The solution to the system of equation is (-0.6, 1.6)
<h3>
System of linear equations</h3>
Given the system of linear equations as shown:
y = 2/3x+ 2 .................. 1
6x - 4y = -10................ 2
Substitute equation 1 into 2 to have:
6x - 4(2/3x + 2) = -10
6x - 8/3 x - 8 = -10
10/3 x = -2
10x = -6
x =-0.6
Determine the value of y
y = 2/3x + 2
y = 2/3 (-0.6) + 2
y = -0.4 + 2
y = 1.6
Hence the solution to the system of equation is (-0.6, 1.6)
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Answer:
0.20 - $117.76= $16.62
Step-by-step explanation:
if you have a percentage you can always turn it into a decimal just put the number behind the period: 70% = .70, 49% = .49% ....
then you do the rest of the equation and BOOM!
20% - $117.76 = $16.62 = 0.20 - $117.76= $16.62.
Answer:
<u>system of equations: </u>set of one or more equations involving a number of variables
<u>substitution method: </u>
1. Solve one equation for one of the variables.
2. Substitute (plug-in) this expression into the other equation and solve.
3. Resubstitute the value into the original equation to find the corresponding variable.
<u>ex:</u>
-4x+3y=-2 y=x-1
plug in: -4x+3(x-1)=-2
simplify: -x-3=-2
-x=-2+3
-x=1
answer: x=1
Surface integral: Parameterize the closed surface by
with
and
, where
defines the paraboloid part and
the planar part of the total surface
.
We have
so we get
The second integral vanishes when computing the dot product, so we're left with the first integral which reduces to
Volume integral (divergence theorem): We have divergence
By the divergence theorem, the flux is equivalent to the volume integral
where
denotes the space enclosed by the surface
. Converting to cylindrical coordinates lets us write the integral as
as desired.
Answer:
there was a -12 integer change
Step-by-step explanation:
-22 + 10 = -12