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Nina [5.8K]
3 years ago
5

Solve for y 5y-x=10 Is it 2?

Mathematics
1 answer:
svet-max [94.6K]3 years ago
5 0
5y-x=10
Isolate the variable
add x to both sides
5y-x+x=10+x
5y=10+x
Divide both sides by 5
5y/5=10+x/5
y=2+1/5x 
So y is equal to 2+1/5x
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Identify the parameters in y = a*bkx.
Natasha2012 [34]
Convention in algebra is that we use letters such as a, b, c, etc., for parameters and letters such as x, y z, and so on, for variables.

Thus the parameters here are a, b and k.  k is the constant of proportionality.

5 0
3 years ago
Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:
ryzh [129]

First find the critical points of <em>f</em> :

f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7

\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1

\dfrac{\partial f}{\partial y}=6y=0\implies y=0

so the point (1, 0) is the only critical point, at which we have

f(1,0)=-7

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t

Find the critical points of <em>g</em> :

\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0

\implies\sin t=0\text{ OR }1+5\cos t=0

\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi

where <em>n</em> is any integer. We get 4 critical points in the interval [0, 2π) at

t=0\implies f(10,0)=155

t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299

t=\pi\implies f(-10,0)=235

t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299

So <em>f</em> has a minimum of -7 and a maximum of 299.

4 0
3 years ago
Help with this problem
castortr0y [4]

Answer:

y = 4; g(7) = 4

Step-by-step explanation:

The meaning of g(7) is wherever you see an x in g(x) you put a 7. In this case you are being told that x = 7

So go to 7 on the x axis, go up until you hit the blue line which is g(x) and then read what it says on the y axis. It shows 4 and that is your answer.

6 0
3 years ago
five times the difference of twice a number and three, decreased by the sum of the number and eight, equals thirteen
trapecia [35]
5x(2y-3)-(y+8)=13 I believe this is correct
7 0
3 years ago
. HELP DUE IN A FEW MIN ASAP im stupidssssss
adelina 88 [10]

Answer:

B

Step-by-step explanation:

80*17=1360/choice B

5 0
3 years ago
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