Katrina is solving the equation -2(x+3)= 4(2x+3)-(x+4). Which equivalent equations might Katrina use? Check all that apply. Ox-2x-6=8x+12-x-4 O x-2x+6= 8x+ 12- X+4 Ox-2x-6-8x+12-X+4 O x-2x+3 = 8x+3 - X+4 0-x-6-7x+8 O-x+6=7x+16 0-x-6-7x+16 O-X+3 = 7x+7​

Answers

Answer 1

Step-by-step explanation:

-2x-6=8x+ 12-x-4

x-2x-6=8x+12-4

Answer 2

-2x - 6 = 7x + 8 or -9x - 6 = 8 are the equivalent equation.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

To solve the equation -2(x+3)= 4(2x+3)-(x+4), Katrina can use equivalent equations obtained by simplifying each side of the equation using the distributive property, combining like terms, and solving for x.

One possible equivalent equation is:

[tex]-2(x+3)= 4(2x+3)-(x+4)\\-2x - 6 = 8x + 12 - x - 4 \\-2x - 6 = 7x + 8[/tex]

Another possible equivalent equation is:

[tex]-2(x+3)= 4(2x+3)-(x+4)\\-2x - 6 = 8x + 12 - x - 4\\ -2x - 6 = 7x + 8\\-9x - 6 = 8\\-9x = 14 \\x = -14/9\\[/tex]

Therefore, the equivalent equations that Katrina can use to solve the original equation are:

-2x - 6 = 7x + 8 or -9x - 6 = 8

Learn more about expression here:

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Related Questions

I need help with question 5

Answers

Answer:Hi!

where is the question?

       

Step-by-step explanation:

Translate the sentence into an Inequality.
The sum of 6 and x is less than or equal to - 20.

Answers

The sum of 6 and x is less than or equal to - 20.

Answer:  (6+x) ≤ -20

How many decimals in multiplication.

Answers

Answer:

In multiplication of a decimal by a decimal number we will learn how to find the product of a decimal by another decimal.

To multiply a decimal number by a decimal number, we first multiply the two numbers ignoring the decimal points and then place the decimal point in the product in such a way that decimal places in the product is equal to the sum of the decimal places in the given numbers.

Ram's income is 35% more than that of Anil's income. By what percent is Anils incomes less than Ram's income? Step by step answer pls i rly need it

Answers

Answer:

100%-35%=75%

so ex-

if ram has an in income is 500

than anil is 35%lower than his so,anil has an income of 350 which is 35%less tan 500.

Answer:

25.9%

Step-by-step explanation:

anil = 100%

ram = 135%

fraction  Anils income is of Ram's income

anil/ram = 100/135

a/r = 0.7407407407

74.1%

percent  Anils income is less than Ram's income?

100% - 74.1% = 25.9%

I need #8 done (Show work) will mark brainliest

Answers

Answer:

see explanation

Step-by-step explanation:

Since BD bisects ∠ ABC , then

∠ ABD = ∠ DBC , substitute values

3x + 4 = 55 ( subtract 4 from both sides )

3x = 51 ( divide both sides by 3 )

x = 17

Step-by-step explanation:

Statement                                          Reason

BD bisects ∠ABC                              Given

m∠ABD = (3x + 4)°, m∠DBC = 55°    Given

∠ABD ≅ ∠DBC                                  Definition of angle bisector

3x + 4 = 55                                         Definition of congruence

3x = 51                                                Subtraction property

x = 51/3                                               Division property

x = 17                                                   Proved

can someone please help​

Answers

E, C, F are the answers.

-5+5(x-7)=-40+5x solve for x

Answers

Answer: all real numbers

Step-by-step explanation:

A line passes through the points (1, 4) and (3 -4). Which is the equation of the line?

Answers

Answer:

Step-by-step explanation:

(-4 - 4)/(3 - 1)= -8/2= -4

y - 4 = -4(x - 1)

y - 4 = -4x + 4

y = -4x + 8

answer is option 1

what are the values of each variable

Answers

Answer:

x=14

Step-by-step explanation:

2x+4=3x-10

Add 10 to both sides, leaving you with

2x+14=3x

Subtract 2x from both sides, leaving you with

x=14

X=14

2x+4=3x-10
4=x-10
14=x

A 10 kg computer accelerates at a rate of 5 m/s2.how much force was applied to the computer

Answers

Answer:

50 N

Step-by-step explanation:

Given :-

Mass = 10 kg

Acceleration = 5 m/s²

To find

Force applied

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 10 × 5

We have the final answer as

50 N

(Hope this helps can I pls have brainlist (crown)☺️)

Question :-

A 10 kg computer accelerates at a rate of 5 m/s2.how much force was applied to the computer?

