What is the value of x in the equation LaTeX: \frac{3}{2}\left(4x-2\right)-3x=5-\left(x+2\right) 3 2 ( 4 x − 2 ) − 3 x = 5 − ( x + 2 ) ?

Answers

Answer 1

Answer:

3/2

Step-by-step explanation:

Given the equation 3/2(4x-2)-3x = 5-(x+2)

Open the parenthesis

3/2(4x) - 3/2(2) -3x = 5-x-2

6x-3-3x = 3-x

3x-3 = 3-x

Collect like terms

3x+x = 3+3

4x = 6

Divide both sides by

4x/4 = 6/4

x = 3/2

Hence the value of x is 3/2


Related Questions


Leo bought jet ski's a couple of years ago. He now wants to sell them. This is an example of Income.
O A. capital gains
OB. earned
OC. hourly
OD. passive

Answers

Answer:

D. passive

Step-by-step explanation:

What is the E shape symbol in mathematics

Answers

Answer:

∈ (mathematics) means that it is an element in the set of… For eg... x ∈ ℕ denotes that x is within the set of natural numbers. The relation "is an element of", also called set membership, is denoted by the symbol "∈".

Step-by-step explanation:

Answer:

∈ (mathematics) means that it is an element in the set of… For eg... x ∈ ℕ denotes that x is within the set of natural numbers. The relation "is an element of", also called set membership, is denoted by the symbol "∈".

(-5,7) and (2,5)
find the slope of the line passing through the given points

Answers

Answer: -2/7

Step-by-step explanation:

To find the slope, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{5-7}{2-(-5)} =\frac{-2}{7}=-\frac{2}{7}[/tex]

Now, we know the slope is -2/7.

Can you help me find the constant rate of change? I’m a little confused on how to work it out.

Answers

The constant rate of change is 6$ for every one person

Compute the matrix of partial derivatives of the following functions.
(a) f(x, y) = (ex, sin(xy)) Drx, y) =
(b) f(x, y, z) = (x-y, y + z) Df(x, y, z) =
(c) f(x, y)-(xy, x - y, xy) Df(x, y) =
(d) rx, y, z) = (x + z, y-42, x-y) Df(x, y, z) =

Answers

For a vector-valued function

[tex]\mathbf f(\mathbf x)=\mathbf f(x_1,x_2,\ldots,x_n)=(f_1(x_1,x_2,\ldots,x_n),\ldots,f_m(x_1,x_2,\ldots,x_n))[/tex]

the matrix of partial derivatives (a.k.a. the Jacobian) is the [tex]m\times n[/tex] matrix in which the [tex](i,j)[/tex]-th entry is the derivative of [tex]f_i[/tex] with respect to [tex]x_j[/tex]:

[tex]D\mathbf f(\mathbf x)=\begin{bmatrix}\dfrac{\partial f_1}{\partial x_1}&\dfrac{\partial f_1}{\partial x_2}&\cdots&\dfrac{\partial f_1}{\partial x_n}\\\dfrac{\partial f_2}{\partial x_1}&\dfrac{\partial f_2}{\partial x_2}&\cdots&\dfrac{\partial f_2}{\partial x_n}\\\vdots&\vdots&\ddots&\vdots\\\dfrac{\partial f_m}{\partial x_1}&\dfrac{\partial f_m}{\partial x_2}&\cdots&\dfrac{\partial f_n}{\partial x_n}\end{bmatrix}[/tex]

So we have

(a)

[tex]D f(x,y)=\begin{bmatrix}\dfrac{\partial(e^x)}{\partial x}&\dfrac{\partial(e^x)}{\partial y}\\\dfrac{\partial(\sin(xy))}{\partial x}&\dfrac{\partial(\sin(xy))}{\partial y}\end{bmatrix}=\begin{bmatrix}e^x&0\\y\cos(xy)&x\cos(xy)\end{bmatrix}[/tex]

(b)

