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3 years ago

Graph each equation using a table. 5x + 4y = 20

Mathematics

1 answer:

-Dominant- [34]3 years ago

5 0

Answer:

Brainliest Please!!

Step-by-step explanation:

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Slope of (0,45) (6,33) (15,15)

Vladimir [108]

Answer:

The slope is -2

Step-by-step explanation:

Given

$(x_1,y_1) = (0,45)$

$(x_2,y_2) = (6,33)$

$(x_2,y_3) = (15,15)$

Required

The slope (m)

Slope is calculated as:

$m = \frac{y_2 -y_1}{x_2 - x_1}$

So, we have:

$m = \frac{33 -45}{6 - 0}$

$m = \frac{-12}{6}$

$m =-2$

4 0

3 years ago

Surface integrals using an explicit description. Evaluate the surface integral \iint_{S}^{}f(x,y,z)dS using an explicit represen

Jobisdone [24]

Parameterize $S$ by the vector function

$\vec r(x,y)=x\,\vec\imath+y\,\vec\jmath+f(x,y)\,\vec k$

so that the normal vector to $S$ is given by

$\dfrac{\partial\vec r}{\partial x}\times\dfrac{\partial\vec r}{\partial y}=\left(\vec\imath+\dfrac{\partial f}{\partial x}\,\vec k\right)\times\left(\vec\jmath+\dfrac{\partial f}{\partial y}\,\vec k\right)=-\dfrac{\partial f}{\partial x}\vec\imath-\dfrac{\partial f}{\partial y}\vec\jmath+\vec k$

with magnitude

$\left\|\dfrac{\partial\vec r}{\partial x}\times\dfrac{\partial\vec r}{\partial y}\right\|=\sqrt{\left(\dfrac{\partial f}{\partial x}\right)^2+\left(\dfrac{\partial f}{\partial y}\right)^2+1}$

In this case, the normal vector is

$\dfrac{\partial\vec r}{\partial x}\times\dfrac{\partial\vec r}{\partial y}=-\dfrac{\partial(8-x-2y)}{\partial x}\,\vec\imath-\dfrac{\partial(8-x-2y)}{\partial y}\,\vec\jmath+\vec k=\vec\imath+2\,\vec\jmath+\vec k$

with magnitude $\sqrt{1^2+2^2+1^2}=\sqrt6$ . The integral of $f(x,y,z)=e^z$ over $S$ is then

$\displaystyle\iint_Se^z\,\mathrm d\Sigma=\sqrt6\iint_Te^{8-x-2y}\,\mathrm dy\,\mathrm dx$

where $T$ is the region in the $x,y$ plane over which $S$ is defined. In this case, it's the triangle in the plane $z=0$ which we can capture with $0\le x\le8$ and $0\le y\le\frac{8-x}2$ , so that we have

$\displaystyle\sqrt6\iint_Te^{8-x-2y}\,\mathrm dx\,\mathrm dy=\sqrt6\int_0^8\int_0^{(8-x)/2}e^{8-x-2y}\,\mathrm dy\,\mathrm dx=\boxed{\sqrt{\frac32}(e^8-9)}$

5 0

3 years ago

10 i

salantis [7]

Answer:

opposite sides parallel and congruent theorum

Step-by-step explanation:

4 0

2 years ago

a survey was done Of 600 shoppers at a grocery store to determine if they like a new flavor Of potato chip. Of the 600 shoppers,

olasank [31]

Answer:

63%

225 buyers

Step-by-step explanation:

To find the percent take the number that liked it over the total

376/600

Change to decimal form

.62666666

Change to percent by multiplying by 100

62.66666666%

The nearest percent is 63%

37.5 % would but it then multiply by the number of shoppers

37.5 % ( 600)

Change to decimal form

.375 * 600

225

7 0

3 years ago

Can some one help me.

alina1380 [7]

Answer:

x = ± 2, x = 3

Step-by-step explanation:

note that x = 2 gives

2³ - 3(2)² - 4(2) + 12 = 8 - 12 - 8 + 12 = 0

Hence x = 2 is a root and (x - 2) is a factor

x³ - 3x² - 4x + 12 ÷ (x - 2)

= (x - 2)(x² - x - 6)

= (x - 2)(x + 2)(x - 3), hence

(x - 2)(x + 2)(x - 3) = 0

equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x + 2 = 0 ⇒ x = - 2

x - 3 = 0 ⇒ x = 3

3 0

3 years ago

Read 2 more answers