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astra-53 [7]
3 years ago
14

Halla el conjunto solución del siguiente sistema de ecuaciones aplicando el método de reducción: 2x + 3y = 8 x – 5y = 6

Mathematics
1 answer:
AysviL [449]3 years ago
4 0

Answer:

x = 7.535 and y = 0.307

Step-by-step explanation:

Given that,

Two equations,

2x + 3y = 8 ...(1)

x – 5y = 6....(2)

Multiply equation (2) by -2.

-2x + 10y = -12....(3)

Now, adding equations (1) and (2),

2x + 3y -2x + 10y = 8-12

13y = 4

y = 0.307

Put the value of y in equation (2).

x – 5(0.307) = 6

x = 6 + 1.535

x = 7.535

So, the solutions of the given equation are x = 7.535 and y = 0.307.

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Estimate and classify the critical points for the graph of the function<br> Please show work
ikadub [295]

The critical points of the function graphed are given as follows:

  • x = -1.5: Local maximum.
  • x = -1: Local minimum.

<h3>What are the critical points of a function?</h3>

The critical points of a function are the values of x for which:

f^{\prime}(x) = 0

In a graph, they are turning points, and are classified as follows:

  • Local maximum, if the functions changes from increasing to decreasing.
  • Local minimum, if the functions changes from decreasing to increasing.

Looking at the graph, the turning points are approximately:

  • x = -1.5: Local maximum.
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More can be learned about critical points at brainly.com/question/2256078

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5 0
2 years ago
What two numbers add to 8 and multiply to 28
anygoal [31]
Find numbers that multiply to 28 and add them to see if they add to 8
28=
1 and 28=29 not 8
2 and 14=16 not 8
4 and 7=11 not 8
that's it'
no 2 numbers
we must use quadratic formula

x+y=8
xy=28

x+y=8
subtract x fromb oths ides
y=8-x
subsitute
x(8-x)=28
distribute
8x-x^2=28
add x^2 to both sides
8x=28+x^2
subtract 8x
x^2-8x+28=0

if you have
ax^2+bx+c=0 then x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}
so if we have
1x^2-8+28=0 then
a=1
b=-8
c=28

x=\frac{-(-8)+/- \sqrt{(-8)^{2}-4(1)(28)} }{2(1)}
x=\frac{8+/- \sqrt{-48} }{2}
x=\frac{8+/- 4 \sqrt{-3} }{2}
x=4+/- 2 \sqrt{-3}
x=4+/- 2i \sqrt{3}
there are no real numbers that satisfy this
5 0
4 years ago
Determine a scalar c so that the angle between a = i + cj and b = i + j is 45°.​
Marina CMI [18]

Answer:

c=0

Step-by-step explanation:

ATQ a.b=|a||b|sin(45)

1+c=sqrt(1+c^2)*sqrt(2)*1/sqrt(2)

1+c=sqrt(1+c^2)

(1+c)^2=(1+c^2)

2c=0, c=0

6 0
3 years ago
Which fraction is equivalent to 3 over negative 5?
Sonbull [250]
6 over negative 10, because you just multiply the numerator and denominator by 2
4 0
3 years ago
What is the answer
Klio2033 [76]

Answer:

9

Step-by-step explanation:

Since 12 divided by 4 is 3, that is the constant. So 3 times 3 is 9

6 0
3 years ago
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