is −4[3(x−7)] and 6(14−2x) equiviant

Answers

Answer 1

Answer:

Yes.

Step-by-step explanation:

Set the equations equal to each other to determine their equality.

-4[3(x - 7)] = 6(14 - 2x)

Distribute the 3 and the 6 into their respective parenthesis.

-4[3x - 21] = 84 - 12x

Distribute the -4 into the brackets.

-12x + 84

Rearrange the equations.

84 - 12x = 84 - 12x

Since the equations come out to be the same thing on both sides so that any value satisfies it, the equations are equivalent.


Related Questions

Solve and graph the solution.
|4x-13| = 5x+4

Answers

Answer: x = -17

Step-by-step explanation:

4x-13=5x+4

(4x-13)+(13-5x)=(5x+4)+(13-5x)

4x-13+13-5x=5x+4+13-5x

4x-5x-13+13=5x-5x+4+13

-x=17

x=-17

Answer:

x = -1

Step-by-step explanation:

/4x-13/ = 5x + 4

4x +5x = -13 +4

9 x = -9

9x = -9

x = -1

find the solutions of the quadratic equation.-x^2+7x-14=0

Answers

Answer:

Step-by-step explanation:

x =(-7+√-7)/-2=(7-i√ 7 )/2= 3.5000+1.3229i

 or:

x =(-7-√-7)/-2=(7+i√ 7 )/2= 3.5000-1.3229i

There are 20 marbles in a bag. 16 are red. The remaining are white. What is the probability of selecting a red marble

Answers

Answer:

You would have a 80% chance.

Step-by-step explanation:

16 out of 20 is equal to 80%. ( I can't really explain how I got 80% -_-. ) Let me know if I'm wrong.

Evaluate. 2 > 8 - 4/3h

Answers

Answer: h>9/2

Step-by-step explanation:

Consider the following graph of a quadratic function.

Part A: How can you quickly determine the intervals with the greatest rate of change by making observations from the graph?

Part B: Which intervals have the greatest rate of change?

Part C: Which intervals have the least rate of change?

Part D: Name two intervals that have equal rates of change.​

Answers

A graph can increase or decrease at an interval or several intervals

The interval with the longest curve or line represents the greatest change.The intervals with the greatest rate of change are ab and deThe intervals with the least rate of change are bc and cdThe intervals with the equal rates of change are ab and de

Part A: How to determine the longest interval

The longest interval will have a great change in the y-values, and a small change in the x-values.

An instance of such interval is interval ab

Part B: Intervals with the greatest rate

Intervals ab and de have equal rates, and they cover the same vertical and horizontal distances, as described in (a) above.

Hence, intervals ab and de have the greatest rate of change

Part C: Intervals with the least rate

Intervals bc and cd have equal rates, and they cover the same vertical and horizontal distances,

Hence, intervals ab and de have the least rate of change

Part D: Intervals with the equal rate

As said in (b) and (c),

Intervals ab and de have equal ratesIntervals bc and cd have equal rates

Read more about intervals and rates at:

https://brainly.com/question/23483858

May I please receive help?

Please

Answers

Answer:

put it in desmos.................

Wrong it’s nether nether nether because those are nether so yeah

LOOK AT PICURE!! WHOEVER IS CORRECT I WILL MARK BRAINIEST!!

Answers

Answer:

This angle is not a right angle from what it looks like, but this angle if you turn it sideways, angle JKN should be a little more than 90 which classifies it as an obtuse angle.

If 34+5=36, 56+2=39, 27+6=45, 47+5=48, 28+1=33, then what is 41+5?​

Answers

Answer: 56

Step-by-step explanation:

Given − 13 x − 23 ≥ 7x + 3,, which property is used below? 3 (−13 x − 23) ≥ 3(7x + 3)

Answers

The property used is Division property of equality to get the resulting equation since we divided both sides by 3

Given the inequality expression

3 (−13 x − 23) ≥ 3(7x + 3)

We are to know which of the property is used to arrive at  − 13 x − 23 ≥ 7x + 3

We can see that both sides of the expression were divided by 3 as shown:

[tex]\frac{3(-13x-23)}{3} \geq \frac{3(7x+3)}{3}\\-13x-23 \geq 7x+3\\[/tex]

From the division, we will see that the property used is Division property of equality to get the resulting equation since we divided both sides by 3

Learn more here: https://brainly.com/question/15816805

Farid's friend can't eat wheat, so Farid is baking him a loaf of gluten-free raisin bread. He mixes the dough and leaves it in a bowl to rise. Then, Farid forms the dough into a loaf and puts it in a pan to rise for another 1 /2 of an hour. In all, the dough rises for 1 3 /4 hours.

