1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Crazy boy [7]
3 years ago
13

Rate of change for 6y=8x-40

Mathematics
1 answer:
larisa [96]3 years ago
3 0
Hello,

y=8/6 x-40/6
==>rate=8/6=4/3

You might be interested in
A marine called from Korea to say the temperature had risen 16 degrees since the sun came up. If it was 9 degrees Fahrenheit whe
jek_recluse [69]

144 degrees Fahrenheit.

you had to multiply 16*9=144

3 0
3 years ago
Evaluate your expression for m =12
Feliz [49]

There's no way for me to do that, because my expression
is totally blank, and doesn't involve ' m ' in any way.

But if you'll come back and give us <u>your</u> expression, I'll
evaluate it for m=12, and I'll also show you how.


3 0
3 years ago
37. Verify Green's theorem in the plane for f (3x2- 8y2) dx + (4y - 6xy) dy, where C is the boundary of the
Nastasia [14]

I'll only look at (37) here, since

• (38) was addressed in 24438105

• (39) was addressed in 24434477

• (40) and (41) were both addressed in 24434541

In both parts, we're considering the line integral

\displaystyle \int_C (3x^2-8y^2)\,\mathrm dx + (4y-6xy)\,\mathrm dy

and I assume <em>C</em> has a positive orientation in both cases

(a) It looks like the region has the curves <em>y</em> = <em>x</em> and <em>y</em> = <em>x</em> ² as its boundary***, so that the interior of <em>C</em> is the set <em>D</em> given by

D = \left\{(x,y) \mid 0\le x\le1 \text{ and }x^2\le y\le x\right\}

• Compute the line integral directly by splitting up <em>C</em> into two component curves,

<em>C₁ </em>: <em>x</em> = <em>t</em> and <em>y</em> = <em>t</em> ² with 0 ≤ <em>t</em> ≤ 1

<em>C₂</em> : <em>x</em> = 1 - <em>t</em> and <em>y</em> = 1 - <em>t</em> with 0 ≤ <em>t</em> ≤ 1

Then

\displaystyle \int_C = \int_{C_1} + \int_{C_2} \\\\ = \int_0^1 \left((3t^2-8t^4)+(4t^2-6t^3)(2t))\right)\,\mathrm dt \\+ \int_0^1 \left((-5(1-t)^2)(-1)+(4(1-t)-6(1-t)^2)(-1)\right)\,\mathrm dt \\\\ = \int_0^1 (7-18t+14t^2+8t^3-20t^4)\,\mathrm dt = \boxed{\frac23}

*** Obviously this interpretation is incorrect if the solution is supposed to be 3/2, so make the appropriate adjustment when you work this out for yourself.

• Compute the same integral using Green's theorem:

\displaystyle \int_C (3x^2-8y^2)\,\mathrm dx + (4y-6xy)\,\mathrm dy = \iint_D \frac{\partial(4y-6xy)}{\partial x} - \frac{\partial(3x^2-8y^2)}{\partial y}\,\mathrm dx\,\mathrm dy \\\\ = \int_0^1\int_{x^2}^x 10y\,\mathrm dy\,\mathrm dx = \boxed{\frac23}

(b) <em>C</em> is the boundary of the region

D = \left\{(x,y) \mid 0\le x\le 1\text{ and }0\le y\le1-x\right\}

• Compute the line integral directly, splitting up <em>C</em> into 3 components,

<em>C₁</em> : <em>x</em> = <em>t</em> and <em>y</em> = 0 with 0 ≤ <em>t</em> ≤ 1

<em>C₂</em> : <em>x</em> = 1 - <em>t</em> and <em>y</em> = <em>t</em> with 0 ≤ <em>t</em> ≤ 1

<em>C₃</em> : <em>x</em> = 0 and <em>y</em> = 1 - <em>t</em> with 0 ≤ <em>t</em> ≤ 1

Then

\displaystyle \int_C = \int_{C_1} + \int_{C_2} + \int_{C_3} \\\\ = \int_0^1 3t^2\,\mathrm dt + \int_0^1 (11t^2+4t-3)\,\mathrm dt + \int_0^1(4t-4)\,\mathrm dt \\\\ = \int_0^1 (14t^2+8t-7)\,\mathrm dt = \boxed{\frac53}

• Using Green's theorem:

\displaystyle \int_C (3x^2-8y^2)\,\mathrm dx + (4y-6xy)\,\mathrm dx = \int_0^1\int_0^{1-x}10y\,\mathrm dy\,\mathrm dx = \boxed{\frac53}

4 0
3 years ago
Adding and subtracing linear wxpressions 12(−4x+8)−14(8x−12)
Delicious77 [7]

Answer:

-160x+264

Step-by-step explanation:

-48+96x-112x+168

-160+264

3 0
3 years ago
Which expression is equivalent to 2 + 3(x - 6)?
EastWind [94]

Answer:

C)  2 + 3 x - 18

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given expression  2+ 3(x-6)

                 ⇒  2 + 3 x - 18

               ⇒    3 x - 16

8 0
3 years ago
Other questions:
  • A gallon of water weighs about 8.5 pounds. A container holds ​ 412 ​ gallons of water. How much does the water in the bucket wei
    14·2 answers
  • The area of the rectangle shown is 24 square inches. how much longer is its length than its width?
    15·1 answer
  • 25% of a university's freshman class are majoring in Engineering. If 500 students in the freshman class are Engineering majors,
    12·1 answer
  • −1.64 as a mixed number in simplest form.
    12·1 answer
  • there is à rope running from the top of a flagpole to a hook in the ground. the flagpole is 16 meters high, and the hook is 12 m
    8·2 answers
  • Please help me solve this :)
    6·1 answer
  • I really need someone to answer this please, I really need to pass this test:(.
    12·1 answer
  • Explain the survival of the fittest.
    13·1 answer
  • write a decimal division problem that has an estimated quotation of 4. explain how to get the estimation
    8·1 answer
  • Find the value of x.<br><br><br> M1= 3x + 7 and m5 = 25
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!