Identify the determinants for the given linear system: 5x + 2y = 14 −3x − 5y = 3

Answers

Answer 1

Answer:

Step-by-step explanation:

|A|= 5, 2, -3, -5

|Ax|= 14, 2, 3, -5,

|Ay|= 5, 14, -3, 3

Answer 2

The determinants are, [tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex], [tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex] and [tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].

What are the three types of solutions for a system of linear equations?

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

The given linear system is, 5x + 2y = 14 and - 3x - 5y = 3.

In terms of determinants, it can be written as,

[tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex].

[tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex].

[tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].

[tex]x = \frac{D_x}{D}[/tex] and [tex]y = \frac{D_y}{D}[/tex].

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Related Questions

Under the following translation, (x,y) becomes (x-2, y+2) the point (1,1) will become _____.

Answers

Answer:

( - 1, 3 )

Step-by-step explanation:

( 1 - 2 , 1 + 2 ) = ( - 1, 3)

(1, 1) -----> ( - 1, 3 )

For an activity in class, student used pieces of string to measure road on a map. They used a map scale to determine the distance between two cities. One group measured the distance between Fort Myers and Miami on a Florida state map. The string distance was 7.75 inches, which represents a real-life distance of about 155 miles. Another group measured the distance between Tampa and Orlando on the same map and found that distance to be 4.25 inches. What is the real-life distance to the nearest mile between Tampa and Orlando

Answers

Answer:

Step-by-step explanation:

85miles¯\_(ツ)_/¯

hii i need help again.
Find the total cost to the nearest cent.
$49.95 pair of shoes: 5% tax

Answers

Answer:

2.49 or 2.50

Step-by-step explanation:

Answer:

= 52.4475 rounded to nearest cent = 52.44

Step-by-step explanation:

Plz mark brainliest!!!

halp me again:<<<<<<<<<< this time 15 points ​

Answers

Answer:

The answer is 40/3, cannot be simplified.

Step-by-step explanation:

Do 8*5 (numerator), then 1*3 (denominator)

It is 40 aka 40 over 3
3

A select soccer team had tryouts for the upcoming season. The team typically has 25% of the players in the tryouts process come back for a second evaluation. If the team asked 17 players back for a second evaluation, how many players showed up for the first tryout

Answers

Given:

The team typically has 25% of the players in the tryouts process come back for a second evaluation.

The team asked 17 players back for a second evaluation.

To find:

The players showed up for the first tryout.

Solution:

Let x be the number of players showed up for the first tryout.

According to the question,

[tex]25\%\text{ of } x=17[/tex]

[tex]\dfrac{25}{100}x=17[/tex]

[tex]\dfrac{1}{4}x=17[/tex]

Multiply both sides by 4.

[tex]x=17\times 4[/tex]

[tex]x=68[/tex]

Therefore, 68 layers showed up for the first tryout.

Answer:

68

Step-by-step explanation:

Jake walked all the way around the perimeter of a square playground that has sides n feet long, then he walked an additional 20 feet. Which person walked the same distance as Jake?

Answers

Options :

Sarah, who walked a straight distance of n+10 feet.

Nancy, who walked around a square garden measuring n+5 feet on each side.

Jules, who walked around a rectangular room measuring n feet wide and 10 feet long.

Billy, who walked around a square lot measuring 20 feet on each side

Answer:

Nancy, who walked around a square garden measuring n+5 feet on each side.

Step-by-step explanation:

Given that:

Jake walked round the perimeter of a square with sides n feets long

Additional distance walked = 20 feets

Perimeter of a square = 4n

Where n = Length of the side

Hence Jake's total distance :

Perimeter walked + additional distance

4n + 20 feets

Comparing to Distance walked by Nancy:

Side length of square garden = n+5

Perimeter of the garden = 4 * side length

Perimeter of the garden = 4 * (n + 5)

Perimeter of the garden = 4n + 20 feets

Hence, Nancy walked the same distance as Jake

Un químico agrega cierta cantidad de una solución de 86% de alcohol a 11 litros de otra solución al 71% de alcohol y obtiene una solución al 77% de alcohol encuentre la cantidad de litros de la primera solución que se agregaron a la segunda

Answers

Answer:

Step-by-step explanation:

Sea x la cantidad de litros de la mezcla al 86%

x× 86% + 11 × 71% = (x + 11) × 77%

0.86x + 7.81 = 0.77x + 8.47

Write the equation of the line that goes through the point (2, -1) and has a slope of
-3.

