Mathematics, 06.03.2020 23:12 jacquelineS7691

0.4x - 0.1y = 2
0.2x + 0.5y = 1
Solve the system

Answers: 3

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Answers

Explanation:
The starting system is:
{
0.4
x
−
0.1
y
=
2
0.2
x
+
0.5
y
=
1

If we multiply the second equation by
−
2
the coefficients of
x
will be opposite numbers:
{
0.4
x
−
0.1
y
=
2
−
0.4
x
−
y
=
−
2

Now we can add both sides of the equations to get an euation of 1 variable:
−
1.1
y
=
0

y
=
0

Now we have to substitute the calculated value of
y
to calculate
x
:
0.4
x
=
2

x
=
2
0.4
=
20
4
=
5

The solution of this systemm is:
{
x= 5
Y=0

I hope that helps let me know if you have questions.

Answer from: isanaty7951

Cancelling equ
Step 1
Make y same by multiplying 2 with ( 0.4x - 0.1y = 2 )

New equ is 2x - 0.5y =10

Step 2 cancelling y ( why? :- they are both same number and opposite sign and the main rules to cancel)

And ur left with
2x = 10 -> equ 1
0.2x = 1 -> equ 2

Step 3 Subtract equ 2 with equ 1
(0.2x - 2x = 1.8x)
(10 - 1 = 9 )

Ur left with this
1.8x = 9

Step 4 solve
x = 9/1.8
x = 5

Step 4 substitute x in the equ that was given to u from the start
Make y subject And solve

Y=0

Answer from: Quest

221,500 is the answer

Answer from: Quest

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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