Answers

If you want to know how long he let it rose for at the beginning it is 1 hour and a 1/4

State the domain and range of the following function.

Answers

Answer:

Answer C

Step-by-step explanation:

seeing as how the x coordinates of the points are 2,3,4,6,7, we know that the answer must have these numbers, and only these numbers, as the domain. The only answer that has that is answer C.

I need helppp plzz
i'll brainliest

Answers

Answer:

Step-by-step explanation:

Since B is the midpoint, AB must be equal to BC.

AB = BC

7x - 4 = 3x + 32

Isolate the variable

7x - 4 = 3x + 32

4x = 36

x = 9

Now solve for one side.

AB = 7x - 4

AB = 7(9) - 4

AB = 59

Since both sides are equal, finding AC just means multiplying one side by 2.

AC = AB * 2

AC = (59) * 2

AC = 118

You can double check by finding the other side and multiplying by 2.

BC = 3x + 32

BC = 3(9) + 32

BC = 27 + 32

BC = 59

AC = BC*2

AC = 59*2

AC = 118

Let me know if you have any questions!

please help I will make you Brainliest if correct (show working)​

Answers

1.) X= 4m - 1.2m = 2.8m

Split the irregular shape into 2 (A and B)

A= 4m x 3.8m = 15.2m^2

B= 3m x 2.8m = 8.4m^2

2.) Total area = A + B
= 15.2 + 8.4 = 23.6m^2

5x + y over A equals 2, solve for x

Answers

Answer:

2+y over 5

Step-by-step explanation:

5x + y =2

5x=2+y

x=2+y over t

A lead cylinder has a mass of 618.7 grams and a density of 2.70 g/mL. Calculate the volume, in mL, and round your answer to the correct number of sig figs.

Answers

Answer:

1670.49 mL

Step-by-step explanation:

Volume = mass * density

Substitute values and calculate:

V = 618.7 * 2.7 = 1670.49 mL

4.51 - 2.7 MARKING BRAINLIEST AND PLEASE EXPLAIN:)

Answers

Answer:

1.81

Step-by-step explanation:

becase 4.51 -2.7 equls 1.81 its kinda simple

Answer:

Answer is 1.81

Step-by-step explanation:

The way you get this is by subtracting normally.⤵⤵⤵

[tex] \: \: \: \: 4.51 \\ \frac{ - 2.70}{} [/tex]

1 - 0 = 1

Since you can't subtract 7 from 5 you have to carry over from the next number (4). Take from 4, that leaves 3 in its place, and now you got an extra 1, so you can subtract 7 from 15 to get 8. Now subtract 2 from that 3 to get 1. That's how you get the answer 1.81 .

It's basically a normal subtraction problem, you just have to Remember to put the decimal point in the right place.

Hope this helped :)

write the exponential equation given a starting value of 7.5 and a decay rate of 7.5%

Answers

Answer:

A used car has a value of $15,250 when it is purchased in 2012. The value of the car decreases at a rate of 7.5% per year.

Write an exponential function that models the value of the car, y, over x years.

To the nearest cent, what will be the value of the car after eight years?

Step-by-step explanation:

Write the equation of the parabola in vertex form.
vertex (3,1), point (2, - 4).
f(x)=
)
w

Answers

f(x) = 5(x - 3) + 1

Find slope by using the vertex point and the other point given. You get 5. Then the vertex point is just the opposite x and the number after the parentheses.

Susan is an interior floor designer. When designing a new floor, she uses a coordinate grid to

represent the room. The client wants a rectangular tile insert in the floor of the room. The

coordinates for 3 of the corners of the insert are A (-7,-4), B (1,6), and C (6,2).

YA

Answers

A rectangle has 4 coordinates.

The coordinate of the last vertex is (-2,-8)

The points are given as:

[tex]\mathbf{A = (-7,-4)}[/tex]

[tex]\mathbf{B = (1,6)}[/tex]

[tex]\mathbf{C = (6,2)}[/tex]

Calculate distance AB

[tex]\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]

So, we have:

[tex]\mathbf{AB = \sqrt{(-7 - 1)^2 + (-4 - 6)^2}}[/tex]

Calculate distance CD

[tex]\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]

So, we have:

[tex]\mathbf{CD = \sqrt{(x - 6)^2 + (y - 2 )^2}}[/tex]

Equate AB and CD

[tex]\mathbf{ \sqrt{(x - 6)^2 + (y - 2)^2} = \sqrt{(-7 - 1)^2 + (-4 - 6)^2}}\\[/tex]

Cancel out the squares

[tex]\mathbf{ (x - 6)^2 + (y - 2)^2 = (-7 - 1)^2 + (-4 - 6)^2}[/tex]

