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3 years ago

What’s the equation for this table?

Mathematics

1 answer:

-BARSIC- [3]3 years ago

6 0

Answer:

y=2.5x-3

Step-by-step explanation:

first, we find the y-intercept, which is the number with a zero in the x

That would be -3

next, we find the slope

to do this, we have to take two numbers on the y side next to each other and subtract.

For this example we will use 7 and 2

7-2=5

And just to be positive, we will also do 12 and 7

12-7=5

Okay, now that we know that the number is growing by 5 every time, we know that it is now 5/2 because y is growing by 5 and x is growing by 2

Now, we make the x side grow by only 1, so to do this, we will divide both sides by two.

Now we have 5/1 or just 5

Finally, to put that into the right format, we do y=5x-3

You're Welcome

Good Luck

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What is 4.25 round to one decimal place

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Rounded to one decimal place means to round to the nearest tenth (i.e. to the nearest 0.1)

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3 years ago

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Find the directional derivative of f(x,y,z)=z3−x2yf(x,y,z)=z3−x2y at the point (−5,5,2)(−5,5,2) in the direction of the vector v

olga_2 [115]

We are given

$f=z^3 -x^2y$

Firstly, we can find gradient

so, we will find partial derivatives

$f_x=0 -2xy$

$f_x=-2xy$

$f_y=0 -x^2$

$f_y=-x^2$

$f_z=3z^2$

now, we can plug point (-5,5,2)

$f_x=-2*-5*5=50$

$f_y=-(-5)^2=-25$

$f_z=3(2)^2=12$

so, gradient will be

$gradf=(50,-25,12)$

now, we are given that

it is in direction of v=⟨−3,2,−4⟩

so, we will find it's unit vector

$|v|=\sqrt{(-3)^2+(2)^2+(-4)^2}$

$|v|=\sqrt{29}$

now, we can find unit vector

$v'=(\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

now, we can find dot product to find direction of the vector

$dir=(gradf) \cdot (v')$

now, we can plug values

$dir=(50,-25,12) \cdot (\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

$dir=(-\frac{150}{\sqrt{29} } - \frac{50}{\sqrt{29} } - \frac{48}{\sqrt{29} })$

$dir=-\frac{248\sqrt{29}}{29}$ .............Answer

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Each Necklace Had 36 Beads . 864 / 24 = 36 .

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Ty and Gajge are both football players who averaged 4 yards per run in yesterday’s

Anettt [7]

Answer:

The lengths of Gajge’s runs have greater variability because there is a greater difference between his longest and shortest runs is the answer.

Step-by-step explanation:

given that Ty and Gajge are football players.

Carries is 15 for both and average is the same 4 for both.

But on scrutiny we find that maximum and minimum and 6 and 2 for Ty.

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But for Gajge, highest is 19 and lowest is 2.

i.e. range = 19-2 =17 very much higher than that of Ty

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Jonathon's Yo-Yo has a string that is three and a half feet long. If Jonathon cuts six inches off of the string, how many feet w

earnstyle [38]

1 ft= 12 inches
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ANSWER: 3 feet

Hope this helps! :)

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3 years ago