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
Troyanec [42]
3 years ago
10

Simplify 2x^2+6x-7x+8-3x^2+1

Mathematics
2 answers:
RSB [31]3 years ago
5 0
2x^2+6x-7x+8-3x^2+1 

2x^2+ x +8-3x^2+1 

2x^2+ x -3x^2+ 9

-x^2 - x + 9 \ \textless \ ------- Simplified 


_____________

Hey there! All we did was combine like terms to get our answer. 

For instance, in the equation 2x^2+6x-7x+8-3x^2+1, 

6x and 7x are indeed like terms becuase they have the same 

value of the variable 'x.' Then, I proceeded in subtracting the two

values as the equation exemplified. 

Doss [256]3 years ago
3 0
(((((2*(x^2))+6x)-7x)+8)-3x^2)+1 \\ \\ ((((2x^2 +  6x) -  7x) +  8) -  3x^2) +  1 \\ \\ we \ would \ then \ (pull \ out) \ like \ terms. \\ \\   -x^2 - x + 9  =   -1 * (x^2 + x - 9) \\ \\   \left[\begin{array}{ccc}   -9    +    1    =    -8 \\
      -3    +    3    =    0 \\
      -1    +    9    =    8 \\
\end{array}\right]  \\ \\ Your \ answer: \boxed{\boxed{\bf{  -x^2 - x + 9
}}}

I hope this helps you!
You might be interested in
What divides a two dimensional shape into two congruent shapes​
zaharov [31]

Answer:

Rectangle is a 2dimensional shape so, let me explain using it

The diagonal of a rectangle divides the rectangle into two triangles that are congruent and they are the same size and shape.

Another example is parallelogram

The diagonal of a parallelogram also divides the figure into two triangles that are congruent.

Step-by-step explanation:

6 0
3 years ago
A piece of wire of length 6363 is​ cut, and the resulting two pieces are formed to make a circle and a square. Where should the
Lerok [7]

Answer:

a.

35.2792 cm from one end (The square)

And 27.7208 cm from the other end (The circle)

b. See (b) explanation below

Step-by-step explanation:

Given

Length of Wire ,= 63cm

Let L be the length of one side of the square

Circumference of a circle = 2πr

Perimeter of a square = 4L

a. To minimise

4L + 2πr = 63 ----- make r the subject of formula

2πr = 63 - 4L

r = (63 - 4L)/2π

r = (31.5 - 2L)/π

Let X = Area of the Square. + Area of the circle

X = L² + πr²

Substitute (31.5 - 2L)/π for r

So,

X² = L² + π((31.5 - 2L)/π)²

X² = L² + π(31.5 - 2L)²/π²

X² = L² + (31.5 - 2L)²/π

X² = L² + (992.25 - 126L + 4L²)/π

X² = L² + 992.25/π - 126L/π +4L²/π ------ Collect Like Terms

X² = 992.25/π - 126L/π + 4L²/π + L²

X² = 992.25/π - 126L/π (4/π + 1)L² ---- Arrange in descending order of power

X² = (4/π + 1)L² - 126L/π + 992.25/π

The coefficient of L² is positive so this represents a parabola that opens upward, so its vertex will be at a minimum

To find the x-cordinate of the vertex, we use the vertex formula

i.e

L = -b/2a

L = - (-126/π) / (2 * (4/π + 1)

L = (126/π) / ( 2 * (4 + π)/π)

L = (126/π) /( (8 + 2π)/π)

L = 126/π * π/(8 + 2π)

L = (126)/(8 + 2π)

L = 63/(4 + π)

So, for the minimum area, the side of a square will be 63/(4 + π)

= 8.8198 cm ---- Approximated

We will need to cut the wire at 4 times the side of the square. (i.e. the four sides of the square)

I.e.

4 * (63/(4 + π)) cm

Or

35.2792 cm from one end.

Subtract this result from 63, we'll get the other end.

i.e. 63 - 35.2792

= 27.7208 cm from the other end

b. To maximize

Now for the maximum area.

The problem is only defined for 0 ≤ L ≤ 63/4 which gives

0 ≤ L ≤ 15.75

When L=0, the square shrinks to 0 and the whole 63 cm wire is made into a circle.

Similarly, when L =15.75 cm, the whole 63 cm wire is made into a square, the circle shrinks to 0.

Since the parabola opens upward, the maximum value is at one endpoint of the interval, either when

L=0 or when L = 15.75.

It is well known that if a piece of wire is bent into a circle or a square, the circle will have more area, so we will assume that the maximum area would be when we "cut" the wire 0, or no, centimeters from the

end, and bend the whole wire into a circle. That is we don't cut the wire at

all.

7 0
3 years ago
?????????????????????
Natalija [7]

I have no clue at all

5 0
3 years ago
Divide 2/8 by 9/18 . Input your answer as a reduced fraction.\
Katen [24]

\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{2}{8}\div\frac{9}{18}   }} \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf Simplify \ \frac{2}{8} \ to \ \frac{1}{4}. \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{1}{4}\div\frac{18}{9}   }} \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf Use \ this \ rule: a\div \frac{b}{c}=a\times \frac{c}{b}a \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{1}{4}\times\frac{18}{9}   }} \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf Use \ this \ rule: \frac{a}{b} \times \frac{c}d{}=\frac{ac}{bd}. \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{1\times18}{4\times9} \ \to \ \ Multiply  }} \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{ \frac{18}{36}= }}\boxed{\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{1}{2}  }} \end{gathered}$}} \end{gathered}$}

8 0
2 years ago
Read 2 more answers
Is for over two and 20/6 proportions
ad-work [718]
No they're not proportional, and it's four*.
4/2 = 2
20/6 = 3.333333333334 or 3 1/3
4 0
3 years ago
Read 2 more answers
Other questions:
  • An answer please... Again
    11·2 answers
  • I’m not sure how to use integration to solve this question (4)
    6·1 answer
  • Michael has $2.25 worth of dimes and quarters. He has twice as many dimes as
    7·1 answer
  • your football team has a total of 50 jerseys. There are 15 medium-sized jerseys. What percent of the jerseys are medium-sized je
    8·2 answers
  • Will give brainliest!!!!!!!!!!!!!!!
    10·1 answer
  • Jonah Arkfeld, a building contractor, is preparing a bid on a new construction project. Two other contractors will be submitting
    5·1 answer
  • WILL GIVE BRAINLIEST AND 5 STARS PLEASE HURRY! y= ____ x= ____
    6·1 answer
  • What is the answer of this<br><br> pls say, I will mark as brilliant
    9·2 answers
  • HELP PLEASE ME <br> I WILL GIVE BRAINLIEST
    12·1 answer
  • Does someone mind helping me with this question? Thank you!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!