\begin{aligned} &y=2x +1 \\\\ &x-y=-3 \end{aligned} ​ y=2x+1 x−y=−3 ​ Is (2,5)(2,5)left parenthesis, 2, comma, 5, right parenthesis a solution of the system?

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

Given the system of equations

[tex]\begin{aligned} &y=2x +1 \\\\ &x-y=-3 \end{aligned}[/tex]

We want to determine if (2,5) is a solution of the system.

We can do this by substitution of the given point into the equations and see if it holds.

Given (x,y)=(2,5), x=2, y=5

In the first equation

y=2x+1

5=2(2)+1

5=5

Therefore, the point (2,5) satisfies the first equation.

In the second equation

[tex]x-y=2-5=-3[/tex]

Since our result (-3) is equal to the Right Hand Side, the point also satisfies the second equation.

Therefore, (2,5) is a solution of the system.


Related Questions

what is the quotient of 5.76×7 and 9.0×10 to the fourth power expressed in scientific notation?

Answers

Answer:

4.48 ×10^-4

Step-by-step explanation:

Now putting the sentence into a mathematical relationship (recall that quotient is the result of division). We have;

5.76 ×7 / 9.0×10^4 = 40.32/90000= 4.48 ×10^-4

Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It is commonly used by scientists, mathematicians and engineers.

The general format for writing scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one. a may also be expressed as a decimal as in the answer above. a may also be equal to or greater than 10 as the case maybe. b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number.

A store sells a 114 pound package of turkey for $9.

​What is the unit price of the turkey in the package?


Answers

Answer:

Each pound of turkey in the package cost 7.20 dollars.

Step-by-step explanation:

If you wanted a explanation then comment

Answer:

$7.20

Step-by-step explanation:

The first step is to convert 1 1/4 to decimal form. 1/4=0.25, which when added to the 1 gives a total weight of 1.25 pounds. Dividing this by the price to find the unit price, you get 9/1.25=$7.20 per pound of turkey. Hope this helps!

write the measurement 1357 mm into the place value table below
m I cm I mm
I I

Answers

Answer:

m=1.357 cm=135.7 mm=1357

Step-by-step explanation:

m=1357 Divided by 1000

cm=1357 Divided by 10

The measurement 1357 mm into the meters, centimeters, and mm are 1.357, 13.57, and 1357 respectively.

What is unit conversion?

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

It is given that:

The measurement is 1357 mm

As we know,

1 m = 100 cm

1 cm = 10 mm

Or

1 m = 100 cm = 1000 mm

The measurement is 1357 mm

It can be converted into m after dividing by 1000

= 1357/1000

= 1.357 m

In cm:

Divide by 10

= 1357/10

= 13.57

Thus, the measurement 1357 mm into the meters, centimeters, and mm are 1.357, 13.57, and 1357 respectively.

Learn more about the unit conversion here:

https://brainly.com/question/11543684

#SPJ2

14 in.
2 in.
2 in.
3 in.
3 in.
The volume of the figure
cubic in.

Answers

Answer: 9 cubic inches

Plot the the points on the graph where the height of the tunnel is a maximum and where the height of the tunnel is zero feet.

Answers

Answer: 79 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this Helps ;)

John can clean pools at a constant rate of 3/5 pools/hours. How many pools can John clean in 10 hours?

Answers

Answer:

30/5=  6

Explicción:

Lo  utliplicas yl odivides ..m

Answer:

'peqdrit 8urehudhvh dn dhdhs c ch

Step-by-step explanation:

wehvcfkb,x bgc hd bhnld uhurheb egjyr g ehu just tryna get me some points

Which of the following is not a credit card perk? A. Cash back B. Hotel Points C. apr D. Air Miles

Answers

Answer:

C

Step-by-step explanation:

ahahahahhahahahahahahahhahahannooooooooooooooooonoooo

Answer:

APR

Step-by-step explanation:

Just answered on A p e x

14 in.
2 in.
2 in.
3 in.
3 in.
The volume of the figure
is
cubic in.

Answers

Answer: 68 inch

Step-by-step explanation:

a train 150 metre long is running at 72 kilometre per hour it crosses a bridge in 13 seconds find the length of the bridge​

Answers

Answer:

Length of the bridge = 110 m

Step-by-step explanation:

Let the length of the bridge be x m.

