3 years ago

Which equation most closely represents the line of best fit for the scatter plot below?

Mathematics

1 answer:

Ronch [10]3 years ago

7 0

I think that the first choice is the correct one

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FACTOR the expression 6x+3y-12 using the greatest common multiple.

Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

For 6x+3y-12 the greatest common factor is 3 so

3(2x+y-4)

For -2+6x+4+4x

10x+2 and 2 is greatest common factor so

2(5x+1)

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2 years ago

Finding product for 4 digit numbers

Amanda [17]

One answer would be15669012

7 0

2 years ago

Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 6z) k C is the line segment from (2, 0, −2) to (5, 4, 2) (a) Find a fun

WITCHER [35]

Answer:

Required solution (a) $f(x,y,z)=xyz+3z^2+C$ (b) 40.

Step-by-step explanation:

Given,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k$

(a) Let,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k=f_x \uvec{i} +f_y \uvex{j}+f_z\uvec{k}$

Then,

$f_x=yz,f_y=xz,f_z=xy+6z$

Integrating $f_x$ we get,

$f(x,y,z)=xyz+g(y,z)$

Differentiate this with respect to y we get,

$f_y=xz+g'(y,z)$

compairinfg with $f_y=xz$ of the given function we get,

$g'(y,z)=0\implies g(y,z)=0+h(z)\implies g(y,z)=h(z)$

Then,

$f(x,y,z)=xyz+h(z)$

Again differentiate with respect to z we get,

$f_z=xy+h'(z)=xy+6z$

on compairing we get,

$h'(z)=6z\implies h(z)=3z^2+C$ (By integrating h'(z)) where C is integration constant. Hence,

$f(x,y,z)=xyz+3z^2+C$

(b) Next, to find the itegration,

$\int_C \vec{F}.dr=\int_C \nabla f. d\vec{r}=f(5,4,2)-f(2,0,-2)=(52+C)-(12+C)=40$

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3 years ago

A food safety guideline is that the mercury in fish should be below 1 part per million (ppm). Listed below are the amounts of m

posledela

Answer:

Check the attached document for the solutions, cheers

Step-by-step explanation:

Download docx

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3 years ago

how do I Translate the following verbal statement into an algebraic equation and then solve: Krystal bought a nightstand on sale

GREYUIT [131]

Answer:the original price is $680

Step-by-step explanation:

1/4(x)=170

4×1/4(x)=4×170

x=$680

6 0

3 years ago