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AnnyKZ [126]
3 years ago
11

سا (a) From the definition of derivatives determine dy÷dx if y = -2÷x​

Mathematics
1 answer:
harina [27]3 years ago
3 0

Step-by-step explanation:

Given: y = -\dfrac{2}{x}

Derivative of a power function x^n:

\dfrac{d}{dx}(x^n) = nx^{n-1}

Therefore,

\dfrac{dy}{dx}=-2(-1)x^{-2} = \dfrac{2}{x^2}

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Find the equation of the line passing through (1,4) and (-2,-1).
wel

Answer:

y=5/3x+7/3

Step-by-step explanation:

Here are the points: (1,4) and (-2, -1)

let's first find the slope, which is with the equation m=(y2-y1)/(x2-x1) (m is the slope)

label the points:

x1=1

y1=4

x2=-2

y2=-1

now subsitute into the equation

m=(-1-4)/(-2-1)

m=-5/-3

m=5/3

the slope of the line 5/3

Here's the equation so far:

y=5/3x+b (b is a place holder)

we can substitute either one of the points into the equation so far to find b, because the line will pass through both of them>

let's use (1,4) as an example

4=5/3(1)+b

4=5/3+b

subtract 5/3 from both sides

7/3=b

Now, put it all together:

y=5/3x+7/3

Hope this helps!

8 0
3 years ago
Choose the arithmetic series that is associated with this summation.
Verizon [17]
Plug n = 1 into the expression 20-9n and we get
20-9n = 20-9*1 = 20-9 = 11

So 11 is the first term of the series that we add up. Therefore the answer must be choice C, which has 11 listed as the first term added
7 0
3 years ago
Estimate the answer to<br> 64 x 186<br> 21 x 98
Vikentia [17]

Answer:

I am a bit confused on what the question is asking. But 64*186= 11904 and if we were to round that number it would be 12000. 21*98=2058 and that number rounded is 2100 or just 2000. (hope this is right and helps :D)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
This is for my math review due tomorrow I need help!!
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Z is greater than or equal to 7.

you would put a 7 near the front of the number line and put a colored in circle above it. then you would draw a line from the circle to the other end of the line
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3 years ago
Round 948070 to the nearest hundred? Hurry please
qwelly [4]

Answer:

9.48

Step-by-step explanation:

6 0
3 years ago
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