Answer two questions about Equations AAA and BBB: \begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned} A. B. ​ ​ 4 x ​ +1 x+4 ​ =−3 =−12 ​ 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Rewrite one side (or both) using the distributive property (Choice B) B Rewrite one side (or both) by combining like terms (Choice C) C Multiply/divide only one side by a non-zero constant (Choice D) D Multiply/divide both sides by the same non-zero constant 2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No

Answers

Answer 1

The given equations are as follows

[tex]\begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned}[/tex]

(1) First, multiply both sides of equation A by 4, we have

[tex]4\times\left(\frac{x}{4} +1\right)=4\times(-3)[/tex]

Then, rewrite the left-hand side of the above equation by using the distributive property, we have

[tex]4\times\frac{x}{4}+4\times1=4(-3)[/tex]

[tex]\Rightarrow x+4=-12[/tex]

This is the required equation B.

In this way, first use choice D: Multiply both sides by the same non-zero constant, i.e 4.

Then, apply choice A to solve the equation, i.e using the distributive property to solve the left-hand side of the equation.

(2) In the previous answer, equation B has been derived from equation A, hence, both the equations are equivalent.

As both the equations are the same, so both will have the same solution.

Yes, they have the same solution.


Related Questions

Find y, at and tu I need help please help

Answers

Answer:

there is no picture... but i will try my best to help you if you post picture in another question

i can’t see the picture, i wish i could help :(

PLZ HELP NOW!! In a group of 75 fourth graders, 21% do not like Skittles. How many students like Skittles? AND PLEASE SHOW WORK LOL

Answers

Answer:

[see below]

Step-by-step explanation:

In a group of 75 fourth graders, 21% do not like Skittles.

This means that 79% of people do like Skittles.

75 * .79 = 59.25 ≈ 59

59 students should like skittles.

Hope this helps.

1) Mrs. Houser is baking cookies for an elderly neighbor. She decides to make half of this cookie recipe since she doesn't need the whole thing. Look at the recipe and then answer the questions below ​

Answers

Answer:What’s the question that we have to answer?

Step-by-step explanation:

Answer: it would be 2 1/3 cups

Step-by-step explanation:

Evaluate the expression when a=-4 and x=5.

a-2x

Answers

Answer:

That would be -14.

Step-by-step explanation:

Answer:

it's -14 when u evaluate a-2x

Please help will make brainiest !!

Answers

Answer:

CB = 13.75

Step-by-step explanation:

Since we know that A, B, and C are the midpoint of the sides, we know that line CB is proportional to QR (by 2)..

So, 27.5/2 = 13.75

Please help it's four am and I really hate math

Answers

Answer:

A

Step-by-step explanation:

number books = n

2xn / 15

solve for b and simplify -17=-3/2b

Answers

Answer:

b = 34/3

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

-17 = -3/2b

Step 2: Solve for b

Rewrite:                                       -3/2b = -17Divide both sides by -3/2:          b = 34/3

Step 3: Check

Plug in b to verify it's a solution.

Substitute:                    -17 = -3/2(34/3)Multiply:                        -17 = -17

HELP ME ASAP! TYSMMM

Ten family size bags of chips cost $15.00. What is the cost per bag? How much would 11 bags cost?

Answers

Answer:

Each bag is $1.50. 11 bags would cost $16.50.

Answer:

Each bag would cost 1.50$.

15.00$ / 10 = 1.5$

1.5 = 1.50

______________________

11 bags:

1.5 x 11 = 16.5

16.5 = 16.50$

11 bags would cost 16.50$

David,Jenny and Dan went to the arcade on Wednesday. David spent $3.25 Jenny spent $2.25 more than Dan,who spent $1.75 less than David how much did the spend in all

Answers

Answer: I believe it is 3.75-

Step-by-step explanation:

David: 3.25

Jenny: 2.25 more than Dan

Dan: 1.75 less than David

  3.25

-  1.75

_______

  1.50

Dan spent 1.50

  1.50

+ 2.25

 3.25

_______

$7.00

factorise the following:
[tex]{3x}^{2} + 5x - 12[/tex]

Answers

Answer:

(x + 3)(3x - 4)

Step-by-step explanation:

Given

3x² + 5x - 12

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 12 = - 36 and sum = + 5

The factors are + 9 and - 4

Use these factors to split the x- term

3x² + 9x - 4x - 12 ( factor first/second and third/fourth terms )

= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term

= (x + 3)(3x - 4)

Thus

3x² + 5x - 12 = (x + 3)(3x - 4) ← in factored form


For f(x) = -5x +9, find f'(15)

Answers

f(x) =-5x+9
f(x) =-5(15)+9
f(x) =- 75+9
f(x)=-66
your answer is -66 :)

find the circumcenter

Answers

Answer: (0, -2)

Step-by-step explanation:

HELP MEEEEEEEE PMEASE
In order!!!

Answers

Step-by-step explanation:

The value of all the angles in a triangle add up to 180.

