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pychu [463]
2 years ago
8

Write the equation of the line passing through points (2,-2) and (1,0) in slope intercept form.

Mathematics
2 answers:
katrin2010 [14]2 years ago
8 0

Answer:

y=-2x+2

Step-by-step explanation:

hope it helps!

Makovka662 [10]2 years ago
8 0

Answer:

 y = -2x + 2

Step-by-step explanation:

find the slope then use the point slope formula to get to y = -2x + 2.

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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
Can yall plz help me on this ???
Stolb23 [73]

Answer:

its the first one

Step-by-step explanation:

just use photomath (plus is free rn so you can see the steps)

4 0
3 years ago
Read 2 more answers
A player shoots a basketball from a height of 6 feet. The equation, h = -16t^2 + 25t + 6, gives the height, h , of the basketbal
noname [10]

Answer:

\boxed {\boxed {\sf 7.5 \ feet}}

Step-by-step explanation:

We are given this function for the height (h) after t seconds:

h=-16t^2+25t+6

Seconds is t and we want to find the height after 1.5 seconds. Plug 1.5 in for t.

h= -16(1.5)^2+25(1.5)+6

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Solve the exponent first.

  • (1.5)²= 1.5*1.5=2.25

h= -16(2.25)+25(1.5)+6

Multiply.

h= -36+25(1.5)+6

h= -36+37.5+6

Add.

h=1.5+6=7.5

This is already rounded to the nearest tenth, so it is the answer.

After 1.5 seconds, the basketball is at a height of 7.5 feet.

6 0
3 years ago
The sum of the cost of dinner d and 12 tip divided equally between 3 people
jekas [21]
3d=12
This should be your equation
And if it is asking for the answer it would be 4
I hope this answer helps!
5 0
3 years ago
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A survey asked the question, “Do you think a vaccination should be mandatory to enter shopping areas?!” to a random sample of 10
Sergio [31]

Answer: no it shouldn’t

Step-by-step explanation:

7 0
2 years ago
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