Required Solution :-

The force applied on the computer is 50 N.

Provided that :-

The mass of the computer is 10 kg The acceleration is 5 m/s²

To Calculate :-

The force applied on the computer.

Using Formula :-

Force = Mass × Acceleration

Calculation :-

[tex]\purple{\longrightarrow \sf Force = Mass \times Acceleration}[/tex]

[tex]\longrightarrow \sf Force = 10 \; kg \times 5 \; m/s^2[/tex]

[tex]\longrightarrow \sf Force = 50 \; kgm/s^2[/tex]

[tex]\longrightarrow {\pink{\underline{\underline{\sf{ Force_{(Applied )} = 50 N }}}}}[/tex]

Henceforth :

The force applied on the computer is 50 N.

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if a +b = 100, then the value of 3 (a+b) is:

Answers

Given info:- If a +b = 100, then the value of 3 (a+b) is:

Solution:-

a + b = 100

Therefore, 3(a+b)

= 3(100)

= 300.Ans

Read more:

Similar Questions

Find the value of a*b* if n = 3, a = 100, and b=1/4..

https://brainly.com/question/15990855?referrer

evaluate 1000 x 1.2
help asap!!

Answers

Answer:

1200

hello i love to help

Five positive integers have
 a mode of 9,
 and a median of 7,
 and a mean of 6.
What is the greatest possible range of the five integers?

Answers

Answer:

5

Step-by-step explanation:

The mean is 6 and there are 5 intergers.

You'd multiply 5*6=30. That means that the sum is 30.

The values could be: 2 3 7 9 9

These values add up to 20

Have a mode of 9

Have a median of 7

Have a mean of 6

To find the range you would subtract 9 and 2. That gives you 5.

(i don't know if that's the greatest possible range. But 5 would be the range here)

I don’t know how to do this…

Answers

Step-by-step explanation:

f^-1 means the inverse function that finds the x responsible for the creation of a given y (functional result) value.

y = 3x - 1

3x = y + 1

x = 1/3(y + 1)

and now we rename x to y and y to x, so that we get a normal function definition :

y = 1/3(x + 1) = (1/3)x + 1/3

now we create the first derivative d/dx of this function :

y' = 1/3

since both f(x) and f^‐1(x) are line functions with a constant slope, it is not surprising that the first derivative (the function of the slope of the base function) is a constant function.

so, for any value of x (incl. the requested x = 11) d/dx f^-1(x) = 1/3.

therefore also d/dx f^-1(11) = 1/3.

y = 2×sqrt(x)

sqrt(x) = y/2

x = y²/4

again we rename the variables, so that we get a normal function definition for the inverse function :

y = x²/4

the first derivative is :

y' = 2x/4 = x/2

so, d/dx f^-1(6) = 6/2 = 3

Use the inverse function theorem: if f(x) is continuously differentiable at x = a, and given f(a) = b, then f is invertible around x = a, and

[tex]\left(f^{-1}\right)'(b) = \dfrac1{f'(a)}[/tex]

Both the given functions f(x) meet the conditions above. Note that you don't need to actually compute the inverse function itself.

If f(x) = 3x - 1, then f(x) = 11 when

3x - 1 = 11   ⇒   3x = 12   ⇒   x = 4

Now if f(4) = 11, it follows from the inverse function theorem that

[tex]\left(f^{-1}\right)'(11) = \dfrac1{f'(4)} = \boxed{\dfrac13}[/tex]

since f'(x) = 3.

If f(x) = 2√x, then f(x) = 6 when

2√x = 6   ⇒   √x = 3   ⇒   x = ±9

But note that f(x) is defined only for x ≥ 0, so we must take x = 9. Now if f(9) = 6, the inverse function theorem says

[tex]\left(f^{-1}\right)'(6) = \dfrac1{f'(9)} = \dfrac1{\frac1{\sqrt9}} = \boxed{3}[/tex]

since f'(x) = 1/√x.

Help please will mark brainliest if correct

Answers

Answer: x = 1 and x = -1

12 lbs of
potatoes
for $15.00
OR
8 lbs of
potatoes
for $9.20

Answers

Answer:

12 lbs for $15

Step-by-Step Solution:

12 / $15 = $0.80

8 / $9.20 = $0.87

hi! can someone please help me with these i’m confused on how to answer it

Answers

Answer:

Step-by-step explanation:

5) You roll a fair six-sided die twice. The
first roll shows a one and the second roll
shows a three.independent or dependent?

