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3 years ago

Simplify (3x – 5) + (5x + 1)

Mathematics

1 answer:

Archy [21]3 years ago

5 0

Answer:

8x-4

Step-by-step explanation:

(3x-5)+(5x+1)

=3x-5+5x+1

=8x-4

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According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11-6x8+x3-4x+3

e-lub [12.9K]

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11 - 6x8 + x3 - 4x + 3? ... According to the Rational Root Theorem, the following are potential roots of f(x) = 60x² - 57x - 18.

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3 years ago

How do you put pictures in this?

Nezavi [6.7K]

Answer:

There's an option to insert pictures. You have to click on a 'paper pin' like symbol

Step-by-step explanation:

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3 years ago

Courtney needs blue and brown ribbon to use to make a bow for a dress. According to her pattern she needs 11.2 inches of brown r

Stells [14]

Answer: Expression used to find the total ribbon she used = x+11.2

Explanation:

Let the length of blue ribbon to use to make a bow for a dress be x

And

The length of brown ribbon is used to make a bow for a dress = 11.2 inches

Expression need to find the total ribbon she used will be sum of blue and brown ribbon altogether

i.e. x+11.2 inches

So, the required expression will be x+11.2 inches

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3 years ago

Evaluate the surface integral. s (x + y + z) ds, s is the parallelogram with parametric equations x = u + v, y = u − v, z = 1 +

Stolb23 [73]

$S$ is given to be parameterized by

$\mathbf r(u,v)=\langle x(u,v),y(u,v),z(u,v)\rangle=\langle u+v,u-v,1+2u+v\rangle$

with $0\le u\le3$ and $0\le v\le2$ . We have

$\mathbf r_u=\langle1,1,2\rangle$
$\mathbf r_v=\langle1,-1,1\rangle$
$\mathbf r_u\times\mathbf r_v=\langle3,1,-2\rangle$
$\left\|\mathbf r_u\times\mathbf r_v\right\|=\sqrt{14}$

The surface integral is then

$\displaystyle\iint_S(x+y+z)\,\mathrm dS=\iint_S(x(u,v)+y(u,v)+z(u,v))\left\|\mathbf r_u\times\mathbf r_v\right\|\,\mathrm du\,\mathrm dv$
$=\displaystyle\sqrt{14}\int_{u=0}^{u=3}\int_{v=0}^{v=2}((u+v)+(u-v)+(1+2u+v))\,\mathrm dv\,\mathrm du$
$=\displaystyle\sqrt{14}\int_{u=0}^{u=3}\int_{v=0}^{v=2}(4u+v+1)\,\mathrm dv\,\mathrm du$
$=\displaystyle\sqrt{14}\left(8\int_{u=0}^{u=3}u\,\mathrm du+3\int_{v=0}^{v=2}v\,\mathrm dv+6\right)$
$=\displaystyle\sqrt{14}\left(8\int_{u=0}^{u=3}u\,\mathrm du+3\int_{v=0}^{v=2}v\,\mathrm dv+6\right)$
$=48\sqrt{14}$

4 0

3 years ago

The scatter plot shows a scuba diver's depth in the ocean. The equation of the trend link shown is y = -3.29x - 10. Predict what

TiliK225 [7]

<u>It's not given a scatter plot not the characteristics of the variables, but it can be safely assumed as shown below</u>

Answer:

<em>The diver's depth will be -42.9 after 30 minutes</em>

Step-by-step explanation:

The equation of the trend (or best fit line) for the scuba diver's depth in the ocean is:

y = -3.29x - 10

Where y is the diver's depth and x is the time in minutes.

To predict the diver's depth at x=30 minutes, substitute in the equation:

y = -3.29(10) - 10

y = -32.9 - 10

y = -42.9

Since no units are provided for y, the answer is:

The diver's depth will be -42.9 after 30 minutes

6 0

3 years ago