Total distance covered by train in 13 sec = length of train + length of bridge = (150 + x) m

[tex]speed \: of \: train \\ = 72 \: kmph \\ = 72 \times \frac{1000}{3600} \: mps \\ = 20 \: mps \\ \because \: distance = speed \times time \\ \therefore \: 150 + x = 20 \times 13 \\ \therefore \: 150 + x = 260 \\ \therefore \:x = 260 - 150 \\ \huge \red{ \boxed{\therefore \:x = 110 \: m}}[/tex]

mps means meter per second

Find the difference. Write your answer in simplest form. 4 7/9 - 2 2/3

Answers

Answer:

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

Step-by-step explanation:

[tex]4 \frac{7}{9} - 2 \frac{2}{3} \\ \frac{43}{9} - \frac{8}{3} \\ \frac{43 - 24}{9} \\ = \frac{19}{9} \\ = 2 \frac{1}{9} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Evaluate ab + c for a = 2, b = 3, and c= 4.
010
27
9

Answers

The answer is 9

Two plus three is equal to 5, plus four equals to 9

Answer:10

Step-by-step explanation:

answer is 10, plug in your numbers and you have 2(3) + 4. 2x3=6, add 4 and you get 10

What is the volume of the figure?

Answers

Answer:

[tex] 2268 \: mm^3 [/tex]

Step-by-step explanation:

Volume of figure = Area of base * height

[tex]18 \times 9 \times 14 \\ = 2268 \: {mm}^{3} [/tex]

Gita is a single taxpayer earning $50,000 in wages this year.


In addition, she received $750 in nonqualified dividends and $2,500 in capital gains from a stock she held for 10 months.

Use the following tables to complete the statement.


Single Taxpayers: Income Brackets

Tax Rate Income Bracket

10% 0 to 9,525

12% 9,526 to 38,700

22% 38,701 to 82,500

24% 82,501 to 157,500

32% 157,501 to 200,000

35% 200,001 to 500,000

37% > 500,000

Single Taxpayers: Qualified Dividends and Long-Term Capital Gains

Tax Rate Income Bracket

0% 0 to 38,600

15% 38,601 to 425,800

20% > 425,800

Gita must pay $ (blank) in taxes on her investment income.

Answers

Answer:

Gita must pay $ 487.50   in taxes on her investment income

Step-by-step explanation:

Without mincing words Gita falls into income tax brackets of $38,601 and $425,800 from qualified dividends and long-term capital gains perspective since he had wages of $50,000 and other income totaling  $3,250($2500+$750)

As a result,the taxes on her investment income of $3,250 is 15% of the investment income.

investment income taxes=$3,250*15%=$ 487.50  

Answer:

$715

Step-by-step explanation:

Someone please help :3

Answers

Answer:

favorite zoo animal

Step-by-step explanation:

Answer: Favorite zoo animal

Step-by-step explanation:

WIll RATE BRAINLIST PLZ HELP

Answers

Answer:

  4396

Step-by-step explanation:

The following transformations are defined:

  R: {1, 2, 3, 4} ⇒ {3, 2, 1, 4}

  B: {1, 2, 3, 4} ⇒ {2, 1, 3, 4}

  Y: {1, 2, 3, 4} ⇒ {1, 4, 3, 2}

Then the sequence RYBRY performs the transformation ...

  {1, 2, 3, 4} ⇒ {3, 2, 1, 4} ⇒ {3, 4, 1, 2} ⇒ {4, 3, 1, 2} ⇒ {1, 3, 4, 2} ⇒ {1, 2, 4, 3}

And the sequence BRYB performs the transformation ...

  {1, 2, 3, 4} ⇒ {2, 1, 3, 4} ⇒ {3, 1, 2, 4} ⇒ {3, 4, 2, 1} ⇒ {4, 3, 2, 1}

___

If we swap the last two digits of the first result, we will get the original number back: 6934.

If we swap the digits end-for-end, we will then get the result of the second transform: 4396.

