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3 years ago

Please help !!!!!!!!

Mathematics

1 answer:

bija089 [108]3 years ago

6 0

Answer:

I think it would be C but i don't think I'm 100% right.

Step-by-step explanation:

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1)A System of equations is shown below . What is the solution to the system of equations? 5x+2y=-15 2x-2y=-6

meriva

Answer:

x= -3 and y= 0

Step-by-step explanation:

5x+2y=-15

x= -3

Putting value of x in equation 1

5(-3) +2y=-15

-15+2y= -15

2y= 0

y= 0

This can be solved with the help of matrices

In matrix form the above equations can be written in the form

$\left[\begin{array}{ccc}5&2\\2&-2\/\end{array}\right]$ $\left[\begin{array}{ccc}x\\y\\\end{array}\right]$ = $\left[\begin{array}{ccc}-15\\-6\\\end{array}\right]$

Let

$\left[\begin{array}{ccc}5&2\\2&-2\/\end{array}\right]$ = A $\left[\begin{array}{ccc}x\\y\\\end{array}\right]$ = X and $\left[\begin{array}{ccc}-15\\-6\\\end{array}\right]$ = B

Then AX= B

or X= A⁻¹ B

where A⁻¹= adj A/ ║A║ where mod A≠ 0

adj A= $\left[\begin{array}{ccc}-2&-2\\-2&5\/\end{array}\right]$

║A║= ( 5*-2- 2*2)= -10-4= -14≠0

X= A⁻¹ B

$\left[\begin{array}{ccc}x\\y\\\end{array}\right]$ =- 1/14 $\left[\begin{array}{ccc}-2&-2\\-2&5\/\end{array}\right]$ $\left[\begin{array}{ccc}-15\\-6\\\end{array}\right]$

$\left[\begin{array}{ccc}x\\y\\\end{array}\right]$ =- 1/14 $\left[\begin{array}{ccc}-2*-15&+ -2*-6\\-2*-15&+ 5*-6\\\end{array}\right]$

$\left[\begin{array}{ccc}x\\y\\\end{array}\right]$ =- 1/14 $\left[\begin{array}{ccc} 30&+12\\30&+-30\\\end{array}\right]$

$\left[\begin{array}{ccc}x\\y\\\end{array}\right]$ =- 1/14 $\left[\begin{array}{ccc}42\\0\\\end{array}\right]$

$\left[\begin{array}{ccc}x\\y\\\end{array}\right]$ = $\left[\begin{array}{ccc}-42/14\\0/-14\\\end{array}\right]$

$\left[\begin{array}{ccc}x\\y\\\end{array}\right]$ = $\left[\begin{array}{ccc}-3\\0\\\end{array}\right]$

From here x= -3 and y= 0

Solution Set = [(-3,0)]

3 0

3 years ago

In his free time. Gary spends 8 hours per week on the internet. and 11 hours per week playing video games. If Gary has 5 hours o

alexandr402 [8]

18% I believe. Because you do the math then you rounded out and then I get 18%

7 0

2 years ago

Read 2 more answers

What is the distance between points S and U if S is 2, 1 and U is 6, 8

balandron [24]

The distance formula is:

D = sqrt((x2-x1)^2 + (y2-y1)^2)

D= sqrt ((6-2)^2 + (8-1)^2)

D = sqrt(4^2 + 7^2)

D = sqrt( 16 + 49)

D = sqrt(65)

D = 8.06

Rounded to the beat tenth = 8.1 units.

The answer is C. 8.1 units

4 0

3 years ago

Read 2 more answers

Solve the following quadratic equation using the quadratic formula. Which of the following expressions gives the numerators of t

Doss [256]

The quardratic equation is ax^2+bx+c=0

10x^2-19x+6=0

where a=10,b= - 19 c=6

quadratic formula= $-b(+-) \sqrt{b^2-4ac}/2a$

u solve it now

5 0

3 years ago

Kyla posted a photo challenge on social media and tagged 3 friends. She requested that each of those friends repost the challeng

wolverine [178]

The equation that could be used to determine the total number of people is given as y is equal to 3^x.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent y = a^x

where a is a constant and a>1

Let y be the total number of people that will be tagged.

And let x be a number of the round.

We are assuming the first is when Kyla posted a photo challenge on social media and tagged 3 friends.

So from the problem the equation becomes:

$\rm y = 3^x$

At first round x = 1, y =3

At second round x = 2, y = 9

At third round x = 3, y = 27

Thus, the equation that could be used to determine the total number of people is given as y is equal to 3^x.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ1

7 0

2 years ago