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Mashutka [201]
3 years ago
10

Find the gradient, picture below

Mathematics
2 answers:
hoa [83]3 years ago
3 0

Answer:

\frac{dy}{dx}  =  \frac{13}{8}

Step-by-step explanation:

y = 2x + 6 {x}^{ -  \frac{1}{2} }  \\  \frac{dy}{dx} = 2 + 6( -  \frac{1}{2}) {x}^{ -  \frac{1}{2} - 1 }   \\  \frac{dy}{dx}  = 2 - 3 {x}^{ -  \frac{3}{2} }  \\ \frac{dy}{dx}  = 2 -  \frac{3}{ \sqrt{ {x}^{3} } }

When x = 4,

\frac{dy}{dx}  = 2 -  \frac{3}{ \sqrt{ {4}^{3} } }  \\  =  \frac{13}{8}

alexira [117]3 years ago
3 0

Answer:

Hello,

Answer 13/8

Step-by-step explanation:

y=2x+\dfrac{3}{\sqrt{x} } \\\\y'=2+6*\dfrac{-1}{2} x^{\frac{-3}{2} }\\\\y'=3-\frac{3}{\sqrt{x^3}} \\\\\\For x=4, \\\\y'(4)=2-\dfrac{3}{8} =\dfrac{13}{8}

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topjm [15]
Number one is 12. There is 12 cubes.
8 0
3 years ago
The square of a number plus three times the number is 70. find the numbers.
Harrizon [31]

Answer:

Step-by-step explanation:

The equation for that is

x^2+3x=70

If we subtract over the 70, we have a quadratic that we can factor to solve for the values of x that will make that equation true.

x^2+3x-70=0

Now we need the factors of 70 that will either add or subtract to give us the linear term of 3. The factors of 70 that will work are 10 and 7. 10 times 7 is 70, and 10 - 7 = 3:

x^2+10x-7x-70=0 and now we will factor by grouping:

(x^2+10x)-(7x-70)=0 and factor out what's common:

x(x+10)-7(x+10)=0

The factor (x + 10) is common, so we will now factor that out:

(x+10)(x-7)=0

By the Zero Product Property, either x + 10 = 0 or x - 7 = 0, so x = -10 or 7

Those are the 2 numbers that will work.

(-10)^2+3(-10)=70 simplifies to

100 - 30 which does in fact equal 70. OR

(7)^2+3(7)=70 which simplifies to

49 + 21 which also equals 70.

So you're done!

3 0
3 years ago
Your favorite basketpall player made two-point duele goals and three-point field goals for a total of 34 points. He made 16 shot
Ira Lisetskai [31]

Answer:

it was just a joke chilll

3 0
3 years ago
HELP PLS :C!!
nevsk [136]

Answer:

so originally there was 37 now there is 25 so if you trying to find out how many left you take 37-25=12 and 12 is how many left that zoo. hope this helps

i would appreciate the brainliest

8 0
3 years ago
Read 2 more answers
Round 48.078 to the nearest tenth
nasty-shy [4]

Answer:

50

Step-by-step explanation:

48 rounds to 50

ANSWER: 50

6 0
3 years ago
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