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
Mamont248 [21]
3 years ago
9

Find the following sum of the following expressions: 3x+5 and -4x-10

Mathematics
1 answer:
NeTakaya3 years ago
6 0

Answer:

x + 5

Step-by-step explanation:

3x + 5 -4x - 10

Combine like terms.

-x -5

Divide by -1

x + 5

I hope that this helps! :)

You might be interested in
Write 3x^2-18x-6 in vertex form
Vedmedyk [2.9K]
The standard form of a quadratic equation is \displaystyle{ y=ax^2+bx+c, while the vertex form is:

                      y=a(x-h)^2+k, where (h, k) is the vertex of the parabola.

What we want is to write \displaystyle{ y=3x^2-18x-6 as y=a(x-h)^2+k

First, we note that all the three terms have a factor of 3, so we factorize it and write:

\displaystyle{ y=3(x^2-6x-2).


Second, we notice that x^2-6x are the terms produced by (x-3)^2=x^2-6x+9, without the 9. So we can write:

x^2-6x=(x-3)^2-9, and substituting in \displaystyle{ y=3(x^2-6x-2) we have:

\displaystyle{ y=3(x^2-6x-2)=3[(x-3)^2-9-2]=3[(x-3)^2-11].

Finally, distributing 3 over the two terms in the brackets we have:

y=3[x-3]^2-33.


Answer: y=3(x-3)^2-33
6 0
3 years ago
For each part below, give an example of a linear system of
N76 [4]

Answer:

a)g: 3x + 4y = 10   b) a:x+y = 5           c) c: 3x + 4y = 10

h: 6x + 8y = 5         b:2x + 3y = 8         d: 6x + 8y = 5

Step-by-step explanation:

a) Has no solution

g: 3x + 4y = 10

h: 6x + 8y = 5

Above Equations  gives  you  parallel lines refer attachment

b) has exactly one solution

a:x+y = 5

b:2x + 3y = 8

Above Equations  gives  you  intersecting lines refer attachment

c) has infinitely many solutions

c: 3x + 4y = 10

d: 6x + 8y = 5

Above Equations  gives  you  collinear lines refer attachment

i) if we add   x + 2y = 1 to equation x + y = 5 to make an inconsistent system.

ii) if we add   x + 2y = 3 to equation x + y = 5 to create infinitely system.

iii) if we add  x + 4y = 1 to equation x + y = 5 to create infinitely system.

iv) if we add to x + y =5 equation x + y = 5  to change the unique solution you had  to a different unique solution

7 0
3 years ago
Find the solution of the initial value problem<br><br> dy/dx=(-2x+y)^2-7 ,y(0)=0
Leokris [45]

Substitute v(x)=-2x+y(x), so that \dfrac{\mathrm dv}{\mathrm dx}=-2+\dfrac{\mathrm dy}{\mathrm dx}. Then the ODE is equivalent to

\dfrac{\mathrm dv}{\mathrm dx}+2=v^2-7

which is separable as

\dfrac{\mathrm dv}{v^2-9}=\mathrm dx

Split the left side into partial fractions,

\dfrac1{v^2-9}=\dfrac16\left(\dfrac1{v-3}-\dfrac1{v+3}\right)

so that integrating both sides is trivial and we get

\dfrac{\ln|v-3|-\ln|v+3|}6=x+C

\ln\left|\dfrac{v-3}{v+3}\right|=6x+C

\dfrac{v-3}{v+3}=Ce^{6x}

\dfrac{v+3-6}{v+3}=1-\dfrac6{v+3}=Ce^{6x}

\dfrac6{v+3}=1-Ce^{6x}

v=\dfrac6{1-Ce^{6x}}-3

-2x+y=\dfrac6{1-Ce^{6x}}-3

y=2x+\dfrac6{1-Ce^{6x}}-3

Given the initial condition y(0)=0, we find

0=\dfrac6{1-C}-3\implies C=-1

so that the ODE has the particular solution,

\boxed{y=2x+\dfrac6{1+e^{6x}}-3}

5 0
3 years ago
Please help quick i will give brainlist!!!!!!
ipn [44]

Answer:

a) 75/3=25/1

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
14α - (2a + 9) = 3 (12a - 18)
Leona [35]

Answer:

a = 2 5/8

Step-by-step explanation:

14a - (2a + 9) = 3 (12a - 18)

14a - 2a + 9 = 36a - 54

12a + 9 = 36a - 54

12a - 36a = -54 - 9

-24a = -63

a = -63/-24

a = 21/8

a = 2 5/8

3 0
3 years ago
Other questions:
  • 15,839 rounded to the nearest tenth
    14·2 answers
  • Maximum or minimum f(x)=-5x2-10x+6
    6·2 answers
  • Which geometric terms is named by its endpoints
    9·2 answers
  • PLS HELP! THIS IS DUE IN 30 MINUTES!! I'LL GIVE BRAINLIEST AND 60 POINTS IN TOTAL IF U GET BRAINLIEST.
    12·1 answer
  • Mrs.tokalaka uses 9/10 of a can of coffe beans,each week.how many cans of beans does she use in 6 weeks? write your answer two d
    11·1 answer
  • Calculate the slope of the line through the points (6,-8) and (3,-4)
    8·1 answer
  • **!!PLEASE ANSWER!!**
    15·1 answer
  • What is the equation of the function shown in the graph?
    11·1 answer
  • Write three equivalent ratios for 8 triangles to 12 circles
    9·1 answer
  • Get the common denominator
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!