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.

Answers

Answer 1

Answer:

A. [tex]3x + 13y = 14[/tex] and [tex]6x + 11y = -2[/tex]

Step-by-step explanation:

Required

Determine which system of equation satisfy (-4,2)

To do this, we simply substitute -4 for x and 2 for y in the given functions.

A.

[tex]3x + 13y = 14[/tex] and [tex]6x + 11y = -2[/tex]

[tex]3x + 13y = 14[/tex]

[tex]3(-4) + 13(2) = 14[/tex]

[tex]-12 + 26 = 14[/tex]

[tex]14 = 14[/tex]

[tex]6x + 11y = -2[/tex]

[tex]6(-4) + 11(2) = -2[/tex]

[tex]-24 + 22 = -2[/tex]

[tex]-2 = -2[/tex]

The above shows that the given linear combination has a solution of (-4,2).

Hence, this option answers the question and there is no need to check other options

Answer 2

Answer: the answer is A

Step-by-step explanation:


Related Questions

3 values greater than |-3.5|

Answers

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

WHICH OF THE FOLLOWING IS THE SLOPE?

Answers

i think it’s answer d

transversals angles​

Answers

3 or in this case the answer is C

the answer of your question is angle 3

Use the Distributive Property and mental math to find the product.

9×76 =

Answers

Answer:

684

Step-by-step explanation:

Trust

What equation is equal to 8-2x=12?
A)2x-8=-12
B)2x-8=12
C)x-4=6
D)2x=20

Answers

i think it’s a i’m not sure

HELP ME PLEASE!!Dominic invested $19,000 in an account paying an interest rate of 6.1% compounded monthly. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 16 years?

Answers

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.

Calculation of the future amount:

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

If and θ is in quadrant IV, and .

Answers

Answer:

No hablo espanol

Step-by-step explanation:

Seriously what are you saying XD

A recipe for shepherd's pie uses 3 cups potatoes, 2 cups carrots, 1 cup onions, 1 ½ cups ground round to create enough for 6 people. If you need to feel 16 people, how many cups of carrots do you need? Use scale factors and ratios to solve this problem. Remember to show your work.

Answers

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.

Sarah and Henry share some sweets in the ratio 5:6 .
Sarah eats 16 of her sweets and the ratio of sweets left becomes 1:2 .
How many sweets did Henry have?

Answers

5/6 = 16/X — cross multiple
5X = 96

X = 96/5
X = 19.4

19.4 x 2 = 38.4
Round up = 39 pieces of Candy

How do you graph 16x-4y=2?

Answers

Make it into slope intercept form
16x = 4y + 2
4y = 16x - 2
Divide by 4
Y = 4x -1/2
Since the equation is linear, find 3 points and plot them
(0, -1/2), (1, 3.5), (-1, -4.5)
And lastly, draw a line through them

Answer:

I like your cut g

Step-by-step explanation:

What is the domain of the square root function graphed below?
x=-1 x>/=-1

Answers

Answer:

im guessing -1

Step-by-step explain

well it would be greater than -1x-1

emily is entering a bicycle race for charity. her mother pledges $0.40 for every 0.25 mile she bikes. if emily bikes 6 miles how much will her mother donate​

Answers

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

URGENTTTTTTTTTTTTTTT ASAP MARKING BRAINLIEST

Answers

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:

Translate into an equation: "The difference of half a number and 7 is the same as the sum of the number and 13"

Answers

Answer:

n2 - 7 = n + 13

50pts ANSWER ALL QUESTIONS

Answers

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:

You have enough inventory ($3,000,000) to last 30 days for the current orders being processed. However, a new order came in today, which has to be fulfilled in 15 days. This new order will deplete your inventory completely by that time. How much money in inventory must be ordered to last the month?

Answers

Answer:

Picture Below

Step-by-step explanation:

Which equation represents the graphed function?
10,3)
(32)
2
5
-3 -2 -1
1
3
4 5
-2
DR
Or
A
y = -3x + 3
B
y=-{x+3
С
y = 3x -
D
y = 3x - 3

Answers

Answer:

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

A Sweater That normally costs $25.00 is on sale for 10 percent Off.
What will the Discount be?
what will the cost of the Sweater be?
Can Someone Please PLEASE help me??

Answers

Answer:

15.00

Step-by-step explanati

the discount is 15% because you need to subtract it

Jana has a sandbox that is 4 1/2 feet long, 5 feet wide, and 1/2 foot deep. How many cubic feet of sand does she need to fill the sandbox completely.

Answers

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.

Solve for x !!!!!!!!!!!!!!!!

Answers

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

Y greater than or less than 1/4 X + 2

Answers

Answer:

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

Step-by-step explanation:

The ratio of 8 less than a number to 28 more than that number is 2 to 5. What is the number?
a. 32
b. 30
c. 28
d. 15

Answers

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:

The answer is 32... A

HURRY PLEASE!!

How would you graph this on a slope?


Answers

Answer:

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

Step-by-step explanation:

Need help ASAP!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

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

Option A is the correct answer

What is mZG?
Enter your answer in the box.

FGH
(x-5)°
(3x+24)°
x°​

Answers

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°

Equation of the Line
Lesson
I
After going through this lesson, you are expected to find the equation of a
line given (a) two points, (b) the slope and a point and (c) the slope and its
intercepts
From the given linear equation, we can determine 2 points that will satis-
fy the equation. Also we can determine the slope and the y- intercept so as the
x and y intercepts.
Example: Given - 2x + y = 6
Find: a. two points that will satisfy the equation
(b) slope and y-intercept
(c) x and y intercept
Solution:
(a) -2x + y = 6
If x = -1
If y = 2
-21-1) + y = 6
- 2x + 2 = 6
2 + y = 6- y = 4
-2x = 4-x= -2
The point is (-1,4)
The point is (-2, 2)
(b) Change the equation to slope intercept form : y = 2x + 6
Therefore the slope m = 2 and the y-intercept b = 6
(c) Find the and y intercept of -2x + y = 6
Let x = 0, -2(0) + y = 6; y = 6. the intercept is (0,6)
Let y = 0, -2x + 0 = 6; -2x = 6, X = -3, the y intercept is (-3,0)
Learning Task 1 : From the given equation of the line a) find two points that will
satisfy the equation, b) the slope and the y intercepts and c) the x and y-
intercepts.
2.
3y - X9
1. 3x + 2y = 5​

Answers

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.

help me please I have no idea what the answer is​

Answers

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

5) Find the equation of the line going through the point (4,1) and
perpendicular to y = - 3x +7

Answers

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

Which expression is not equivalent to -3x + 24? Select all that apply.

A. -3(x - 8)
B. -(3x + 24)
C. 3/2(-2x + 16)
D. -1/3( 9x + 8)
E. 6(-1/2x - 4)
F. 8(-3/8x + 3)

Answers

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

Find (x^3+7x^2-16x-112) divide (x+4) by using synthetic division.

Answers

Answer:

x^2+3x-28

Step-by-step explanation:

Answer:

The answer is x^2  3x 28

Step-by-step explanation:

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