Answers

Answer:

y=-3 -1

Step-by-step explanation:

y=mx+b m=slope b= y intercept

Answer:

y = - 3x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3, thus

y = - 3x + c ← is the partial equation

To find c substitute (2, - 1) into the partial equation

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = - 3x + 5 ← equation of line

write the equation in slope intercept form that represents the graph below.

Answers

Answer:

i didnt have this yet

Step-by-step explanation:

Answer:

y = 3/2x + 2

Step-by-step explanation:

let eqn be y = mx + c

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

sub (0, 2):

2 = 3/2 (0) + c

c = 2

therefore, the equation is y = 3/2x + 2

What is the product of (–0.9)(–2.4)? –3.3 –2.16 2.16 3

Answers

Answer:

C. 2.16

Step-by-step explanation:

I took the test on edge

Please help ! Super easy

Answers

Answer:

I am not certain but I think division

Answer:

I think you use division to get rid of them.

Step-by-step explanation:

Hope this helps

HELP RIGHT NOW PLEASE! The perimeter of the rectangle below is 94 units. Find the length of side PS. Write your answer without variables

Answers

Answer:

22

Step-by-step explanation:

so permeter of a square is the sum of all the sides

94=5x+5x+4x+2+4x+2

so x=5

then simply subistitue 5 in 4x+2

4(5)+2

=22

What is the simple interest that is missing from the table?

Answers

Answer:

Calculate simple interest on the principal only, I = Prt. Simple interest does not include the effect of compounding.

what is 6 1/2 / 3 1/2? please help me!

Answers

Answer:

1 6/7

Step-by-step explanation:

Answer:

13/7 or 16/7, they are the same, just different ways of writing it.

Step-by-step explanation:

(6 1/2) / (3 1/2)

Convert to an improper fraction

(13/2) / (7/2)

To divide a fraction, find the  reciprocal of the second fraction, and multiply it by the first:

(13/2) * (2/7)

simplfiy

(13/7)

Which is the same as:

1 6/7

Find the total interest:
$40,900 at 6.2%
for 2 years

Answers

6.2% of 40,900 is $2535.8

To find out how much money it'll be in 2 year, you have to use multiplication.

2535.8 x 2 = $5071.6

The interest after 2 years is $5071.6

your welcome

PLEASE HELP ITS A TESTTT... To train for a marathon, Olivia runs 2 miles per day for the first week and then increases the daily distance by a quarter mile each of the following weeks. Write and equation to represent the NTH term of the sequence.​

Answers

Answer: 14

Step-by-step explanation:

please help I will mark brainiest

Answers

Answer:

dark blue {-3,3}

Step-by-step explanation:

Answer:

I think it's none of the above-

Step-by-step explanation:

I give you brainliest

Answers

Answer:

Problem 1:

H = (5,2)

I = (8, 4)

J (7,8)

K (3,8)

L (2,4)

Problem 2:

H (2, -4)

I (5,-2)

J (8, -4)

K (7, -8)

L (3, -8)

For problem 3 just use the coordinates points to plot/sketch the graph

Step-by-step explanation:

Sheila has 10 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 2 1/4 pounds. How many containers does she need? Complete the explanation.

Answers

Answer: 5  containers

Step-by-step explanation:

Step 1

Given that

Total amount of potato salad = 10 1/2

amount of salad in each container = 2 1/4

Total number of containers = ?

Step 2

Divide the total amount of potato salad by the amount of salad each container  can hold  

 Total number of containers=10 1/2 / 2 1/4 = 21/2 x 4/9= 84/18 = 4 3/5

which can also be written as 10.5 / 2.25= 4.6  

Sheila  will need 5 containers because  4 will be filled and  additional 1 will be partially filled.

What is 3 1/2 - 1 1/4


Subtract the fractions


Ty!