By comparison

[tex]\mathbf{x -6 = -7-1}[/tex]

[tex]\mathbf{y-2 = -4-6}[/tex]

So, we have:

[tex]\mathbf{ x = 6-7-1 }[/tex]

[tex]\mathbf{ x = -2}[/tex]

[tex]\mathbf{y = 2-4-6 }[/tex]

[tex]\mathbf{y = -8}[/tex]

Hence, the coordinate of the last vertex is (-2,-8)

Read more about coordinates at:

https://brainly.com/question/2254540

solve using long division (4x^4-15x^3+7x^2-1) divided by (x^3-x+2)

Answers

Answer:

x = 7/2 = 3.500

x = 4

 x=  0.0000 - 1.4142 i  

 x=  0.0000 + 1.4142 i

Step-by-step explanation:

sorry if its wrong

It says find the product, then list the units. Please explain how to do this! Best explanation gets brainliest

Answers

Answer:

$72

Step-by-step explanation:

it is like how much someone earns for 8 hours of work at the rate of $9 per hour.

The rate of the answer is dollars since it's the money earned

9sin(2x) sin (x) = 9cos(x)

Answers

Answer:

[tex] \sin(2x) = 2 \sin(x) \cos(x) \\ 9( 2 \sin(x) \cos(x) ) \sin(x) = 9 \cos(x) \\ 18 { \sin}^{2} (x)9 \cos(x) - 9 \cos(x) = 0 \\ 9 \cos(x) (2{ \sin}^{2} (x) - 1) = 0 \\ 9 \cos(x) = 0 \: or \: 2{ \sin}^{2} (x) - 1 = 0 \\ \sin(x) = \pm \frac{1}{ \sqrt{2} } \\ \cos(x) = 0 \\ x = { \cos}^{ - 1} (0) \\ x = \frac{ \pi}{2} = 90 \degree \\ x = \frac{ \pi}{2} + 2\pi \: n \: \forall \: n \: \in \: \Z \\ = 90 \degree + 360\degree\: n \: \forall \: n \: \in \: \Z \\ = \pm\frac{ \pi}{4} \pm2\pi \: n \: \forall \: n \: \in \: \Z \\ x = \pm45\degree \pm 360\degree\: n \: \forall \: n \: \in \: \Z[/tex]

There were 110 students at a creative writing workshop last year. This year there are 132 students. What is the percent of increase in the number of students at the workshop?

Answers

Answer:

20% increase

Step-by-step explanation:

the initial number is 110 so lets take that as a 100%

the final number is 132 and it will be x

110/132=100/x

we multiply the numerator of the first fraction with the denominator of the second fraction and vice versa.

110*x=132*100

110x=13200

x=120

Then we deduct 120 by 100 to know how much the percent increase is

(120-100)%=20% :)

in the quadratic equation, what is the value, a, in order to form a perfect square x^2-8x+a=0;

Answers

Answer:

16

Step-by-step explanation:

x² - 8x + 16 will become ( x - 4 ) ( x - 4 ) or ( x - 4 )²

not sure how to do this, could use some help. : )

Answers

Answer:

The GCF equal;

[tex] {x}^{3} y {z}^{2} [/tex]

I hope I helped you^_^

Find x

Please show your work

Answers

Answer:

I think it would be

A= 3/5

B= 7/6

Write 5.2 . 10-2 in standard form.​

Answers

Answer:  5.2×103. = 5.2×1000. = 5200

Step-by-step explanation:

What is the answer to 11(3x + 5y)

Answers

Answer:

33x + 55y

Step-by-step explanation:

1. To simplify this expression, we have to apply the distributive property. To utilize this property means to distribute (or multiply) the quantity outside the parentheses by the quantities inside the parentheses.

[tex]11(3x+5y)[/tex] [tex](11)(3x)+(11)(5y)[/tex] [tex]33x + 55y[/tex]

Therefore, the answer is 33x + 55y.

Distribute 11 to 3x and 5y
33x+55y

What could be the possible one's digit of the square root of 3721 ?
3 , 4
1 , 9
6 , 7
7 , 8

Answers

Answer:

6,1 because 61's square root is 3721

Noah started to solve the equation –4.6p – 6.3p + 3.9 = –9.18 below.

Combine like terms: –10.9p + 3.9 = –9.18
Apply the next steps to solve the equation. What is the solution?

p =

Answers

Answer:

I think its um 1.2 im sorry if im wrong

Step-by-step explanation:

Answer:

−10.9

Step-by-step explanation:

−4.6p−6.3p+3.9

Combine −4.6p and −6.3p to get −10.9p.

dp/d (−10.9p+3.9)

−10.9p ^1−1

so it is −10.9

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