r.t. x

$M_{y}$ = differentiation of function M w.r.t. y

Given function is: 3ydx + 2xdy

On comparing with equation (1), we get

M = 3y, N = 2x

Now, $N_{x}$ = $\Luge\frac{dN}{dx}$

= $\frac{d}{dx} (2x)$

= 2

and, $M_{y}$ = $\Huge\frac{dM}{dy}$

= $\frac{d}{dy} (3y)$

= 3

Now using Green's theorem

= $\int\int\〖(2 -3) dx dy$

= $\int\int\ -dxdy$

= $-\int\ x dy$

= $-xy$

The value of $\int\limits_c 3ydx+2xdy$ be -xy.

Learn more about Green's theorem here:

brainly.com/question/14125421

#SPJ4

3 0

2 years ago

Graph the equation y=x+3

Mars2501 [29]

Graph of the equation y=x+3 is shown

8 0

3 years ago

A rectangular garden has a length that is six feet more than twice its width. It takes 120 feet of fencing to completely enclose

vichka [17]

Step-by-step explanation:

let width = w then length, l = 2w + 6

$2w + 2(2w + 6) = 120$

a rectangular garden has two pairs of equal parallel sides 2w and 2l. here we multiply 2 by the width and 2 by the length which is given as 6 more than twice the width or 2w + 6. we then add these sides to get 120

$2w + 2(2w + 6) = 120 \\ 2w + 4w + 12 = 120 \\ 6w + 12 = 120 \\ 6w + 12 - 12 = 120 - 12 \\ 6w = 108 \\ \frac{6w}{6} = \frac{108}{6 } \\ w = 18$

check

$width = w = 18\\ length \: l = 2w + 6 = 2(18) + 6 = 42\\ w + w + l + l = 120\\ 2w + 2l = \\ 2(18) + 2(42) = \\ 36 + 84 = 120$

7 0

3 years ago