All categories

1 year ago

NEED HELP ASAP!!!!!!!!!!

Mathematics

1 answer:

OLga [1]1 year ago

8 0

Answer:

Question 1)

The graph of $y=\dfrac{2}{x}$ is attached to the answer.

The graph of such a functio lies in first and third quandrant such that the graph tends to 0 when x→∞ or when x→-∞ and graph tends to ∞ when x→0.

We can also show the values of this equation on a table:

 x-values  y-values

1/2 4

1 2

2 1

3 2/3

Question 2)

The graph of the equation $y=x^{2}+2x-3$ is attached to the answer.

we will get a upward parabola with this equation whose vetex is: (-1,-4).

The ordered pair on the graph could be shown with the help of a table:

x-values  y-values

-1 -4

0 -3

-3 0

1 0

You might be interested in

Consider the function represented by the equation y-6x-9=0. Which answer shows the equation written in function notation with x

spin [16.1K]

we have

$y-6x-9=0$

Step $1$

Clear the variable y

$y-6x-9=0$

Adds $(6x+9)$ both sides

$y-6x-9+(6x+9)=0+(6x+9)$

$y=(6x+9)$

Step $2$

Convert in function notation

Let

$f(x)=y$

$f(x)=(6x+9)$

therefore

the answer is

$f(x)=(6x+9)$

6 0

2 years ago

Read 2 more answers

How many 4/5 cup servings are in 4/9 of a cup of yogurt

kolbaska11 [484]

For this question, you need to understand how to divide fractions.First we line up our fractions appropriately:
4/9 ÷ 4/5 = ? (You want to divide 4/9 by 4/5)
4/9 × 5/4 = ? (Now we use the reciprocal of 4/5 and multiply instead of divide)
4 x 5 = 20 and 9 x 4 = 36. (Cross multiply.)
20/36 = 5/9. (Simplify to lowest terms.)
So, 4/9 divided by 4/5 is 5/9!But 5/9 is more than 4/9, so the answer is 0 :PCorrect me if I'm wrong.

5 0

1 year ago

Read 2 more answers

Use polar coordinates to find the volume of the given solid. bounded by the paraboloid z = 9 + 2x2 + 2y2 and the plane z = 15 in

mina [271]

Answer:

Z = 8 + 2x2 + 2y2

Convert to polar coordinates

Z = 8 + 2r2

Now theta will go from 0 to pi/2 because it's in the first quadrant.

R will go from 0 to the radius of the circle formed at the intersection of the plane and the paraboloid.

14 = 8 + 2r2

r = sqrt(3)

So r goes from 0 to sqrt(3).

You integrate 14-z where 0<r<sqrt(3) and 0<theta<pi/2.

It is 14-z and not z because just z would give the volume under the paraboloid.

Step-by-step explanation: please go answer my recent question

5 0

1 year ago

F⃗ (x,y)=−yi⃗ +xj⃗ f→(x,y)=−yi→+xj→ and cc is the line segment from point p=(5,0)p=(5,0) to q=(0,2)q=(0,2). (a) find a vector pa

DerKrebs [107]

a. Parameterize $C$ by

$\vec r(t)=(1-t)(5\,\vec\imath)+t(2\,\vec\jmath)=(5-5t)\,\vec\imath+2t\,\vec\jmath$

with $0\le t\le1$ .

b/c. The line integral of $\vec F(x,y)=-y\,\vec\imath+x\,\vec\jmath$ over $C$ is

$\displaystyle\int_C\vec F(x,y)\cdot\mathrm d\vec r=\int_0^1\vec F(x(t),y(t))\cdot\frac{\mathrm d\vec r(t)}{\mathrm dt}\,\mathrm dt$

$=\displaystyle\int_0^1(-2t\,\vec\imath+(5-5t)\,\vec\jmath)\cdot(-5\,\vec\imath+2\,\vec\jmath)\,\mathrm dt$

$=\displaystyle\int_0^1(10t+(10-10t))\,\mathrm dt$

$=\displaystyle10\int_0^1\mathrm dt=\boxed{10}$

d. Notice that we can write the line integral as

$\displaystyle\int_C\vecF\cdot\mathrm d\vec r=\int_C(-y\,\mathrm dx+x\,\mathrm dy)$

By Green's theorem, the line integral is equivalent to

$\displaystyle\iint_D\left(\frac{\partial x}{\partial x}-\frac{\partial(-y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=2\iint_D\mathrm dx\,\mathrm dy$

where $D$ is the triangle bounded by $C$ , and this integral is simply twice the area of $D$ . $D$ is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.

4 0

1 year ago

The pie chart shows how 36 pupils travel to school.

Masja [62]

Answer:

bus = (120/360) × 36

= 12 pupils

walk = (90/360) × 36

= 9 pupils

4 0

2 years ago

Read 2 more answers