1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mixas84 [53]
3 years ago
14

Which expression is equivalent to -6(-2/3+2x)

Mathematics
1 answer:
dsp733 years ago
7 0

- 6( -  \frac{2}{3}  + 2x) \\  =  - 6( -  \frac{2}{3} ) +  - 6(2x) \\  = 4 - 12x \\  = 4(1 - 3x)
I cannot see the choices, but I hope this helps.
You might be interested in
Show that the line integral is independent of path by finding a function f such that ?f = f. c 2xe?ydx (2y ? x2e?ydy, c is any p
Juli2301 [7.4K]
I'm reading this as

\displaystyle\int_C2xe^{-y}\,\mathrm dx+(2y-x^2e^{-y})\,\mathrm dy

with \nabla f=(2xe^{-y},2y-x^2e^{-y}).

The value of the integral will be independent of the path if we can find a function f(x,y) that satisfies the gradient equation above.

You have

\begin{cases}\dfrac{\partial f}{\partial x}=2xe^{-y}\\\\\dfrac{\partial f}{\partial y}=2y-x^2e^{-y}\end{cases}

Integrate \dfrac{\partial f}{\partial x} with respect to x. You get

\displaystyle\int\dfrac{\partial f}{\partial x}\,\mathrm dx=\int2xe^{-y}\,\mathrm dx
f=x^2e^{-y}+g(y)

Differentiate with respect to y. You get

\dfrac{\partial f}{\partial y}=\dfrac{\partial}{\partial y}[x^2e^{-y}+g(y)]
2y-x^2e^{-y}=-x^2e^{-y}+g'(y)
2y=g'(y)

Integrate both sides with respect to y to arrive at

\displaystyle\int2y\,\mathrm dy=\int g'(y)\,\mathrm dy
y^2=g(y)+C
g(y)=y^2+C

So you have

f(x,y)=x^2e^{-y}+y^2+C

The gradient is continuous for all x,y, so the fundamental theorem of calculus applies, and so the value of the integral, regardless of the path taken, is

\displaystyle\int_C2xe^{-y}\,\mathrm dx+(2y-x^2e^{-y})\,\mathrm dy=f(4,1)-f(1,0)=\frac9e
8 0
3 years ago
If f(x)=2x-1 And g(x) =3x which statement is true
alisha [4.7K]
I cant see any statements
6 0
3 years ago
2. True False 6(10 + 5) - 6.10 + 6.5<br><img src="https://tex.z-dn.net/?f=10%20%2B%205%20-%206.10%20%2B%206.5%20%5Ctimes%206" id
Ostrovityanka [42]

Answer:

<h2>47.9</h2>

Step-by-step explanation:

10 + 5 - 6.10 + 6.5 \times 6 \\

Follow PEDMAS

10 + 5 - 6.10 + 39

15 - 6.10 + 39 \\ 15 + 39 - 6.10 \\ 54 - 6.10 \\  = 47.9

8 0
3 years ago
Read 2 more answers
Solve 3 + 4x &gt; -5 for x
Debora [2.8K]

you have the following inequality:

3 + 4x > -5

in order to solve for x, proceed as follow:

3 + 4x > -5 subtract 3 both sides

4x > - 5 - 3

4x > -8 divide by 4 both sides

x > -8/4

x > -2

Hence, the solution to the given inequality is x > -2

7 0
1 year ago
Which of the following is a true statement?
leva [86]

Answer:

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Does (3, –8) make the equation y = –x + –5 true?
    13·1 answer
  • Which of the following shows the equation below rewritten in the form ax^2+by+c=0 ? 2x^2+x+3=4(3x-5)
    7·1 answer
  • Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x overbarequals102
    11·1 answer
  • What is the volume of a cylinder if the radius is 8 and the height is 6
    14·2 answers
  • Find the slope of the line that passes through the pair of points.
    9·2 answers
  • Ratios that are equivalent to 40:28
    15·1 answer
  • Factor this polynomial completely.
    13·2 answers
  • Solve the inequality.
    14·1 answer
  • A)√3.√27<br> B)5√⅕-√45+√80<br> C)√(√3-2)²-4√5<br> D)³√27+³√-64-2³√125
    9·2 answers
  • CAN SOMEONE PLEASE HELP!!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!