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 the circumcenter

Answers

Answer: (0, -2)

Step-by-step explanation:

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

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

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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

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!

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:

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

Answers

Answer:

A

Step-by-step explanation:

number books = n

2xn / 15

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

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

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).

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.

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

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

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

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

please help i don't understand this

Answers

Answer:

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

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

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

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.

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$


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 :)

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

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 :(

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.

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)

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:

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what is proportional to 35/80​

Answers

Answer:

nhi pta... pdhai dhang se kiya kro

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

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

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
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