Answers

Answer:

The answer is 2 1/4. <3

Ordena los siguientes números decimales en una tabla en la que integres en la zona azul: UM, C, D, U, Punto decimal (.), Décimos, Centésimos, Milésimos, Diezmilésimos.

a) 4567.3456

b) 78.6549

c) 7.0909

Answers

Answer:

que?

Step-by-step explanation:

two intersecting lines cannot be both parallel to the same line ?
True or false​

Answers

Answer:

true it is true two inter

HELP!! Kate gets a paycheck twice a month. Every month, a total of $345.67 is deducted from her paychecks for taxes. If she has received 7 paychecks so far this year, which best represents the total effect the taxes have had on the amount she has earned??
–$2,419.69
–$1,209.85
$1,209.85
$2,419.69

Answers

The answer is 2,419.69

Answer:

d

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Jack has 3 bags of golf balls

Answers

Answer:

Good for Jack. (Whats the equation or question) I cant solve it is he only has golf balls, what happens to the golf balls??

Step-by-step explanation:

Karen picked apples at the Carter Apple Orchard this weekend. She made a graph to show how many apples she picked.

Karen ate 5 Fiji apples and dropped 4 Gala apples.
After Karen ate and dropped those apples, which two types have the same number of apples?
Choose 2 answers:
A) pink lady
B) rome
C) fiji
D) gala

Answers

Answer:

D

Step-by-step explanation:

I hope this help

Guillermo bought 5 bags of candy that cost $10 each. Each bag of candy came with 35 pieces of candy inside. How many total pieces of candy did Guillermo purchase?

Answers

Answer:

175

Step-by-step explanation:

multiply the number of pieces by the number of bags he  bought

Answer:

175

Step-by-step explanation:

5x35=175

PLESE HELP! Often when you buy something, you pay a percent of the price as a tax.
Suppose you pay a 7% tax on an item. What percent of the price of the item
will you pay?

Answers

You will pay 107% of the items price. Without tax, you would pay full price, or 100%. Because there is a 7% tax, though, you simply add that percent to 100.

Answer:

7% or 0.07

Step-by-step explanation:

I need to know the value of X and how to get the value of X.

Answers

Answer:

2

Step-by-step explanation:

take three off.

x+x=4

2x=4

x=2.

Hope this helps :D

Tell me a fun fact about horses will give BRAINLIEST to whoever tells me something I don’t know (I have been riding for 12 years) so I know a lot of things (also don’t tell me they can sleep standing up I already know that it’s kinda obvious)

Answers

Here are a few fun facts:

A 19th century horse named 'Old Billy' is said to have lived 62 years.

Horses can sleep both lying down and standing up.

Horses can run shortly after birth.

Horses have around 205 bones in their skeleton.

Horses have been domesticated for over 5000 years.

Horses use their ears, eyes and nostrils to express their mood.

Because horse’s eyes are on the side of their head they are capable of seeing nearly 360 degrees at one time.

The fastest recorded sprinting speed of a horse was 88 kph (55 mph). Most gallop at around 44 kph or 27 mph.

The Przewalski’s horse is the only truly wild horse species still in existence. The only wild population is in Mongolia. There are however numerous populations across the world of feral horses e.g. mustangs in North America.

I hope you learned something new!

find the value of x and y
(5y-23)
(2x+13)
(3x)
47​

Answers

Answer:

Hope it help, and please give me Brainlest!

Step-by-step explanation:

I just know this one. I'm so sorry!

2x + 13= [tex]\sqrt{x} = 5[/tex]; x + 9 = -4; [tex]4^{3x + 2} = 4[/tex]

The value of x and y in the given figure is 14° and 23° respectively.

What is a transversal?

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

We know vertically opposite angles are equal, and we also know that sum of all the interior angles of a triangle is equal to 180°.

∴ 47° + (2x + 13)° + (5y - 23)° = 180°.

47° + 13° - 23° + 2x + 5y = 180°.

2x + 5y = 143°...(i).

Now, We also know that when parallel lines are intersected by a transversal pair of alternate angles are equal and the sum of two adjacent angles is equal to 180°.

∴ 3x + (5y - 23)° = 180°.

3x + 5y = 157°...(ii)

Now subtracting eqn(i) from eqn(ii) we get x = 14°, and substituting the value of x in any of the equations we y = 23°.

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