Had Ali performed the second sequence on her original number, she would have gotten 4396.

xyz, for x = 2y = 3, and z = 10

Answers

Answer:

2y=3 = y = 3/2 = 1.500

 z = 10     =   z = 10

Steps below

Step-by-step explanation:

Solving a Single Variable Equation

Add  3  to both sides of the equation :  

                     2y = 3

Divide both sides of the equation by 2:

                    y = 3/2 = 1.500

Hope this helps.

When a number is increased by 28%, the result is 47. What is the original number to the nearest tenth?

Answers

Answer:

The original number was 36.7.

Step-by-step explanation:

Multipliers:

The multiplier for a increase of a% is 1 + a/100.

The multiplier for a decrease of b% is 1 - b/100.

In this question:

The original value is x.

Increased by 28%, so we have that 1 + (28/100) = 1.28x. Equals 47. We have to find x.

1.28x = 47

x = 47/1.28

x = 36.7

The original number was 36.7.

Multiply the following numbers.

18.4 x 7.1 =

130.64
1,306.4
13.064
1.3064

Answers

its 130.64 first one

Answer:

The first one

Step-by-step explanation:

you would do 18.4 times 7.1 which is 130.64 which is equal to 130.64 which is the first answer

Hope this helped

(・∀・(・∀・(・∀・*)

Check all that apply

Answers

Answer: 3 y -6

x=3 and x=-6

The discriminant of the equation x2 + x - 30 = 0 is?

The solution(s) of the equation x +x-30 = 0 is/are?

Answers

Answer:

discriminant: 11solutions: -6, +5

Step-by-step explanation:

Comparing your equation to the standard form, we can find the values necessary to compute the discriminant:

  x^2 +x -30 = 0

  ax^2 +bx +c = 0

So, we have ... a = 1, b = 1, c = -30

The discriminant is defined as ...

  d = √(b² -4ac) = √(1² -4(1)(-30)) = √121

  d = 11

The solutions are ...

  x = (-b ± d)/(2a) = (-1 ±11)/2

  x = {-6, +5}

What is the value of X in the equation below 1/3×12 X -24 equals 16

Answers

Answer: The answer should be X=10

Step-by-step explanation: Trust me  I actually know what I'm talking about.

Which of the following is the result of expanding 5 £ n=1 (2n-2)?

Answers

Answer:B on edge (15.5)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Emily bought 15 books at a cost of 172.50. What is the cost of each book if they cost the same.

Answers

Answer:

11.50

Step-by-step explanation:

172.50 divided by 15= 11.50

Hope it helps

Mark me Brainliest

Answer:

11.5

Step-by-step explanation:

Cara is painting her living room. The room measures 10.6 feet by 11.6 feet. The ceiling is 10 feet
high
If paint covers 400 square feet, per gallon, and costs $14.95 a gallon, how much will it cost to paint
Cara's room?

Answers

Answer:

$29.90

Step-by-step explanation:

Can you only buy paint by the gallon?  That is what I am thinking.  

She is painting 4 walls.  I am thinking that she is not painting the floor or the ceiling.

The area of the four walls would be:

(11.6 x 10) = 116

(11.6 x 10) = 116

10.6 x 10) = 106

(10.6 x 10) = 106

This totals 444 square feet.  Since a gallon can only paint 400 square feet, she will need to buy 2 gallons for 29.90

TRUE or FALSE:
(a) Two lines parallel to a third line are parallel.
(b) Two lines perpendicular to a third line are parallel.
(c) Two planes parallel to a third plane are parallel.
(d) Two planes perpendicular to a third plane are parallel.
(e) Two lines parallel to a plane are parallel.
(f) Two lines perpendicular to a plane are parallel.
(g) Two planes parallel to a line are parallel.
(h) Two planes perpendicular to a line are parallel.
(i) Two planes either intersect or are parallel.
(j) Two lines either intersect or are parallel.
(k) A plane and a line either intersect or are parallel.

Answers

Answer:

Please see below

Step-by-step explanation:

The answers of True or False are given considering that the given statements correspond to lines and planes in a three-dimensional space.

