Y=2x
Y=3x-10

What is the solution to the system of equations

Enter your solution as an ordered pair ( , )

Answers

Answer 1

[tex]\large \bf\blue{\bigstar\boxed{\pink{\frak{Solution}}}} \blue{ \bf\longmapsto}[/tex]

Y=2x. . . . (1)Y=3x-10. . . . (2)

put value of y in 1 eq in 2 eq

y= 3x - 102x = 3x - 10x = 10

Put value of x in 1 eq

y = 2xy = 2 × 10y = 20

Pair formed

(x , y) = (10,20)

Answer 2

The solution to the system of equations will be (x, y) = (10,20).

What is the equation?

In a mathematical equation, two expressions—which may or may not include variables or integers—are declared to be equal. The main motivations for the development of mathematics have been attempts to methodically address the underlying issues with equations.

It is given that, the equations are y=2x and y=3x-10.

Y=2x. . . . (1)

Y=3x-10. . . . (2)

put the value of y in 1 eq in 2 eq in order to find the value of x.

y= 3x - 10

2x = 3x - 10

x = 10

Put the value of x in 1 eq in order to get the value of y,

y = 2x

y = 2 × 10

y = 20

Pair formed

(x , y) = (10,20)

Thus, the solution to the system of equations will be (x, y) = (10,20).

Learn more about the equation here,

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Related Questions

what is 1+1
prove me why

Answers

Answer:

1+1=2

Step-by-step explanation:

as we know that one is made up of 1/2+1/2=1

so 1/2+1/2+1/2+1/2=2

hope this helps you

have a great day :)

Hey guys can anyone help me find the missing side length pls and ty

Answers

[tex]\bold{\huge{\green{\underline{ Solution}}}}[/tex]

[tex]\bold{\underline{ Given :- }}[/tex]

We have given a right angled triangle whose values are m, n and 2

[tex]\bold{\underline{ To \: Find :- }}[/tex]

We have to find the value of m and n

[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]

In the given right angled triangle, we have

Perpendicular height = n units Base = 2 unitsHypotenuse = m units

Now, By using trigonometric ratios

[tex]\bold{\pink{ Sin Φ = }}{\bold{\pink{\frac{Perpendicular }{Hypotenuse}}}}[/tex]

[tex]\bold{\red{ Cos Φ = }}{\bold{\red{\frac{Base}{Hypotenuse }}}}[/tex]

[tex]\bold{\blue { tan Φ = }}{\bold{\blue{\frac{Perpendicular }{Base }}}}[/tex]

According to the question :-

[tex]\bold{ Cos \: 45° = }{\bold{\frac{2}{m}}}[/tex]

[tex]\bold{ 1/√2= }{\bold{\frac{2}{m}}}[/tex]

[tex]\bold{\red{ m = 2√2 \: units }}[/tex]

We know that , Sum of Angles of triangle is 180° .

Therefore,

Let the unknown angle be x

[tex]\sf{ 45° + x + 90° = 180° }[/tex]

[tex]\sf{ x = 180° - 135 ° }[/tex]

[tex]\sf{ x = 45° }[/tex]

Now,

[tex]\bold{ Cos \: x° = }{\bold{\frac{n}{2√2}}}[/tex]

[tex]\bold{ Cos \: 45° = }{\bold{\frac{n}{2√2}}}[/tex]

[tex]\bold{ 1/√2= }{\bold{\frac{n}{2√2}}}[/tex]

[tex]\bold { n = 2√2/√2 }[/tex]

[tex]\bold{\red{ n = 2\: units }}[/tex]

Thus, The value of m = 22 and n = 2

[tex]\sf{\blue{ Hence, \: option \: D \: is \: Correct }}[/tex]

Sense you have your answer already….

According to all known laws of aviation, there is no way a bee should be able to fly. Its wings are too small to get its fat little body off the ground. The bee, of course, flies anyway because bees don't care what humans think is impossible.

The area of an equilateral triangle varies directly as the square of side s. What is the equation

Answers

Answer:

A = ks^2

I hope this helps :D

Which expression is equivalent to

Answers

Answer:

10³⁰

Step-by-step explanation:

firstly working out without the power of 3

[tex]( \frac{10 {}^{15} }{10 {}^{5} } )[/tex]

this is the same as 10¹⁵ ÷ 10⁵

here the bases are the same and it's division so we subtract the powers

15 - 5 = 10

10¹⁵ ÷ 10⁵ = 10¹⁰

we are left with (10¹⁰)³, multiply the powers

10 × 3 = 30

final answer = 10³

Hey there!

