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

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

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

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.

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.

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

Learn more about exponents and power here:

https://brainly.com/question/15722035

#SPJ2

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

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

It would be √2 x n - 5 = 10.

Answer: Yes, he does.

Step-by-step explanation:

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

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

Answer:

but how many people does she serve

Answer:

124 tiles

Step-by-step explanation:

2(20+40)

2(60)

120+4=124

Answer:

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

Step-by-step explanation:

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.

[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]

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:

https://brainly.com/question/1601404

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

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

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

Answer:

-14

Step-by-step explanation:

Remember that a negative times a positive is negative:

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

Answer: All except Irrational

Step-by-step explanation:

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

Answer:

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

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

do the math

Answer:

heres my fake account and name

Step-by-step explanation:

Answer:

18 Tala

Step-by-step explanation:

6/2= 3

3*6= 18

18 Tala

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!!!!!!!!!

Answer:

1

Step-by-step explanation:

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

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

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

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

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