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2 years ago

What is the solution of the linear-quadratic system of equations? { y = x 2 + 5 x − 3 y − x = 2

Mathematics

2 answers:

photoshop1234 [79]2 years ago

8 0

Try substituting those values, and you will see they do not fit either equation.

looking at the 2nd equation, y = x+2, so

x+2 = x^2+5x-3

x^2 + 4x - 5 = 0

(x+5)(x-1) = 0

x = -5 or 1

so, y = -3 or 3

the solutions are thus (-5,-3)(1,3)

Hope this helps

Please give me Brainliest

Alex2 years ago

7 0

Answer-

(-5,-3)(1,3)

How I got my answer-

×+2=×^2+5×-3

×^2+4×-5=0

(×+5)(×-1)=0

×= -5 or 1

and y=3 or 3

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3 years ago

Read 2 more answers

Question<br> (X-5y/y3)-1=

Ilia_Sergeevich [38]

Answer:

$x = y^3+5y$

Step-by-step explanation:

Complete question

$\frac{x - 5y}{y^3} - 1=0\\$

Required

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$\frac{x - 5y}{y^3} - 1=0$

Collect like terms

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2 years ago

Andrew is two years older than Beatrice, and Chris is three years younger than Beatrice. The product of Andrew's age and Chris'

stich3 [128]

Answer:

Step-by-step explanation:

A = B + 2

C = B - 3

A x C = 66

A = Andrew

C = Chris

B = Beatrice

Multiply A and c together

(B + 2) x (b - 3)

b^2 - 3b + 2b - 6

b^2 -b - 6 = 66

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2 years ago

MARSVECTORCALC6 3.4.020. My Notes A rectangular box with no top is to have a surface area of 64 m2. Find the dimensions (in m) t

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Answer:

We would have

$l =w =\frac{8\sqrt{3}}{3} \\h = \frac{8\sqrt{3}}{6}$

where " l " is length, " w" is width and "h" is height.

Step-by-step explanation:

Step 1

Remember that

Surface area for a box with no top = $lw+2lh+2wh = 64$

where " l " is length, " w" is width and "h" is height.

Step 2.

Remember as well that

Volume of the box = $l*w*h$

Step 3

We can now use lagrange multipliers. Lets say,

$F(l,w,h) = lwh$

and

$g(l,w,h) = lw+2lh+2wh = 64$

By the lagrange multipliers method we know that

$\nabla F = \lambda \nabla g$

Step 4

Remember that

$\nabla F = (wh,lh,lw)$

and

$\nabla g = (w+2h,l+2h , 2w+2l)$

So basically you will have the system of equations

$wh = \lambda (w+2h)\\lh = \lambda (l+2h)\\lw = \lambda (2w+2l)$

Now, remember that you can multiply the first eqation, by "l" the second equation by "w" and the third one by "h" and you would get

$lwh = l\lambda (w+2h)\\\\lwh = w\lambda (l+2h)\\\\lwh = h\lambda (2w+2l)$

Then you would get

$l\lambda (w+2h) = w\lambda (l+2h) = h\lambda (2w+2l)$

You can get rid of $\lambda$ from these equations and you would get

$lw+2lh = lw+2wh = 2wh+2lh$

And from those equations you would get

$l = w =2h$

Now remember the original equation

$lw+2lh+2wh = 64$

If we plug in what we just got, we would have

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3 years ago

The staff at a company includes: 1 manager, 2 shift supervisors, 2 engineers, 10 technicians, and 25 production operators. If a

I am Lyosha [343]

The probability of he/she is a technician or production operator will be 7/8.

<h3>What is probability?</h3>

The probability of an event occurring is defined by probability.

If you flip a coin, the likelihood that it will land on its head or tail is nothing more than the chance that either the head or the tail will occur.

Given,

Event 1 = selection of technician

Event 2 = selection of production operator

Since both events are independent and nothing has common in between

So,

P(1 or 2 ) = p(1) × p(2)

So,

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Probability (technician or production operator) = 10/40 + 25/40 = 7/8

Hence the probability of he/she is a technician or production operator will be 7/8.

For more information about the probability

brainly.com/question/11234923

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2 years ago