[tex]D f(x,y,z)=\begin{bmatrix}\dfrac{\partial(x-y)}{\partial x}&\dfrac{\partial(x-y)}{\partial y}&\dfrac{\partial(x-y)}{\partial z}\\\dfrac{\partial(y+z)}{\partial x}&\dfrac{\partial(y+z)}{\partial y}&\dfrac{\partial(y+z)}{\partial z}\end{bmatrix}=\begin{bmatrix}1&-1&0\\0&1&1\end{bmatrix}[/tex]

(c)

[tex]Df(x,y)=\begin{bmatrix}y&x\\1&-1\\y&x\end{bmatrix}[/tex]

(d)

[tex]Df(x,y,z)=\begin{bmatrix}1&0&1\\0&1&0\\1&-1&0\end{bmatrix}[/tex]

The parallelogram shown below has an area of 30units^2

Answers

30*2

60

again 2(a+b)

2(30+2)

2*32

64

the distance covered by a car depends on how fast the car was going and on how long it has travelled?​

Answers

Answer:

Yes it does

Step-by-step explanation:

Distance is equal to rate multiplied by time and the rate is how fast the car is going and how long is the time so yes it will be equal to distance.

The statement given in the question is TRUE that is "the distance covered by a car depends on how fast the car was going and on how long it has travelled"

The formula for calculating distance is expressed as;

[tex]distance=speed \times time[/tex]

From the formula we can see that:

distance depends on the speed i.e how fast an object is movingdistance also depends on the time taken by the car to travel.

From the highlighted point, we can see that the statement given in the question is TRUE that is "the distance covered by a car depends on how fast the car was going and on how long it has travelled"

Learn more here: https://brainly.com/question/23774048

I dont know how to do any of these problems can someone help me

Answers

Answer:

#7.  JK = 1

Step-by-step explanation:

So all these problems are similar in the fact that you are given three pieces of information and you need to determine x.  Let's look at #7.

We are to find the length JK but we are given it in terms of x.  To find the length, we need to find x.  Using the information we have about KL and JL, we can find this.  Note, the value of JL is 5, and the value of KL is x + 8.

JK + KL = JL

( 2x + 9 ) + ( x + 8 ) = 5

3x + 17 = 5

3x = -12

x = -4

Now that we have the value of x,  we can find the value of JK:

JK = 2x + 9

JK = 2(-4) + 9

JK = -8 + 9

JK = 1

Hence, the length of JK is 1.

Using this same basic idea, you can solve all of these problems.

Cheers.

find the missing value 1/2 equals 28 over X ​

Answers

Answer:

x = 56

Step-by-step explanation:

cross multiply. 28 times 2 and 1 times x. set them equal to each other and solve for x to get 56.

what is the answer for 7.42 ÷ 1.75 = ______

Answers

Answer:

4.24

Step-by-step explanation:

Answer: 4.24

Step-by-step explanation:

just do 7.42/ 1.75 and ur answer is 4.24

Distributive 7x^2(-x*2-5x)

Answers

Answer:

[tex]-49x^3[/tex]

Step-by-step explanation:

[tex]7x^2(-2x-5x)\\7x^2(-7x)\\7*-7(x^2x)\\7*-7x^3\\= -49x^3[/tex]

2(x-3)+3=6x-5 help ​

Answers

X=1/2 i hope this
Explanation

Round each decimal to the place indicated. 9. 275.635 to the nearest tenth 10. 72.789 to the nearest hundredth

Answers

Answer:

9.3, 10.79

Step-by-step explanation:

Can someone help me out with this question?

Answers

The first box and the third box is the right answer

Two brothers, Mark and Walter, each inherit $20000. Mark invests his inheritance in a savings account with an annual return of 2.5%, while Walter invests his inheritance in a CD paying 6.1% annually. How much more money than Mark does Walter have after 1 year?

Answers

Answer:

$720

Step-by-step explanation:

$20000 - 100%

$x. - 2.5%

x=(20000*2.5)/100=500

20000+500=$20500 in one year (Mark)

20000 - 100

x. - 6.1

x= (20000*6.1)/100 = 1220

20000+1220= $21220 (Walter)

21220-20500= $720 more (Walter will have after 1 year)

graph of the
equation f(x) = 1x-2

Answers

I used desmos which is an online graphing calculator and I got this

Which is A Prime Number? 7 33 27 63

Answers

Answer:

7 is the only prime number

Step-by-step explanation:

7 is a prime number because it has only two distinct divisors: 1 and itself (7). As a consequence, 7 is only a multiple of 1 and 7.

