Solve the following system: y = x 3 2x y = 9 (2, 5) (5, 2) (â’2, 5) (2, â’5).

Answers

Answer 1

The required solution of the equation is (2,5). The correct option is A. (2,5).

Given equations,

[tex]y=x+3.....(1)\\2x+y=9......(2)[/tex]

How to solve a system of equations?

putting the value of y from eq. 1 in eq. 2 we get,

[tex]2x+x+3=9\\3x=9-3\\3x=6\\x=2[/tex]

putting the value of x=2 in eq. 1 we get,

[tex]y=2+3\\y=5[/tex]

Hence, the required solution of the equation is (2,5).

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Related Questions

Simplify.

8^15÷8^−3

Enter your answer as a number to a power, using the ^ symbol to indicate exponents. For example, to enter 4253, type it like this: 42^53

PLEASE THIS HAS TAKEN ME AN ENTIRE DAY I HAVE NO IDEA HOW TO DO THIS

Answers

Answer:

[tex]8^{18}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]8^{15}[/tex] ÷ [tex]8^{-3}[/tex]

= [tex]8^{(15-(-3))}[/tex]

= [tex]8^{(15+3)}[/tex]

= [tex]8^{18}[/tex]

The simplified form is 8^18

What are Exponents?

The exponent of a number shows how many times the number is multiplied by itself. For example, 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power." In general, xn means that x is multiplied by itself for n times.

Properties of Exponents

The properties of exponents or laws of exponents are used to solve problems involving exponents. These properties are also considered as major exponents rules to be followed while solving exponents. The properties of exponents are mentioned below.

Law of Product: am × an = am+nLaw of Quotient: am/an = am-nLaw of Zero Exponent: a0 = 1Law of Negative Exponent: a-m = 1/amLaw of Power of a Power: (am)n = amnLaw of Power of a Product: (ab)m = ambmLaw of Power of a Quotient: (a/b)m = am/bm

Given:

8^15÷8^−3

Using

a^m / a^n = a^( m-n)

So,

8^15÷8^−3

=8^(15-(−3))

=8^(15 +3)

=8^18

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Find the product
(-2) (7)

Answers

Answer:

-14

Step-by-step explanation:

Remember that a negative times a positive is negative:

(-2)(7) = -(2)(7) = -14

-14; because + and a negative equal a negative

Can someone plz help me?

Answers

Answethe answer is 12

Step-by-step explanation

Answer:

13 i think

Step-by-step explanation:

if x is 4 and you div then it become 3 then you square the other 3 thats 9 then you add and boom its 13

Is 0.5 x 10^4 = 50,000? or 5,000? PLEASE SOMEONE HELP ME WITH THISS. Just tell me if is one of those!! If you see this help me rn bc i gotta do this rn LOL

Answers

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\boxed{\mathbf{0.5\times10^4}}\\\large\boxed{\mathbf{= 0.5\times10\times10\times10\times10}}\\\large\boxed{= \mathbf{0.5\times100\times100}}\\\large\boxed{= \mathbf{0.5\times 10,000}}\\\large\boxed{\mathbf{= 5,000}}\\\\\huge\text{Therefore, your answer should be: \boxed{\textsf{5,000}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

mr. jessup and mr allen i ready mathematics pages 77 and 78

Answers

If this is i-ready it shouldn’t be difficult nor should you be using Brainly if it’s a diagnostic or something.

heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour heather works on their hair style.as back to school special she offers to lower her price per hour by $5 what equation represents the total amount paid to heather,y,after x hours of hair styling​

Answers

Answer:

y = 5 + 7x

Step-by-step explanation:

So 5 is going to be a constant factor. So Y is gonna equal 5 plus something. 12 dollars for every hour is 12x and there is a 5 dollar discount. 12-5 = 7 and so it is 7 dollars per hour.

So the total cost Y equal the constant 5 and 7x

Y = 5 + 7x

WILL GIVE BRAINLY,5 STARS,AND THANKS

Answers

Answer: Yes, he does.