(10^15/10^5)^3


10^15

= 1,000,000,000,000,000


10^5

= 10 * 10 * 10 * 10 * 10

= 100 * 100 * 10

= 10,000 * 10

= 100,000


(1,000,000,000,000,000/100,000)^3

= (10,000,000,000)^3

= 10,000,000,000 * 10,000,000 * 10,000,000

= 100,000,000,000,000,000 * 10,000,000

= 10^30


Therefore, your answer is: 10^30


Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

make L and h the subject of formula
[tex]V = \frac{1}{2} LBH[/tex]

Answers

Answer:

[tex]V = \frac{1}{2} LBH \\ \\ \\ LH =V \div ( \frac{1}{2} B) \\ \\ LH =V \times \frac{2}{B} \\ \\ \\LH = \frac{2V}{B} [/tex]

What is the distance between (-4, 2) and (-4, -4)

Answers

Answer:

use Pythagoras theorem and a graph to be fluent in this

Step-by-step explanation:

answer is 2sqr(7)

Use the distance formula to determine the distance between two points.
10

Write an equation of the circle with center (6,7) and radius 9.

Please help thanks.

Answers

Answer:

6,16

Step-by-step explanation:

Find the slope of the line passing through the points (8, -2) and (1, -6).​

Answers

Answer:

[tex]\frac{4}{7}[/tex]

Step-by-step explanation:

The equation for slope is:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We can plug in the given points into the equation:

[tex]Slope=\frac{-6-(-2)}{1-8}=\frac{-6+2}{-7}=\frac{-4}{-7}=\frac{4}{7}[/tex]

Polynomials help me please

Answers

Answer:

(x³+2x²-2x)-(-3x³+4x²-x)

(x³+2x²-2x)+(3x³-4x²+x)

(x³+3x³)+(2x²-4x²)+(-2x+x)

4x³-2x²-x ----you may write till here.

But, if not satisfied, factorize it

x(4x²-2x-1)

please mark brainliest

There are 15 female performers in a dance recital. The ratio of men to women is 2:5. How many men are in the dance recital?

Answers

Hello there! :)I'll be glad to help you! :)

Answer:

There are 6 men in the dance recital.

Step-by-step explanation:

We have a ratio of 2:5, men to women. If there are 15 female performers we can do a cross multiplication to find the males performers:

Then it will be

[tex]\tt \frac{15}{x} =\frac{5}{2}[/tex]

[tex]\tt 5x=15*2[/tex]

[tex]\tt 5x=30[/tex]

[tex]\tt x=\frac{30}{5}[/tex]

[tex]\tt x=6[/tex]

[tex]\tt Therefore,there~are~6~Men~at~the~dance[/tex]

-Thanks for choosing Brainly!

-Have an Awesome day

-Nature-

What’s the correct answer for this?

Answers

Answer:

-20/3

Step-by-step explanation:

m = ∆y/∆x

∆y = -8 - 12 = -20

∆x = 8 - 5 = 3

Hence m= ∆y/∆x = -20/3

Given the function f(x) = x + 1 and the linear function g(x), which function has a greater value when x = 2?

f(x) is greater.

g(x) is greater.

f(x) and g(x) are the same when x = 2.

g(x) is undefined when x = 2.

Answers

Answer:

F(x) is greater.

Step-by-step explanation:

f(2) = 2 + 1

(2,3)

Have a good day!

Answer:

F(x) is greater.

Step-by-step explanation:

Solve the following recurrence relation:
[tex]A_{n}=a_{n-1}+n; a_{1} = 0[/tex]

Answers

By iteratively substituting, we have

[tex]a_n = a_{n-1} + n[/tex]

[tex]a_{n-1} = a_{n-2} + (n - 1) \implies a_n = a_{n-2} + n + (n - 1)[/tex]

[tex]a_{n-2} = a_{n-3} + (n - 2) \implies a_n = a_{n-3} + n + (n - 1) + (n - 2)[/tex]

and the pattern continues down to the first term [tex]a_1=0[/tex],

[tex]a_n = a_{n - (n - 1)} + n + (n - 1) + (n - 2) + \cdots + (n - (n - 2))[/tex]

[tex]\implies a_n = a_1 + \displaystyle \sum_{k=0}^{n-2} (n - k)[/tex]

[tex]\implies a_n = \displaystyle n \sum_{k=0}^{n-2} 1 - \sum_{k=0}^{n-2} k[/tex]

