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DENIUS [597]
2 years ago
12

Graph the following linear function. f(x) = 1/6x+3

Mathematics
1 answer:
Black_prince [1.1K]2 years ago
4 0
Y-axis is 3
x-axis is -18

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Solve the system of inequalities: <br> 3x-10&lt;0<br> 2x&gt;0<br> HELPPP WILL MARK BRAINLIEST
son4ous [18]

Answer:

<u>Solve each inequality and combine solutions:</u>

  • 3x - 10 < 0 ⇒ 3x < 10 ⇒ x < 10/3
  • 2x > 0 ⇒ x > 0

<u>Combination of the two is:</u>

  • 0 < x < 10/3

or

  • x ∈ (0, 10/3)
4 0
3 years ago
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26s? + 33<br> Submit<br> Hzhjskapskdjsjababah
kipiarov [429]

Answer:

59

Step-by-step explanation:

just add the 2 and you should get 59

6 0
3 years ago
A circle has a radius of 6cm . find the length s of the arc intercepted by a central angle of 169° .
Igoryamba
The circumference of the circle is = 2 x pi x 6 = 37.7cm

To find the arc = 360 divided by 169 = 2.13

The arc = 37.7 divided by 2.13 =  17.69 cm
3 0
3 years ago
Please help me tahank you so much
STALIN [3.7K]
We know that a triangle adds up to 180 degrees.

Here, 130 is a vertical angle so on the opposite side the triangle makes, it is also 130. Then we could add 130 to 25

130 + 25 = 155

Now let’s subtract this from 180.

180 - 155 = 25.

X is a supplementary angle to 25 so subtract 25 from 180.

180 - 25 = 155

X = 155.
4 0
2 years ago
Derivative of<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3x%7D%5E%7B2%7D%20-%202x%20-%201%20%7D%7B%20%7Bx%7D%5E%7B2
Anastaziya [24]

Answer:

\displaystyle  \frac{dy}{dx} =    \frac{2x + 2}{x^3}

Step-by-step explanation:

we would like to figure out the derivative of the following:

\displaystyle  \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }

to do so, let,

\displaystyle y =  \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }

By simplifying we acquire:

\displaystyle y =  3 -  \frac{2}{x}  -  \frac{1}{ {x}^{2} }

use law of exponent which yields:

\displaystyle y =  3 -  2 {x}^{ - 1}  -   { {x}^{  - 2} }

take derivative in both sides:

\displaystyle  \frac{dy}{dx} =  \frac{d}{dx}  (3 -  2 {x}^{ - 1}  -   { {x}^{  - 2} } )

use sum derivation rule which yields:

\rm\displaystyle  \frac{dy}{dx} =  \frac{d}{dx}  3 -   \frac{d}{dx} 2 {x}^{ - 1}  -     \frac{d}{dx} {x}^{  - 2}

By constant derivation we acquire:

\rm\displaystyle  \frac{dy}{dx} =  0 -   \frac{d}{dx} 2 {x}^{ - 1}  -     \frac{d}{dx} {x}^{  - 2}

use exponent rule of derivation which yields:

\rm\displaystyle  \frac{dy}{dx} =  0 -   ( - 2 {x}^{ - 1 -1} ) -     ( - 2 {x}^{  - 2 - 1} )

simplify exponent:

\rm\displaystyle  \frac{dy}{dx} =  0 -   ( - 2 {x}^{ -2} ) -     ( - 2 {x}^{  - 3} )

two negatives make positive so,

\displaystyle  \frac{dy}{dx} =   2 {x}^{ -2} +      2 {x}^{  - 3}

<h3>further simplification if needed:</h3>

by law of exponent we acquire:

\displaystyle  \frac{dy}{dx} =   \frac{2 }{x^2}+       \frac{2}{x^3}

simplify addition:

\displaystyle  \frac{dy}{dx} =    \frac{2x + 2}{x^3}

and we are done!

5 0
3 years ago
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