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Gennadij [26K]
2 years ago
5

How do I change 2y = 3x + 8 into slope-intercept form?

Mathematics
1 answer:
Sophie [7]2 years ago
7 0
ANSWER: Y=3/2x+4

Divide both sides of the equation by 2
Remove the parenthesis
Rewrite it as y=3/2x+4
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Determine whether or not f is a conservative vector field. if it is, find a function f such that f = ∇f. (if the vector field is
gladu [14]

\mathbf f is conservative if we can find a scalar function f such that \nabla f=\mathbf f. This is equivalent to solving the system of PDEs,

\dfrac{\partial f}{\partial x}=2x-6y

\dfrac{\partial f}{\partial y}=-6x+10y-9

Integrate both sides of the first PDF with respect to x:

f(x,y)=x^2-6xy+g(y)

where g is some function independent of x. Then differentiatng with respect to y, we have

\dfrac{\partial f}{\partial y}=-6x+\dfrac{\mathrm dg}{\mathrm dy}=-6x+10y-9

\implies\dfrac{\mathrm dg}{\mathrm dy}=10y-9\implies g(y)=5y^2-9y+C

and so \mathbf f is indeed conservative, with

f(x,y)=x^2-6xy+5y^2-9y+C

3 0
3 years ago
Please please please help me out
defon
The value is 5.48 or 5 inches because the parallelograms have equal opposite  sides, so therefore the opposite angles are equal too so the
sinx=5.6/10
x=34
then sin34=h/9.8
h=5 inches.
4 0
3 years ago
This graph displays a linear function. What is the rate of change?
ivolga24 [154]

Answer:

5/1 or 5

Step-by-step explanation: You find two points that the line goes on. So in this it would be 1,1 for the first one, the second one is 2,4. Then you go from the first point up or down to get to the same level at the second point. Then you go over to the left or right to meet the second point, in this graph you will go up 5 times to get to the same level. Then over 1 time to get to the point. Then you divide the rise over the run the rise is 5 and the run is 1, so you would do 5 divided by 1 and the answer of that is 5.

Hope this helps you in the future

                                                            Smiles,  MysticCryptic (Aka) Jordan

8 0
2 years ago
Renee is wanting to join a gym.
WINSTONCH [101]
Pumping iron: 10x+90=0
Fit for life: 15x+50=0

Set them equal to each other. 10x+90=15x+50. Solve for x. Subtract 50 from both sides, get 10x+40=15x, then subtract 10x from both sides, getting 40=5x. Divide 5 from both sides to isolate x, x=8. After 8 months the two gyms will cost the same.
7 0
3 years ago
g Jack is polling New Yorkers to determine what proportion of them want to legalize recreational marijuana. How many New Yorkers
wolverine [178]

Answer:

1006

Step-by-step explanation:

Take proportion, p = 62%

n = (Z² * pq) / M.E²

Margin error = 0.03

p = 62% = 0.62

q = 1 - p = 1 - 0.62 = 0.38

Zcritical at 95% = 1.96

n = (1.96² * (0.62*0.38)) / 0.03²

n = 0.90508096 / 0.0009

n = 1005.6455

n = 1006

Sample size = 1006

5 0
2 years ago
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