Recall the formulas

[tex]\displaystyle \sum_{n=1}^N 1 = N[/tex]

[tex]\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2[/tex]

It follows that

[tex]a_n = n (n - 2) - \dfrac{(n-2)(n-1)}2[/tex]

[tex]\implies a_n = \dfrac12 n^2 + \dfrac12 n - 1[/tex]

[tex]\implies \boxed{a_n = \dfrac{(n+2)(n-1)}2}[/tex]

What is the solution to the equation below?
square root + 9 = 11

Answers

Answer:

A. x = 4

Step-by-step explanation:

[tex]\sqrt{4} +9=2+9=11[/tex]

Hope this helps

Answer:

     A.  [tex]x =4[/tex]

Step-by-step explanation:

[tex]\sqrt{x} + 9 = 11[/tex]

[tex]\sqrt{x} = 11-9[/tex]

[tex]\sqrt{x} = 2[/tex]

[tex]x = 2^2[/tex]

[tex]x =4[/tex]

A swimming pool is to be constructed in a 1,408-ft2 backyard. There is to be a fence that will surround a 12-by-24-foot pool. The pool builder wants to build a concrete paver deck of a uniform width, x, surrounding the pool and filling the entire area of the backyard. What is the width of the pool deck?

9 ft
10 ft
11 ft
12 ft

Answers

Answer:

B. 10 ft

Step-by-step explanation:

Let the width of the pool deck be x.

Dimensions of the pool are 12 + 2x and 24 + 2x.Total area is 1408 ft².

We have equation:

(12 + 2x)(24 + 2x) = 140812*24 + 12*2x + 24*2x + (2x)² = 1408288 + 72x + 4x² = 14084x² + 72x + 288 - 1408 = 04x² + 72x - 1120 = 0x² + 18x - 280 = 0x² - 10x + 28x - 280 = 0x(x - 10) + 28(x - 10) = 0(x - 10)(x + 28) = 0

1)

x - 10 = 0x = 10

2)

x + 28 = 0x = - 28 (discarded as negative)

Correct choice is B

The width of the pool deck is 10 feet (x = 10).

So, the answer is option B: 10 ft.

Here, we have to find the width of the pool deck, we need to calculate the total area occupied by the pool and the deck and then find the value of x that makes the total area equal to 1,408 square feet.

First, let's calculate the area of the pool.

The pool is 12 feet by 24 feet:

Area of the pool = Length × Width

Area of the pool = 12 ft × 24 ft

Area of the pool = 288 ft²

Now, we want to add the deck around the pool.

The length and width of the entire area (pool + deck) will be (12 + 2x) feet and (24 + 2x) feet, respectively, because we add x feet to both sides of the pool.

Area of the entire area (pool + deck) = (12 + 2x) ft × (24 + 2x) ft

We want this area to equal 1,408 square feet:

(12 + 2x) ft × (24 + 2x) ft = 1,408 ft²

Now, we can solve for x:

(12 + 2x) × (24 + 2x) = 1,408

Expand the equation:

288 + 48x + 24x + 4x² = 1,408

Combine like terms:

4x² + 72x - 1,120 = 0

Now, let's solve this quadratic equation for x.

We can either factor it or use the quadratic formula:

Using the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a

where a = 4, b = 72, and c = -1,120.

x = (-(72) ± √(72² - 4 * 4 * -1,120)) / 2 * 4

x = (-72 ± √(5,184 + 17,920)) / 8

x = (-72 ± √23,104) / 8

x = (-72 ± 152) / 8

Now, we have two possible solutions:

x = (-72 + 152) / 8

x = 80 / 8

x = 10

x = (-72 - 152) / 8

x = -224 / 8

x = -28

Since we are interested in a positive width for the deck, the width of the pool deck is 10 feet (x = 10).

So, the answer is option B: 10 ft.

To learn more on Area click:

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A number of runners enter a race. The times that each runner finished is based on every hour. Five runners finished the race in 5 hours, 11 finished in 4 hours, 7 finished in 3 hours, 14 finished in 2 hours, and 21 finished the race in an hour.

1) Construct a histogram from the data below:

Answers

The histogram for the data is given at the end of this answer.

What is an histogram?

An histogram is a graph that shows the number of times each element of x was observed.

In this problem:

The elements of x are given by the time in hours.The histogram shows the number of runners that finished the race in x hours.

Hence, the graph given at the end of this answer is the histogram.

