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
irga5000 [103]
3 years ago
15

What expression is equivalent to -3+2/3y-4-1/3y

Mathematics
1 answer:
Neko [114]3 years ago
6 0

Answer:

The simplified form of the given expression is -7 + (\frac{1}{3})y

Step-by-step explanation:

Here, the given expression is:

-3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y

Now to simplify the given expression, perform operations on LIKE TERMS:

We get:

-3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y  =( -3  - 4)  + [(\frac{2}{3}) y- (\frac{1}{3})y]\\= - 7  + [(\frac{2}{3}) -(\frac{1}{3})]y  = -7 + [\frac{2-1}{3}]y\\ = -7 + (\frac{1}{3})y\\ \implies -3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y =   -7 + (\frac{1}{3})y

Hence the simplified form of the given expression is -7 + (\frac{1}{3})y

You might be interested in
How many yards are in 144 inches​
Grace [21]

144 divided by 36 is 4, so 4 yards.

7 0
3 years ago
Read 2 more answers
What is the definition of ratio table
Wittaler [7]
A table with columns filled with pairs of numbers that have the same ratio.
4 0
3 years ago
Carrie borrows $2600 at an interest rate of 2.5%.  The interest paid is $536.25.  For how long did she borrow the money?
STALIN [3.7K]
T=i/pr
t=536.25/(2600*0.025)
t=8.25 years
7 0
3 years ago
Read 2 more answers
Evaluate the line integral by the two following methods. xy dx + x2 dy C is counterclockwise around the rectangle with vertices
Airida [17]

Answer:

25/2

Step-by-step explanation:

Recall that for a parametrized differentiable curve C = (x(t), y(t)) with the parameter t varying on some interval [a, b]

\large \displaystyle\int_{C}[P(x,y)dx+Q(x,y)dy]=\displaystyle\int_{a}^{b}[P(x(t),y(t))x'(t)+Q(x(t),y(t))y'(t)]dt

Where P, Q are scalar functions

We want to compute

\large \displaystyle\int_{C}P(x,y)dx+Q(x,y)dy=\displaystyle\int_{C}xydx+x^2dy

Where C is the rectangle with vertices (0, 0), (5, 0), (5, 1), (0, 1) going counterclockwise.

a) Directly

Let us break down C into 4 paths \large C_1,C_2,C_3,C_4 which represents the sides of the rectangle.

\large C_1 is the line segment from (0,0) to (5,0)

\large C_2 is the line segment from (5,0) to (5,1)

\large C_3 is the line segment from (5,1) to (0,1)

\large C_4 is the line segment from (0,1) to (0,0)

Then

\large \displaystyle\int_{C}=\displaystyle\int_{C_1}+\displaystyle\int_{C_2}+\displaystyle\int_{C_3}+\displaystyle\int_{C_4}

Given 2 points P, Q we can always parametrize the line segment from P to Q with

r(t) = tQ + (1-t)P for 0≤ t≤ 1

Let us compute the first integral. We parametrize \large C_1 as

r(t) = t(5,0)+(1-t)(0,0) = (5t, 0) for 0≤ t≤ 1 and

r'(t) = (5,0) so

\large \displaystyle\int_{C_1}xydx+x^2dy=0

 Now the second integral. We parametrize \large C_2 as

r(t) = t(5,1)+(1-t)(5,0) = (5 , t) for 0≤ t≤ 1 and

r'(t) = (0,1) so

\large \displaystyle\int_{C_2}xydx+x^2dy=\displaystyle\int_{0}^{1}25dt=25

The third integral. We parametrize \large C_3 as

r(t) = t(0,1)+(1-t)(5,1) = (5-5t, 1) for 0≤ t≤ 1 and

r'(t) = (-5,0) so

\large \displaystyle\int_{C_3}xydx+x^2dy=\displaystyle\int_{0}^{1}(5-5t)(-5)dt=-25\displaystyle\int_{0}^{1}dt+25\displaystyle\int_{0}^{1}tdt=\\\\=-25+25/2=-25/2

The fourth integral. We parametrize \large C_4 as

r(t) = t(0,0)+(1-t)(0,1) = (0, 1-t) for 0≤ t≤ 1 and

r'(t) = (0,-1) so

\large \displaystyle\int_{C_4}xydx+x^2dy=0

So

\large \displaystyle\int_{C}xydx+x^2dy=25-25/2=25/2

Now, let us compute the value using Green's theorem.

According with this theorem

\large \displaystyle\int_{C}Pdx+Qdy=\displaystyle\iint_{A}(\displaystyle\frac{\partial Q}{\partial x}-\displaystyle\frac{\partial P}{\partial y})dydx

where A is the interior of the rectangle.

so A={(x,y) |  0≤ x≤ 5,  0≤ y≤ 1}

We have

\large \displaystyle\frac{\partial Q}{\partial x}=2x\\\\\displaystyle\frac{\partial P}{\partial y}=x

so

\large \displaystyle\iint_{A}(\displaystyle\frac{\partial Q}{\partial x}-\displaystyle\frac{\partial P}{\partial y})dydx=\displaystyle\int_{0}^{5}\displaystyle\int_{0}^{1}xdydx=\displaystyle\int_{0}^{5}xdx\displaystyle\int_{0}^{1}dy=25/2

3 0
3 years ago
From which point of view is the story told?
yawa3891 [41]

Answer:

there are 5 types of point of views

please brainliest me

Step-by-step explanation:

1rst person: Writing in first person means writing from the author's point of view or perspective. This point of view is used for autobiographical writing as well as narrative.

2 person: The second-person point of view belongs to the person (or people) being addressed. This is the “you” perspective. Once again, the biggest indicator of the second person is the use of second-person pronouns: you, your, yours, yourself, yourselves.

3 person:  In the third-person point of view, a narrator tells the reader the story, referring to the characters by name or by the third-person pronouns he, she, or they.

4 person: The term fourth person is also sometimes used for the category of indefinite or generic referents, which work like one in English phrases such as "one should be prepared" or people in people say that..., when the grammar treats them differently from ordinary third-person forms."

5 person:From a fifth person perspective, one starts to “feel” the system in a different way, recognizing that one's own perspective on and in the Anthropocene is merely a perspective, which itself is a perspective, which in turn is a perspective.

7 0
3 years ago
Other questions:
  • The diameter of a small gear is 16 cm. This is 2.5 cm more than 1/4 of the diameter of a larger gear. What is the diameterof the
    13·2 answers
  • Help me with this question plz! The equation t=0.07c represents the tax t, based on the cost c, of an item. Which part of the eq
    9·1 answer
  • Determine and state the measure of angle F
    10·2 answers
  • 6x - 5y = 15, x=y+3 what does x and y equal
    10·1 answer
  • Prove that the segments joining the midpoint of consecutive sides of an isosceles trapezoid form a rhombus.
    6·1 answer
  • Solve the quadratic equation (2x+5)(2x-5)
    11·1 answer
  • ASAP Help me please!!
    11·1 answer
  • HELP HELP HELP PLEASE
    5·1 answer
  • 22222222222222+2222222222222222222
    5·2 answers
  • Find the least common denominator of 11/10 and 1/15
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!