Answers

Answer:

Happy Chrismas My friend.

Please simplify
(6-√-16)+(-4+√-25)

Answers

Answer:

2+i

Step-by-step explanation:

solve for b please. last one​ 33 points

Answers

Answer:

32

Step-by-step explanation:

6^2= b^2 + 2^2

b^2 = 36- 4

b^2= 32

b= √32

Answer:

√32

Step-by-step explanation:

The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.

6² - 2² = b²

36 - 4 = b²

32 = b²

Chance has hired a construction crew to renovate his kitchen. They charge $3.57 per square foot for materials and $122.22 per day
of labor. Chance spent $3,411.87 on the renovation. If the number of square feet is 251 more than the number of days it took for the
renovation, how long did the renovation take?

Answers

Im sorrry two sirrryyy

Surds[tex]5\sqrt[3]{24}-\sqrt[3]{192}[/tex]

Answers

Answer:

  6∛3

Step-by-step explanation:

  [tex]\displaystyle 5\sqrt[3]{24}-\sqrt[3]{192}=5\sqrt[3]{2^3\cdot3}-\sqrt[3]{4^3\cdot3}\\\\=(5\cdot2-4)\sqrt[3]{3}=\boxed{6\sqrt[3]{3}}[/tex]

_____

The cubes under each radical can be brought out. Coefficients of like radicals can be combined.

what is 90 plus 60 plus 7x-12

Answers

[tex]90+60+ 7x -12 = 7x+138[/tex]

A taxi service charges an initial fee plus $1.80
per mile. How far can you travel for $12
?



What information do you need in order to be able to solve the problem?

Answers

12 divide by 1.8 then round down

Answer:

You would need the intial fee in dollars/cents

Expression:

c=initial fee

x=amount of miles

[tex]1.80x+c=12[/tex]

Step-by-step explanation:

You would need the intial fee in dollars/cents

Expression:

c=initial fee

x=amount of miles

[tex]1.80x+c=12[/tex]

Write 63 as the product of prime factors
HOW AM I WRONG???

Answers

Answer:

Since, the prime factors of 63 are 3, 7. Therefore, the product of prime factors = 3 × 7 = 21.

Step-by-step explanation:

Answer:

3x3x7

Step-by-step explanation:

Dw worry ur not wrong but mathswatch sometimes doesnt want you to simplify it and want you to write it all out :P

Hope this helps! :)

Calculate the missing terms in each proportion.

◼:11 = 11:121
5:2:1 = ◼:14:◼
1.5:◼:2.4 = 6:5:◼

Please Help me!

Answers

Answer:

1:11=11:121

5:2:1=35:14:7

1.5:1.25:2.4=6:5:9.6

Step-by-step explanation:

x/11=11/121 so x equals 1

5/2=x/14 so x equals 35

1.5/x=6/5 so x equals 1.25

1.25:2.4=5/x so x equals 9.6

I just need someone to explain this to me.

Answers

Answer:

23.6

Step-by-step explanation:

Answer:

23.6 is the correct answer

Is y= - 4x + 1 proportional

Answers

Answer:

Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph. So yes it does equal a proportional relationship.

Hope this helps :)

Answer:

Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph. So yes it does equal a proportional relationship.

Step-by-step explanation:

Yw

4. Find a polynomial function of degree 3 with the given zeros. Write your answer in the form:
Ax) = ax + bx² + cx+d
x= -2, x=-1, x=2

Answers

Answer:

I'm assuming the equation "Ax) = ax + bx² + cx+d" is really meant to read:

A(x) = ax^3 + bx² + cx+d

A(x) = x^3 + x^2 -4x -4

Step-by-step explanation:

(x+2)*(x+1)*(x-2)      [This reflect the fact that x= -2, x=-1, x=2 all result in a zero]

Multiply this out to get A(x) = x^3 + x^2 -4x -4

Bài 43 sgk trang 225 và làm thêm giùm mình phần d và phần e trong ảnh nhoa :>

Answers

Answer:

Are male and female children treated differently in your family? Have your parents had different experiences for their sons and daughters? Write a narrative essay recounting one or more incidents that illustrate these differences (or lack of differences) . If you and your siblings are all the same gender, or if you are on only child, write about another family you know well.​

Step-by-step explanation:

Are male and female children treated differently in your family? Have your parents had different experiences for their sons and daughters? Write a narrative essay recounting one or more incidents that illustrate these differences (or lack of differences) . If you and your siblings are all the same gender, or if you are on only child, write about another family you know well.​

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