All categories

2 years ago

The system px +qy =r; fx + gy = h has solution(3,-1), where f,g,h,p,q, and r are nonzero real numbers.

Mathematics

1 answer:

Andrej [43]2 years ago

6 0

The equivalent system of equations that would guarantee a solution of (3,-1) are

a. (p+f)x+(q+g)y= r+h and fx+gy=h
d. px+qy=r and (f-2p)x+(g-2q)y=h-2r
e. px+qy+r and 5fx+ 5gy = 5h

<h3>How to determine the system of equations?</h3>

The system of equations is given as:

px +qy =r

fx + gy = h

Add both equations

(p + f)x + (q + g)y = r + h

Multiply the second equation by a constant (say 5)

5fx + 5gy = 5h

Multiply the first equation by a constant (say 2)

2px + 2qy = 2r

The combination of any of the above equations to the given equation would guarantee a solution of (3,-1)

Hence, the equivalent system of equations are (a), (d) and (e)

Read more about system of equations at:

brainly.com/question/14323743

#SPJ1

You might be interested in

What are the weights (in Newton’s) for the given masses 22.1,33.5,41.3,59.2,78

Blababa [14]

Answer:

1. 216.8 N

2.328.635 N

3. 405.153 N

4. 580.752 N

5. 765.18 N

Step-by-step explanation:

1. Let the mass is 22.1 kg, then the weight in Newton will be (22.1 × 9.81) = 216.8 N {Where acceleration due to gravity is 9.81 m/sec²}

2. Let the mass is 33.5 kg, then the weight in Newton will be (33.5 × 9.81) = 328.635 N {Where acceleration due to gravity is 9.81 m/sec²}

3. Let the mass is 41.3 kg, then the weight in Newton will be (41.3 × 9.81) = 405.153 N {Where acceleration due to gravity is 9.81 m/sec²}

4. Let the mass is 59.2 kg, then the weight in Newton will be (59.2 × 9.81) = 580.752 N {Where acceleration due to gravity is 9.81 m/sec²}

5. Let the mass is 78 kg, then the weight in Newton will be (78 × 9.81) = 765.18 N {Where acceleration due to gravity is 9.81 m/sec²}

(Answer)

4 0

3 years ago

This graph shows transformations between f(x) = 10x and g(x) = a · 10x. Identify the following functions. p(x) = 4 · 10x q(x) =

wel

Anwers:

1. line A

2. line D

3. line B

4. line C

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

Given the original function:

f(x) = 10x

and g(x) = a · 10x is the general from of all transformed functions from the above original function.

p(x) = 4 · 10x

The graph of this function is stretched vertically => line A

q(x) = –4 · 10x

The graph of this function is stretched vertically and is reflected through the x-asix => line D.

r(x) = (1/4) x 10x

The graph of this function is compressed vertically => line B

s(x) = (-1/4) x 10x

The graph of this function is compressed vertically and is reflected through the x-asix => line C

Hope it will find you well.

4 0

4 years ago

Read 2 more answers

5 1/4 of what number is 42

amid [387]

Answer:

Step-by-step explanation:

5 1/4 =5.25

42/5.25 = 8

8×5.25 = 42

4 0

3 years ago

Read 2 more answers

Find each missing length to the nearest tenth

Leni [432]

What are the lengths?

6 0

4 years ago

???????!:!:!:!:!:?!!!!!???!:!/!/

Masja [62]

Answer:

<u><em>Corral 4</em></u>

Step-by-step explanation:

we need to divide the area of the corral by the Number of animals In order To know the dedicated space for each animal

Corral 1 :

(50×40)÷110 = 18.181818181818 < 20

Then it doesn’t meet the requirements.

Corral 2 :

(60×35)÷115 = 18.260869565217 < 20

Then it doesn’t meet the requirements

Corral 3 :

(55×45)÷125 = 19.8 < 20

Then it doesn’t meet the requirements

Corral 4 :

(65×40)÷130 = 20

Then It meets the requirements

3 0

2 years ago