You can learn more about histogram at https://brainly.com/question/2962546

Brainliest if correct

Answers

10

Answer:

[tex] - 1(2)( - 5) \\ - 2 \times ( - 5) \\ = 2 \times 5 \\ 10[/tex]

Answer:

10

Step-by-step explanation:

-1(2)(-5)

-1(-10) = 10

[RevyBreeze]

Help please due today.

Answers

Answer:

I think its 2nd one

HOPE IT HELPS, BE SAFE! Brainiest if possible pls! :)

A square has a perimeter of 36 cm.
What is the length of each side?

Answers

If the perimeter of a square is 36 then the length of one of its sides is 9 units.

Answer:

9cm

Step-by-step explanation:

a square has 4 equal sides therefore if you divide 36 by 4 you will get the length of 1 side

What is the width and height of this triangle?

Answers

Answer:

The base is 6.69 and the height is 6.02 (these are rounded to the nearest hundredth)

Step-by-step explanation:

soh-cah-toa

cos 42 = adjacent/9

adjacent = cos 42 x 9

adjacent = 6.69

sin 42 = opposite/9

opposite = sin 42 x 9

opposite = 6.02

What is the value of x ? (Make sure you give the value of x !!!!)

A 20 degrees
B 50 degrees
C 30 degrees
D. 40 degrees

Answers

Answer:

The value of x is 20 degrees.

Step-by-step explanation:

The three angles of a triangle must equal 180 degrees.

100 + 40 + 2x = 140 + 2x

180 - 140 = 40 (goal)

2(x) = 40

2(20) = 40

A) 20 degrees

How do we find the equivalent ratio of 8/20 PLS HELP ITS RLLY IMPORTANT!!!!

Answers

Answer:

2/5, 4/10, 6/15, 8/20, 10/25, 12/30, 14/35, 16/40, 18/45, 20/50, 22/55, 24/60, 26/65, 28/70, 30/75, 32/80, 34/85, 36/90, 38/95, 40/100 ...

Your cell phone costs $50 a month plus $0.25 for each text message, (t). How much would your monthly bill be if you sent 40 text messages?

Your total monthly bill would be $____
if you sent 40 text messages.

Answers

Answer:

$60

Step-by-step explanation:

40 text messages × .25 each = $10. Plus the $50 per month is $60.

Answer:

it should be $60 a month

The area of a parallelogram is 48 ft. If the base of the parallelogram is 8 feet, what is its height?
8 feet
6 feet.
5 feet
7 feet

Answers

[tex]\textit{area of a parallelogram}\\\\ A=bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ A=48\\ b=8 \end{cases}\implies 48=8h\implies \cfrac{48}{8}=h\implies 6=h[/tex]

Help need because i´m stuck

Answers

Answer:

  594 in²

Step-by-step explanation:

There are several ways to do this.

divide the shaded region into rectangles, and add their areasdivide the shaded region into trapezoids and add their areassubtract the white space from a bounding rectangle.

Given the way the figure is dimensioned, the last strategy is the easiest.

A rectangle that surrounds the entire figure will be 36 inches wide and 22 inches high. The white space rectangle in the lower right corner is shown to be 18 inches wide and 11 inches high.

The area of a rectangle is the product of its length and width:

  A = LW

So the difference in area between the "bounding" rectangle and the whitespace rectangle is ...

  shaded area = (36 in)(22 in) -(18 in)(11 in) = 792 in² -198 in²

  shaded area = 594 in²

_____

Additional comment

You can also recognize that the dimensions of the cut out corner are each half the overall dimensions. That means the shaded area is 3/4 of the overall "bounding" rectangle. There are several ways you can make use of that fact.

In a chess club, 75% of the members are boys. Of these boys, 8% have hazel eyes. If 6 boys have hazel eyes, how many people are in the chess club.
Define a variable for the unknown quantity.

Answers

Percentage

8% x 75%.x = 6

0.06x = 6

x = 100

If f(x) = 2x + 1 and g(x) = x^2, the function (gοf)(x) is:

Answers

Answer:

4x² + 4x + 1

Step-by-step explanation:

to evaluate (g ○ f)(x) , substitute x = f(x) into g(x)

g(f(x))

= g(2x + 1)

= (2x + 1)² ← expand using FOIL

= 4x² + 4x + 1

I need the answer and quick, please!
0.65 T = _ lb

Answers

Answer:

Step-by-step explanation:

1 ton = 2000 pounds

thus:

0.65T * (2000lb / 1 T) = 1300 lbs

Hope that helps!