The prime number among the given numbers is 7.

What are Prime Numbers?

Prime numbers are positive integers greater than 1 that have no divisors other than 1 and themselves. In other words, a prime number is a number that cannot be evenly divided by any other number except 1 and itself.

We have the numbers as 7, 33, 27 and 63.

The prime numbers are numbers that are divisible only by 1 and themselves, with no other factors.

Among the given numbers, 7 is a prime number because it is only divisible by 1 and 7.

Since 33 is divisible by 1, 3, 11, and 33.

and, 27 is divisible by 1, 3, 9, and 27.

and, 63 is divisible by 1, 3, 7, 9, 21, and 63.

Therefore, the prime number among the given numbers is 7.

Learn more about Prime Number here:

https://brainly.com/question/4184435

#SPJ2

70 is 10 times as much as what

Answers

Answer:

Step-by-step explanation:

80

70 is 10 times as much as 7

Composition f(g(x)) and g(f(x)) function f and g are shown on the graph. Which statements describe the composition? Check all that apply

Answers

Answer:

Step-by-step explanation:

f(g(x) = g(f(x)) for at least one value of x.

The composition of f and g is commutative.

f(g(0)) = 5 and g(f(-2.5)) = 5.

The graphs show that function composition is not commutative.

Answer:

A, C, D, and E

 f(g(x)) = g(f(x)) for at least one value of x.

 f(g(0)) = 5 and g(f(–2.5)) = 5.

Both f(g(x)) and g(f(x)) have the same domain.

The graphs show that function composition is not commutative.

Step-by-step explanation:

Maggie's Bakery bakes the best apple pies. If you decide to make p pies, you need a apples.
Based on this information, what are the independent and dependent variables?
A)
Both pies and apples are independent variables.
B)
Both apples and pies are dependent variables.
C)
The independent variable is pies, and the dependent variable is apples.
D)
The independent variable is apples, and the dependent variable is pies.
Im

Answers

Answer:

Option (D)

Step-by-step explanation:

When we make a pie we will need apples.

That means number of pie baked will always depend on the number of apples available or number of apples used.

So the number of apples used will be independent variable.

Since number of pie will always depend on the number of apples used,

Number of pie baked will be a dependent variable.

Therefore, Option (D) will be the answer.

Answer:No the answer is C I just took the test

Step-by-step explanation:

Dr. Hernandon believes that time spent playing video games is negatively associated with reading fluency. He asks parents to record the average number of hours their children spend playing video games each day. He compares these hours with scores on the Woodcock-Johnson reading test. His correlation coefficient confirms that as hours playing video games increases, reading fluency decreases. Which correlation coefficient would fit his data?

Answers

Options :

A) - 0.89

B.) + 0.34

C.) + 0.89

D.) - 0.34

Answer: A) - 0.89

Step-by-step explanation:

Since Dr. Hernandon has been able to establish that a strong negative relationship exists between the number of hours spent playing video games and reading fluency, hence looking through the options provided, the most suitable will be - 0.89, this is because the negative sign implies a negative correlation or association between the two variables (that is decrease in one leads to a corresponding increase in the other and vice-versa) also, the strength of correlation exists in how close the value of the correlation Coefficient is to 1 or - 1. Values closer to 1 or - 1 are strongly correlated while those closer to zero exhibits a weak association. Correlation Coefficient value of 0 implies that there is no association between both variables.

Suppose you work as a clerk at a local retail store earning $6 per hour. The amount of your weekly paycheck (before taxes are taken out) could be written F(x) = 6x.

16. What is the independent variable in this function and what does it represent?

Answers

Answer:

x is the independent variable and it represents the number of hours worked per week by the clerk.

Step-by-step explanation:

An independent variable refers to a variable in model that is varied or changed in order to examine its effect on another variable. The other variable is called a dependent variable.