Step-by-step explanation:

55 x 12 = 600 Also can I see the answers for the question



its graphing linear inequalities
if u can help that would be nice

Answers

it is y>_ 5/3x+3 that’s the answer

Answer:

y>_ 5/3x+3 is the answer.

Step-by-step explanation:

Solve the following inequality.
20 < 8

Answers

Answer:

x > 12/7

x > 1  5/7

Step-by-step explanation:

7x + 8 > 20

Subtract 8 from each side

7x+8-8 > 20-8

7x > 12

Divide each side by 7

7x/7 > 12/7

x > 12/7

Changing to a mixed number

x > 1 5/7

A swimming pool is 20 feet wide and 40 feet long. If it is surrounded by a walkway of square tiles, each is 1 foot by 1 foot, how much area do the pool and walkway cover?

Answers

Answer:

124 tiles

Step-by-step explanation:

2(20+40)

2(60)

120+4=124

The Kennedy High School band has 117 members. The band
director is planning rectangular formations for the band.
What formations could he make with all the band members?

Answers

Answer:

  1×117, 3×39, 9×13, 13×9, 39×3, 117×1

Step-by-step explanation:

The prime factorization of 117 is ...

  117 = 3²·13

Divisors of 117 are 1, 3, 9, 13, 39, 117. Possible formations would be ...

  1×117, 3×39, 9×13, 13×9, 39×3, 117×1

What is the median of these numbers 9, 10, 6, 5, 6

Answers

Answer:

6.

Step-by-step explanation:

First you put the numbers in order, 5, 6, 6, 9, 10 then you find the number in the middle, which in this case is 6.

Write the equation of the line in slope-intercept form that passes through (-3, -5) and (0, 4).

Answers

Answer:

y = 3x + 4

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 )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 5 ) and (x₂, y₂ ) = (0, 4 )

m = [tex]\frac{4-(-5)}{0-(-3)}[/tex] = [tex]\frac{4+5}{0+3}[/tex] = [tex]\frac{9}{3}[/tex] = 3

The line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = 3x + 4 ← equation of line

PLEASE HELP ASAP What is the m and b for this graph??

Answers

Answer:

m = - 1 and b = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line

m = [tex]\frac{-3-2}{2-(-3)}[/tex] = [tex]\frac{-5}{2+3}[/tex] = [tex]\frac{-5}{5}[/tex] = - 1

b is the y- intercept, that is where the graph crosses the y- axis.

line crosses the y- axis at (0, - 1 ) ⇒ b = - 1

HELP ME GUYS PLEASE!!! :)

Answers

Answer:

(10,-2)

Step-by-step explanation:

You can see that the first equation has already given as x-isolated equation aka x = 10.

With this, you can substitute x = 10 in the second equation 3x+5y = 20 then solve for y.

3(10)+5y=20

30+5y=20

Subtract both sides by 30.

5y=-10

Divide both sides by 5.

y=-2

So from x = 10 and y = -2, we can write as (10,-2) in coordinate form.

Answer:

(10,-2)

Step-by-step explanation:

since they already give u x, u can just sub it into the other equation

3(10)+5y=20

30+5y=20

5y=20-30

5y=-10

y=-2

Find the
17th
term of the arithmetic sequence whose common difference is d=5 and whose first term is a1 = 1.

Answers

The [tex]17th[/tex] term of the arithmetic sequence is [tex]81[/tex]

An arithmetic sequence is a sequence of numbers produced by adding a fixed number, called the common difference, to a term in the sequence to get the next term of the sequence.

The formula for calculating the [tex]nth[/tex] term of a sequence is

[tex]a_n=a_1+(n-1)d[/tex]

where

[tex]a_n=\text{the nth term}\\a_1=\text{the first term}\\d=\text{the common difference}[/tex]

from the question

[tex]n=17\\d=5\\a_1=1[/tex]

from this information, we can calculate the [tex]17th[/tex] term of the sequence thus

[tex]a_n=a_1+(n-1)d\\a_{17}=1+(17-1)\times5\\=81[/tex]

so, [tex]a_n=81[/tex]

Learn more about arithmetic sequences here: https://brainly.com/question/16130064

If 3 Superscript 2 x 1 Baseline = 3 Superscript x 5, what is the value of x? 2 3 4 6.