Find the perimeter of the figure to the right

Answers

Answer:

241/20 or 24.05 0r 481/20

Step-by-step explanation:

First simply your fractions

then add 6+4 to your fractions !!

Answer:

24 1/20 meters

Step-by-step explanation:

To find perimeter, you add all the side lengths.

6 4/5 + 4 + 6 + 7 1/4 = 24 1/20

Find the value of b.
A 57
B 50
C 123
D 61.5

Answers

Answer: The answer is 50

Step-by-step explanation:

I did the test

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People tend to perceive things __________ a. in complex ways, and they assume that everyone perceives things in the same way. b. in different ways, and they assume that everyone perceives things differently. c. in different ways, but they assume that everyone perceives things in the same way. d. in the same way, but they assume that everyone perceives things differently. e. in the same way, and they assume everyone perceives things in the same way. How did the Filipinos use their knowledge and skills to enrich Filipino culture? Solve.[tex]2 5/6 + (-1 4/12) =[/tex] As blood volume decreases, blood pressure ____________ . If greater than ____________ of the blood volume is lost from the blood vessels, the ____________ division of the autonomic nervous system (ANS) is activated, bringing about ____________ vasoconstriction of blood vessels, increased heart rate, and force of heart contraction in an attempt to maintain blood ____________ . These processes are effective in maintaining blood pressure until approximately _______ what is 2x4+1???? please help Use this model to calculate 3/8 2/6 . A grid is shown with 8 rows and 6 columns. The top 2 rows are colored blue. The left 3 columns are textured. These colors and textures overlap on 6 cells indicated by the first 3 columns of the top two rows. A. 16 18 B. 13 24 C. 6 48 D. 5 48 Please help me fill in this chart! I can't figure out the formulas!!! 15 points to whoever solves this!!! Uncle Ulysses can obtain an additional 10 hours of painting capacity free of charge by training hisinterns to paint. If he did this, how would his profits be affected?A) Profit would increase by $6.92.B) Profits would increase by $1.58.C) Profits would decrease by $20.D) Cannot tell from the information provided "If I have only one life, let me live it as a blonde," a larger-than-life-sized picture of a pretty, vacuous womanproclaimed from newspaper, magazine, and drugstore ads. And across America, three out of every ten womendyed their hair blonde. They ate a chalk called Metrecal, instead of food, to shrink to the size of the thin youngmodels. Department-store buyers reported that American women, since 1939, had become three and four sizessmallerThe underlined terms in this excerpt most relate to which issue?O societal pressure on women to look a certain wayO societal pressure on women to be content and fulfilledO societal pressure on women to forgo their career aspirationsO societal pressure on women to pursue a life in show business why did the new deal happen Hey i rlly want to be done with thiss lol don't delete;-; 7. How should a writer use pacing to influence the way a reader experiences the events of a story?PLEASEE HELP!! Mrs. Smith is ordering binders for her students. Each book costs $1.75 and there is a $5.50 flat fee for shipping. Which expression represents the total cost to ship b books?A. (1.75 + 5.50)B. 5.50 + 1.75C. 1.75D. 1.75 + 5.50 how to maintain large processors In the graph to the right, are lines L, and L2 perpendicular? Explain.0 0Choose the correct statement belowNAC10O A. Yes, the lines L, and L, are perpendicular because the product of theirslopes equals - 1O B. No, the lines L, and Ly are not perpendicular because the product oftheir slopes equals - 1OC. No, the lines L, and I are not perpendicular because the product oftheir slopes does not equal - 1OD. Yes, the lines L, and Ly are perpendicular because the product of theirslopes does not equal - 1.ET The isosceles triangle has a perimeter of 7. 5 m. Which equation can be used to find the value of x if the shortest side, y, measures 2. 1 m? 2 x minus 2. 1 equals 7. 5 4. 2 plus y equals 7. 5 y minus 4. 2 equals 7. 5 2. 1 plus 2 x equals 7. 5. (PLEASE HELP IM GONNA RUN OUT OF TIME, WILL BE GIVING BRAIN!!) How did the February Revolution affect Tsar Nicholas's rule?O He had to fight against Leon Trotsky and the Bolsheviks.O He turned over power to the Bolsheviks and Lenin.O He promised to create an elected body called the Duma.O He was forced to abdicate his throne in March of 1917. What kind ofdemocracy do wehave in the UnitedStates? I need to find x, y and z. Can someone help me? There is a population of 5 bacteria in a colony. If the number of bacteria doubles every 31 minutes, what will the population be 62 minutes from now? Write your answer in the box