Question 2(Multiple Choice Worth 4 points)

Can someone plz help me with this!

asambeis [7]

Answer:

(arranged from top to bottom)

System #3, where x=6

System #1, where x=4

System #7, where x=3

System #5, where x=2

System #2, where x=1

Step-by-step explanation:

System #1: x=4

$2x+y=10\\x-3y=-2$

To solve, start by isolating your first equation for y.

$2x+y=10\\y=-2x+10$

Now, plug this value of y into your second equation.

$x-3(-2x+10)=-2\\x+6x-30=-2\\7x=28\\x=4$

System #2: x=1

$x+2y=5\\2x+y=4$

Isolate your second equation for y.

$2x+y=4\\y=-2x+4$

Plug this value of y into your first equation.

$x+2(-2x+4)=5\\x+(-4x)+8=5\\x-4x+8=5\\-3x=-3\\x=1$

System #3: x=6

$5x+y=33\\x=18-4y$

Isolate your first equation for y.

$5x+y=33\\y=-5x+33$

Plug this value of y into your second equation.

$x=18-4(-5x+33)\\x=18+20x-132\\-19x=-114\\x=6$

System #4: all real numbers (not included in your diagram)

$y=13-2x\\8x+4y=52$

Plug your value of y into your second equation.

$8x+4(13-2x)=52\\8x+52-8x=52\\0=0$

<em>all real numbers are solutions</em>

System #5: x=2

$x+3y=5\\6x-y=11$

Isolate your second equation for y.

$6x-y=11\\-y=-6x+11\\y=6x-11$

Plug in your value of y to your first equation.

$x+3(6x-11)=5\\x+18x-33=5\\19x=38\\x=2$

System #6: no solution (not included in your diagram)

$2x+y=10\\-6x-3y=-2$

Isolate your first equation for y.

$2x+y=10\\y=-2x+10$

Plug your value of y into your second equation.

$-6x-3(-2x+10)=-2\\-6x+6x-30=-2\\-30=-2$

<em>no solution</em>

System #7: x=3

$y=10+x\\2x+3y=45$

Plug your value of y into your second equation.

$2x+3(10+x)=45\\2x+30+3x=45\\5x=15\\x=3$

3 0

3 years ago

Which binomial is a factor of the following quadratic? K2-12k+36

Nitella [24]

9514 1404 393

Answer:

(k -6)

Step-by-step explanation:

The given quadratic is a perfect square, so has one repeated binomial factor:

k^2 -12k +36 = (k -6)^2

5 0

3 years ago

Read 2 more answers

Can somebody help me figure out this problem I confused

tia_tia [17]

He would have missed 2 shots

8 0

3 years ago

Read 2 more answers

a rectangular swimming pool is 25 feet long anf 12 feet wide. it is surrounded by a fence that is h feet from each side of a poo

timurjin [86]

The length of rectangular swimming pool = 25 feet

The width of the swimming pool = 12 feet

The pool is surrounded by a fence which is h feet from each side

So, length of fence becomes = 25+2h

Width of fence becomes = 12+2h

The expression for the length of the fence is 25+2h feet

2h because 'h' increases for both ends of the length of the pool.

5 0

3 years ago

Twelve less than seven times a number is 16

Anna11 [10]

4 would be the only possible answer bc 7 x 4 = 28 and 28 - 12 = 16.

8 0

3 years ago