So to find x do 180-(66+52)

The angle opposite of x is the same value as x

X+E or X+Z are both equal to 180.

Where is the function decreasing?

A.-3 < x < 1

B.-∞< x < -3 and 1 < x < 4

C. 1 < x < 4

D.-∞< x < 1

Answers

Answer:

A. -3 < x < 1

General Formulas and Concepts:

Reading a Cartesian PlaneAnalyzing a Graph

Step-by-step explanation:

"When is the function decreasing" is saying when the graph is going down.

Calculus-wise, we are finding when the slope of the tangent line is negative.

From the graph, we see it decreasing from -3 to 1. Everywhere else is increasing.

Therefore, our interval decreasing is from (-3, 1).

Write the absolute value equation given the transformations
shifts right 5 units
shifts up 2 units
is reflected
is stretched by 0.5

Answers

Answer:

y = - 0.5 | x - 5 | + 2

Step-by-step explanation:

g(x) = |x|

[tex]1^{st}[/tex] step - shifts right 5 units: g(x + 5) = | x - 5 |

[tex]2^{nd}[/tex] step - shifts up 2 units: g(x + 5) + 2 = | x - 5 | + 2

[tex]3^{rd}[/tex] step - reflected: - g(x + 5) + 2 = - | x - 5 | + 2

[tex]4^{th}[/tex] step - stretched by 0.5: y = - 0.5 | x - 5 | + 2

y = - 0.5 | x - 5 | + 2

Which point lies on the graph of the equation 3x+y=9

A. (-1,9) b. (9,0) c. (1,1) d. (0,9)

Answers

Correct answer:

D. (0,9)
The answer to your question is D

help me please and thank you​

Answers

the answer is x^9 also use photmath they explain why and give the the answer for equations like this

PLZ help fast I need this I’ll give brainliest

Use the drop-down menus to complete each statement.
The equations x = 1 + 3t and y =-1 + 6t describe a line with a slope of
The equations x = 5 cost and y = 5 sint describe a
X2
A hyperbola with equation
.
= 1 can be parametrized similar to the circle and ellipse.
62
q?
if x = a sec t is one of the parmetric equations, the other will be y =

Answers

Answer:

1. 2

2.circle

3.b tan t

Step-by-step explanation:

The slope of the equations x = 1 + 3t and y = -1 + 6t is 6, the equations x = 5 cos t and y = 5 sin t describe a circle and if x = a sec t is one of the parametric equations, the other will be y =b tan t

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The equation x = 1 + 3t and y = -1 + 6t can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

In this case, m = 6, which is the slope of the line.

The equations x = 5 cos t and y = 5 sin t describe a circle.

These equations define the parametric form of a circle with a radius of 5 centered at the origin.

if x = a sec t is one of the parametric equations, the other will be y =b tan t

Hence, the slope of the equations x = 1 + 3t and y = -1 + 6t is 6, the equations x = 5 cos t and y = 5 sin t describe a circle and if x = a sec t is one of the parametric equations, the other will be y =b tan t

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

What type of number is: 5? What type of number is 0?

Answers

Answer:

0 is rational

5 rational so u are correct

Step-by-step explanation:

Step-by-step explanation:

0 is Rational

5 is Rational is you are correct

please help i don't understand this

Answers

Answer:

Sorry.........................

Pls anyone help i will give brainlist

Answers

Answer:

D

Step-by-step explanation:

sry if im wrong i tried

Answer:

0; 1; 2; 3. The slopes are 2, 0, 1, 3 from top to bottom, but from least to greatest it is 0, 1, 2, 3

Pls help meeee. Given 2

Answers

Uh is there more? If not it’s 2

Answer:

think 2 could be wrong

Brainlest pls

Step-by-step explanation:

x

What is the value of k?

Answers

Answer:

k =5

Step-by-step explanation:

triangle =180

180-115=65

65-10-5=50

50/ (4+6)= 5

You bought 15 apples and 2 bags of Carmel for $16.00. The bags of caramel costs $5.35. How much does each apple cost? Write an equation.

Answers

Answer:

5.35*2+x=16 and the answer is $.35

Step-by-step explanation:

5.35*2+x=16

10.70+x=16

-10.70     -10.70

x=5.30

5.30/15= about .35

Answer

$12.65/15

Step-by-step explanation:

$16.00-$5.35=$12.65

This means that $12.65/15 is the cost of each apple.

Brianna wants to use a pontoon boat on Saturday at the lake. She has exactly
$200 to spend on the boat rental. The rental is $30 an hour plus a $80 deposit.
How many hours can she rent the pontoon boat for? Create and solve an
equation for this situation.

Answers

Answer:

Step-by-step explanation:

She has 200

80 deposit - 200= 120 left to spend

80+30h=200

If she has 120 left to spend at 30 hr, she could have the boat for 4 hrs

80+30h=200 subtract 80 from both sides

30h=120 divide by the 30

h=4

what is proportional to 35/80​

Answers

Answer:

nhi pta... pdhai dhang se kiya kro

each 6 cup container costs 2.95 . How much did Henry's mom spend on lemonade?