Answers

The value of x that will make the expression equal is 4. Option B is correct.

Given the indices expression;

[tex]3^{2x+1} = 3^{x+5}[/tex]

Since the base values are the same, they will cancel out to have:

[tex]2x + 1 = x + 5[/tex]

Collect the like terms:

[tex]2x - x = 5 - 1\\x = 4\\[/tex]

Hence the value of x that will make the expression equal is 4

Learn more on indices here: https://brainly.com/question/10339517

Answer:

the correct option is C which is 4

Step-by-step explanation:

jesus loves you!!!!!!!!!

Which statement is true about the relationship between the amount of plant food remaining and the number of days

Answers

Answer:

This relationship is not a function because more than one amount of plant food remains each day.

Step-by-step explanation:

i hope this is correct but sorry if im wrong

hey i really need help its 11:32 where I am and this assignments due at 12:00
please!!!!​

Answers

%/100 =is/of
Good equation our teacher taught us and the one you’re looking for put x

Answer:

3: 67 5:200% 6: 50% 7: 32 8) 20

Step-by-step explanation:

"The square root of two times a number subtract five is equal to ten."

Answers

It would be √2 x n - 5 = 10.

How much warmer is 82 than -40?
Pls help

Answers

Answer:

122 degrees

Step-by-step explanation:

Take the warmer temperature and subtract the colder temperature

82 - (-40)

82+40

122

The difference is 122

Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many tala would she get if she exchanged $6?

Answers

Answer:

18 Tala

Step-by-step explanation:

6/2= 3

3*6= 18

18 Tala

Iain serves 3 cups of coffee every 4 minutes.

Answers

Answer:

but how many people does she serve

Which property of equality should Wade use to solve the equation StartFraction x Over 6 EndFraction = 3?

Answers

The property of equality Wade would use to solve the equation StartFraction x Over 6 EndFraction = 3 is multiplication property of equality.

Given:

StartFraction x Over 6 EndFraction = 3

x / 6 = 3

apply multiplication property of equality by crossing multiply

x = 3 × 6

x = 18

check:

x / 6 = 3

18 / 6 = 3

3 = 3

Therefore, the property of equality Wade would use to solve the equation StartFraction x Over 6 EndFraction = 3 is multiplication property of equality.

Learn more about property of equality:

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Answer:

C) Multiplication property of equality.

Step-by-step explanation:

Did the test, but it's because to cancel the division, you need to multiply. in this case, they'd multiply by six to cancel the fraction or x/6.

x/6=3

x/6x6=3x6

x=18

hope this helps

The x-intercept of the graph of f(x)= 3 log (x+5)-2 is

Answers

Answer:

26

Step-by-step explanation:

do the math

Can someone please
Help me with this graph

Answers

Answer:

graph the slope and the -2

Step-by-step explanation:

first, plot a point at (0,-2) because of the -2 as the y intercept

then, start graphing ur slope

ur next points should be

(2,-1), (4,0) (6,1) and so on

If the Plane moves at 253km southwest and the wind blows from 60' south east.

Calculate the Age of the Pilot.

Answers

20 should be the answe

Answer 1-2 no links or reported.​

Answers

Answer:

1

Step-by-step explanation:

Ok done. Thank to me :>

what is -7/9 x -2/3 in simplest form

Answers

Answer:

heres my fake account and name

Step-by-step explanation:

What type of number is 12/3?
Choose all answers that apply:

A) Whole number

B) Integer

C) Rational

D) Irrational

Pls help it’s for a test

Answers

Answer: All except Irrational

Step-by-step explanation:

12/3 = 4, 4 is an integer, a whole number, and it is rational.

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