A dependent variable is a variable in a model that changes as a result of a change in the independent variable.

From the question, x is the independent variable and its represent the number of hours worked by the clerk.

F(x) represents the amount of your weekly paycheck and it is the dependent variable that changes as the number of hours worked, x, changes.

For example, since we are given:

F(x) = 6x ............................... (1)

Where;

F(x) = = depemdent variable = Amount of weekly paycheck (before taxes are taken out)

6 = coefficient of x = Earning per hour

x = Independent variable = Number of hours worked

Assuming x = 1, we can substitute this into equation (1) and have:

F(x) = 6 * 1 = $6

But when x = 2, we have:

F(x) = 6 * 2 = $12

Therefore, the dependent variable F(x) changes from $6 weekly to $12 weekly as the independent variable x changes form 1 hour to 2 hours weekly.

is 4 3/5 rational or irrational?

Answers

Answer:

It is rational

Answer:

4 and 3/5? It is irrational

Step-by-step explanation:

Its irrational because it is not a whole number, it includes a fraction, which is not a whole number.

Which of the following is irrational?

Answers

Answer:

√6

Step-by-step explanation:

The irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.

Pleasee help on this problem :(

Answers

Answer:

How can I help

Step-by-step explanation:

sir you need at least put something there because i can't really see it thank you no thank you

1) Which ratio of cups of fruit to cups of
almond milk is shown on the double
number line?
4/3 1/2

How much fruit does Faith use per cup
of almond milk?
cup(s) of fruit per cup of almond milk

Answers

Answer:

8/3 or 2 2/3, but I used 8/3

Step-by-step explanation:

got it right :)

Answer:

The answer is 2 2/3 but the fastest way to do it is 8/3.

A researcher is conducting an experiment to test a new vitamin supplement. The researcher has recruited 8

participants and must divide them into two groups of 4 people each. One group will receive the supplement, while

the other group will receive a placebo pill.

How many ways can the researcher create the two groups for the experiment?

O2

O 4096

O 32

O 140

Answers

Answer:

(C) 32

Step-by-step explanation:

This is a problem of Permutation and Combination, not probability.

This clarification is given because most questions like this are on Probability and Statistics.

The researcher has recruited 8  participants and must divide them into two groups of 4 people each.

So there's:

GROUP A - Placebo Group

GROUP B - Experimental Group

Since the experiment is on humans - distinct objects - they will have distinct identities. Assume the 8 participants are lined up according to identities 1,2,3,4,  5,6,7,8

[2+2+2+2  +2+2+2+2] × 2 = 16×2 = 32

Answer:

D.) 140

Step-by-step explanation:

what is 20x times x​

Answers

Answer:

20x^2

Step-by-step explanation:

[tex]20x \times x\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times \:a^c=a^{b+c}\\\\xx=\:x^{1+1}\\\\=20x^{1+1}\\\\\mathrm{Add\:the\:numbers:}\:1+1=2\\\\=20x^2[/tex]

find the are of the yellow region. round to the nearest 10th.​

Answers

Area of a square = side^2

In this problem,

Side = 5ft

Plug 5 into the formula above

Area = 5^2 = 25ft^2

But we have to subtract the area of the circle.

Area of a circle = πr^2

r = radius

The diameter is 5 ft and the radius of a circle is diameter / 2

The radius of this circle = 2.5

Let's plug that into our formula.

Area = π(2.5)^2 = 19.63.

Let's subtract the area of the circle from the square

25 - 19.63 = 5.37 = 5.4ft^2

Simplify the expression: –5(3k − 4)

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \bold{ \sf{ - 15k + 20}}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 5(3k - 4)}[/tex]

Distribute -5 through the parentheses

[tex] \longrightarrow{ \sf{ - 5 \times 3k - ( - 5) \times 4}}[/tex]

[tex] \longrightarrow{ \sf{ - 15k - ( - 20)}}[/tex]

[tex] \longrightarrow{ \sf{ - 15k + 20}}[/tex]

Hope I helped!

Best regards! :D

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