Answers

Answer:

Henry's mom spent $17.70 on lemonade.

Step-by-step explanation:

6 x 2.95 = 17.7

What is the quotient of (3x^4 – 4x^2 + 8x – 1) ÷ (x – 2)

Answers

Answer:

2      3    0   -4    8

+            6    12   16

       3    6     8    24

A:3x^3+6x^2+8x+24/x-2

Answer:

(3x^4-4x^2+8x-1)÷(x-2)

CHOOSE THE CORRECT CORRESPONDENCE.

TS <>

A. Side RU
B. Side TU
C. Side RT

Answers

Answer:

i believe its B side Tu

Step-by-step explanation:

I believe it’s C, but please correct me if I’m wrong!

2. Find the value of x.
17x - 3
17X-13-ax+3
9x + 13

Answers

Answer: X=3.25

Explanation:
17(3.25)-13=42.25
9(3.25)+13=42.25

Can you give me brainliest? Thank you if you do. Have a good day!

Based on the HL congruence rule, the value of x, is calculated as:

x = 2.

How to Find the Value of x in the Triangle Using the HL congruence theorem?

Both triangles that share the same side and have corresponding angle 90 degrees and a pair of corresponding congruent hypotenuse are congruent  to each other based on the HL congruence theorem.

This means that:

17x - 3 = 9x + 13

Solve for the value of x:

17x - 9x = 3 + 13

8x = 16

Divide both sides by 8:

8x/8 = 16/8

x = 2

The value of x is: 2.

Learn more about HL congruence theorem on:

https://brainly.com/question/29615095

#SPJ6

Other Questions
What do you have to increase a number by to change it's place value Will give brainiest SurdsStep by step explanation please on this questionMake sure to use Surds Electromagnetic waves do not need to carry blank. Electromagnetic waves carry enough through matter, but they also carry enough energy through empty blank in a vacuum. inspection before I sold it. When I drove up, the place looked likesomething out of a horror movie: an old, rotting Victorian mansion withturrets and cobwebs. I stepped inside, took one look at the spookyinterior, and turned around to leave.Which final sentence to the paragraph would likely create the most suspense?A. "Not this time, ghosts!" I shouted as I left the place. B. I screamed and ran from the house as fast as I could.C. I then drove straight to the nearest real estate office.D. That's when I realized the door had locked behind me.SU A machine has mechanical advantage 2,what does it mean? i really need help!!!! i need answer to c: if a sample contains 20g of an isotope that has a half life of 1000 years how much will be left after 2000 years The cougars baseball team played 16 games last year and won 12 of them. They are scheduled to play 28 games. If they end up winning the same percentage,how many games will they win? Pls help ASAP!! The plasma membrane is selectively permeable. It allows some substances to enter and leave the cell unrestricted while others are restricted. Some toxins produced by certain bacteria cross the plasma membrane, interfering with normal chemical reactions, and ultimately killing the affected cell. Why are cells unable to stop the flood of these harmful substances into the cell A truck moving due south takes a turn and starts moving towards east while maintaining the same speed.Its velocity remains constant.It covers unequal distances in equal intervals of time.Its velocity changesNone of the above an object travels at 20 m/s for 20 seconds. how far has it traveled? .PLEASE HELP .Dynasty Means ___________________Immersive ReaderA) A line of rulers all from the same familyB) A line of rulers from the same armyC) A line of military rulersD) A rocky area of a riverThe cataracts caused problems because it _________________Immersive Reader A)Destroyed boats that could not see them B) Armies could not chop them down C) It did not last long in wet climate D) Was a new type of writing not one knewThe Delta was ______________________________________________Immersive ReaderA) Ancient paperB) Rocky fast moving waterC) A reed that grew in the NileD)A fan like marsh at the end of a riverPlease helpp. Describe one theory of forgetting. (Psychology) Just part A please as soonnn as possible I need help!!! Thanks! Which of the following explains why some plants look green?Your AnswerAchlorophyll is the main plant pigment and it absorbs mainly wavelengths of light that areBchlorophyll is the main plant pigment and it transmits mainly wavelengths of light that archlorophyll is the only type of plant pigment found in leavesx plants contain different pigments which absorb and transmit different wavelengths of ligiBackC chlorophyll is the only type of plant pigment found in leaves A music store has 1,440 CDs. Each CD rack holds 90 CDs. How many racks does the store need to use to hold all the CDs? i think ____will like my dad Selina has $50. She wants to buy some donuts which cost $2.80 each. How many donuts can she buy? Which of the following affect change in weather select all that applyTemperatureGravitational pull from the moonHumidityHeat from the SunWind speed and directionThe amount of earthquakes in an areaThe amount of animals in an areaMovement of high and low pressure air Consider the line y=5x -3 Find the equation of the line that is patellar to this line and passes through the point (-8, -3) Consider the line y=5x -3