(a) Two lines parallel to a third line are parallel.   True

(b) Two lines perpendicular to a third line are parallel.  False

(c) Two planes parallel to a third plane are parallel.  True

(d) Two planes perpendicular to a third plane are parallel.  False

(e) Two lines parallel to a plane are parallel.  False

(f) Two lines perpendicular to a plane are parallel.  True

(g) Two planes parallel to a line are parallel.  False

(h) Two planes perpendicular to a line are parallel.

(i) Two planes either intersect or are parallel.  True

(j) Two lines either intersect or are parallel.  False

(k) A plane and a line either intersect or are parallel. True

The true and false statements are as follows:

(a) Two lines parallel to a third line are parallel.   True

(b) Two lines perpendicular to a third line are parallel.  False

(c) Two planes parallel to a third plane are parallel.  True

(d) Two planes perpendicular to a third plane are parallel.  False

(e) Two lines parallel to a plane are parallel.  False

(f) Two lines perpendicular to a plane are parallel.  True

(g) Two planes parallel to a line are parallel.  False

(h) Two planes perpendicular to a line are parallel.

(i) Two planes either intersect or are parallel.  True

(j) Two lines either intersect or are parallel.  False

(k) A plane and a line either intersect or are parallel. True

learn more: https://brainly.com/question/2514933?referrer=searchResults

Pablo is 4 feet 10 inches tall. what is his height in inches?

Answers

Answer:

The answer is 58

Step-by-step explanation:

12 times 4 = 48

48 plus 10 = 58

1 foot = 12 inches

The table shows the number of free throws a player makes in a basketball game and the number of points the player scores in the game.

Number of free throws vs. Number of Points Scored
Number of free Throws Made (f) | Numbers of Points Scored (s)
5 15
3 11
8 20
7 18
9 21

Alex used a regression calculator to find the equation of the trend line y = a x + b for the data in the table. He rounded the values for a and b on his calculator as shown below.

a = 1.7
b = 6.2

Which trend line compares the data in the table?

s = 1.7 f + 6.2
s = 6.2 f + 1.7
f = 1.7 s + 6.2
f = 6.2 s + 1.7

Answers

Answer:

The regression equation of the data will be:

[tex]s=6.2f+1.7[/tex]

Step-by-step explanation:

A simple linear regression equation is used to estimate the value of the dependent variable based upon the independent variable.

The general form of a simple linear regression equation is:

[tex]y=a+bx[/tex]

Here,

y = dependent variable

x = independent variable

a = intercept

b = slope

The data is provided for the number of free throws a player makes in a basketball game and the number of points the player scores in the game.

The free throw in a basketball game implies that for every throw shot made the player receives point.

This implies that the points scored are based upon the number of free throws made by a player.

So, the dependent variable is the number of points scored and the independent variable is the number of free throws a player makes.

Then the regression equation of the data will be:

[tex]s=6.2f+1.7[/tex]

Answer:

y = 1.7x + 6.2

Step-by-step explanation:

read the problem closely to figure out S and F. I can guarentee that if you read the entire thing, you will know if the answer is. It is either choice one or three

If u have 40 dollars which is 8 times more money than Jefferson has how much money does Jefferson have

Answers

Write it as an equation, letting the amount Jefferson has equal x:

40 = 8x

Solve for x by dividing both sides by 8:

X = 40/8

X = 5

Jefferson has $5

Question 2
0/1 pts
A design for a building has a scale of 1/3 inch = 4 meters. On the blueprint
(drawing of the building), the length of the building is 2 2/3 inches. What is the
actual length of the building?​

Answers

Answer:

  32 m

Step-by-step explanation:

The length of the building on the drawing is 2 2/3 = 8/3 inches, so represents a length that is 8 times the length represented by 1/3 inch.

  8 × 4 m = 32 m

The actual length of the building is 32 meters.

Which system of equations can be used to find the roots of the equation 4 x Superscript 5 Baseline minus 12 x Superscript 4 Baseline + 6 x = 5 x cubed minus 2 x?

Answers

Answer:

D) StartLayout Enlarged left-brace 1st row y = 4 x Superscript 5 Baseline minus 12 x Superscript 4 Baseline + 6x 2nd row y = 5 x cubed minus 2 x EndLayout

Step-by-step explanation:

Edg test

Answer:

d

Step-by-step explanation:

plain and simple

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