The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations? 3 x + 13 y = 14. And 6 x + 11 y = -2. 4 x + 5 y = 12. And 8 x + 3 y = -4. 5 x + 4 y = 12. And 7 x + 8 y = 12. 10 x + 3 y = 8. And 17 x + 6 y = 10.

Answer:

-21/10

Step-by-step explanation:

-2/5 - 4/5 = -6/5  <--

a common denominator

Then...

-6/5 -9/10 = -21/10

There is not a common denominator so you have to multiply 2 to the -6/5 to make it -12/10

The answer can be left as an improper fraction which is -21/10

or a mixed number -2 1/10 th

Answer:

The angle for G is 121°.

Step-by-step explanation:

Given that total angles in a triangle is 180° so in order to find the angle of G, first, you hav eto find the value of x :

x + (x - 5) + (3x + 25) = 180°

5x + 20° = 180°

5x = 160°

x = 32°

Next, you have to find the angle of G :

G = 3x + 25

G = 3(32) + 25

G = 96° + 25°

G = 121°

Answer:

x^2+3x-28

Step-by-step explanation:

Answer:

The answer is x^2  3x 28

Step-by-step explanation:

Answer:

the equation is y=-1/3x+3

Answer:

let the number be x

then

(x-8): (x+28) = 2:5

on solving

5x-40= 2x+56

3x = 96

x = 32

Step-by-step explanation:

Answer:

$9.60

Step-by-step explanation:

0.40(6/0.25)

0.40(24)

9.6

Answer:

the correct answer is $2.40

Step-by-step explanation:

0.40= every 0.25miles

for 6 miles it will be 2.40 because u multiply 6 with 0.40 and u get the answer

Answer:

684

Step-by-step explanation:

Trust

the answer of your question is angle 3

Answer:

15.00

Step-by-step explanati

the discount is 15% because you need to subtract it

Answer:

She needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.

Step-by-step explanation:

length = [tex]l[/tex]= [tex]4\frac{1}{2}=\frac{9}{2}=4.5[/tex]  feet

width = [tex]w=[/tex] 5 feet

depth = [tex]h=\frac{1}{2}=0.5[/tex] feet

Sandbox is just like a rectangular prism. In order to fill the sandbox completely, we need to determine the volume.

Thus, the formula to find the volume of a rectangular prism can be computed using the formula

[tex]V\:=\:l\:\times \:w\:\times \:h[/tex]

[tex]V=4\frac{1}{2}\times 5\times \frac{1}{2}[/tex]

    [tex]=\frac{9}{2}\times \:\:5\times \:\frac{1}{2}[/tex]

     [tex]=\frac{45}{2\times \:2}[/tex]

     [tex]=11\frac{1}{4}[/tex] ft³

Thus, she needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.

Answer:

6.5

Step-by-step explanation:

3.5 + 3

Answer:

6.5

Step-by-step explanation:

I-3.5I = 3.5

3.5 + 3 = 6.5

Check Work:

6.5 - 3.5 = 3

or

I-3 - 3.5I = I-6.5I = 6.5

Answer:

3y=x-1 OR y=⅓x-⅓

Step-by-step explanation:

Lets call the equation y=-3x+7 line l1

the other line passing through (4,1) l2

If two lines are perpendicular,then the product of their roots=-1

That is m(l1)×m(l2)=-1

Slope of l1=-3 therefore slope of l2=-1÷-3=⅓

Now that we have determined the slope of l2 we move on to find it's equation using the point-slope form

y-y1=m(x-x1)

y-1=⅓(x-4)

3y-3=x-4

3y=x-4+3

3y=x-1 OR y=⅓x-⅓

13.) -3/4

14.) takes a lot of work

15.)5

16.) corresponding

14.) d=24

15.)25x+5=26x

Answer:

13.) -3/4

14.) takes a lot of work

15.)5

16.) corresponding

14.) d=24

15.)25x+5=26xStep-by-step explanation:

9514 1404 393

Answer:

  a) (0, 5/2), (5/3, 0)

  b) m = -3/2; b = 5/2

  c) (5/3, 0), (0, 5/2)

Step-by-step explanation:

Given:

  3x +2y = 5

Find:

  a) two points that satisfy the equation

  b) slope and y-intercept

  c) x-intercept

Solution:

Since the intercepts are points on the line, finding them satisfies all parts of the question except finding the slope.

a) Let x=0. Then we can find y from ...

  3·0 +2y = 5

  y = 5/2

One point is (0, 5/2).

Let y=0. Then we can find x from ...

  3x +2·0 = 5

  x = 5/3

Another point is (5/3, 0).

Two points on the line are (0, 5/2) and (5/3, 0).

__

b) The slope can be found using the slope formula on the two points we found.

  m = (y2 -y1)/(x2 -x1)

  m = (0 -5/2)/(5/3 -0) = -(5/2)/(5/3) = -3/2

The slope is -3/2. The y-intercept is 5/2.

__

c) The x- and y-intercepts are (5/3, 0) and (0, 5/2), respectively.

Answer:

B, D, and E

Step-by-step explanation:

You'll have to distribute each and put them into a full equation again.

A. -3x + 24

B. -3x - 24

C. -3x + 24

D. -3x - 8/3

E. -3x - 24

F. -3x + 24

I bolded the ones that did not equal -3x + 24

so your answer is B, D, and E

Answer:

A≈50298

Step-by-step explanation:

The money to the nearest dollar would be in the account after 16 years is to be considered as the $50,298.

Since

The interest rate be like = 6.1% = 6.1% / 12 = 0.51%

The time period = 16 * 12 = 192

The present value = $1,9000

The PMT is = $0

Now the following formula is used;

So,

= -FV(RATE,NPER,PMT,PV,TYPE)

After applying it, the future value should be $50,298.

Learn more about rate here: brainly.com/question/24546293

Answer:

No hablo espanol

Step-by-step explanation:

Seriously what are you saying XD

Answer:

-9

Step-by-step explanation:

180=85+44+60+(x)-9

Answer:

A. -9

Step-by-step explanation:

A triangle equals 180 degrees so:

60 + 85 + x + 44 = 180

add like terms

x + 189 = 180

subtract 189 from both sides

x = -9

Answer:

n2 - 7 = n + 13

Answer:

Picture Below

Step-by-step explanation:

Answer:

If you wanted to you could go to desmos it helps you graph

Step-by-step explanation:

Answer:

I like your cut g

Step-by-step explanation:

Answer:

im guessing -1

Step-by-step explain

well it would be greater than -1x-1

Answer:

I would say B only IV because all of the others are assuming and there's no way to prove true or not.

Step-by-step explanation:

Answer:

Step-by-step explanation:

5/6 + 1/8 + 3/4 = 1 17/24

Option A is the correct answer

Answer:

y[tex]\geq[/tex]1/4x+2

Step-by-step explanation:

Answer:

[tex]5\frac{1}{3}[/tex] cups of carrot.

Step-by-step explanation:

Let's set up proportional equation.

6 people need 2 cups of carrots

Let 16 people need x cups of carrots.

We could form ratio for number of people to cups of carrot used as

6:2

16:x

So, proportional equation would be

[tex]\frac{2}{6} =\frac{x}{16}[/tex]

Cross multiply

32=6 x

Divide both sides by 6.

x=[tex]\frac{32}{6}[/tex]

Divide to get mixed number

x=5[tex]\frac{2}{6}[/tex]

Simplify the fraction

x=[tex]5\frac{1}{3}[/tex] cups of carrot.