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Lilit [14]
2 years ago
5

Simplify the polynomial (4n² + 3n – 5) − (2n² + 3n - + 6)

Mathematics
1 answer:
Veseljchak [2.6K]2 years ago
7 0

Answer:

2n² + 1

Step-by-step explanation:

Given polynomial:

(4n² + 3n – 5) − (2n² + 3n - 6)

Solution:

Removing parentheses,we obtain

  • 4n {}^{2}  + 3n - 5 - 2n {}^{2}  - 3n + 6

Combine like terms:

  • 4n { }^{2}  - 2n {}^{2}  + 3n - 3n - 5 + 6
  • 2n { }^{2}  + 0 + 1
  • \boxed{2n {}^{2}  + 1}

Done!

Order:BPEMDAS

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Describe how to find all the points on a baseball field that are equidistant from second base and third base
BlackZzzverrR [31]
This might help explain how to do a very similar problem.... http://www.mathopenref.com/constbisectline.html
8 0
3 years ago
10. For the equation 3x – 4 = 8, which
irga5000 [103]

Answer:

x  = 4

Step-by-step explanation:

We can find the answer to this by solving the equation:

3x - 4 = 8

3x - 4 + 4 = 8 + 4

3x = 12

x  = 4

6 0
3 years ago
Read 2 more answers
Which of these intervals has an average rate of change that is less than 1/4
RideAnS [48]

Answer:

Interval [b,c] and interval [c,d]

Step-by-step explanation:

a(-5,0)

b(-1,2)

c(4,3)

d(11,4)

The average rate of change is the the total rise over the total run.

The Rise means the vertical increase and the Run means horizontal incease.

For interval [a,b]

rate of change is \dfrac{2-0}{-1-(-5)}=\dfrac{2}{4}=\dfrac{1}{2}

For [b,c]

\frac{3-2}{4-(-1)}=\frac{1}{5}

For [c,d]

\dfrac{4-3}{11-4}=\dfrac{1}{7}

8 0
2 years ago
Danika signs up to work for 3 1/2 hours at the science fair. If each work shift is 3/4 hour, how many shifts will Danika work?
forsale [732]

namely, how many times does 3/4 go into 3½?  Let's firstly convert the mixed fraction to improper fraction.

\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{2}\div \cfrac{3}{4}\implies \cfrac{7}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{\stackrel{2}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{3}\implies \cfrac{14}{3}\implies 4\frac{2}{3}

5 0
3 years ago
Read 2 more answers
Lu is making a quilt that is 20 squares wide and has 18 rows the border of the quilt is made by using each toy design equally as
mixer [17]

Answer:

The correct answer is two designs are used 12 times each and other four designs are used for 13 times each.

Step-by-step explanation:

Width of the quilt Lu is making is 18 rows of 20 squares each.

Thus the perimeter of the quilt is 20 + 20 + 18 + 18 = 76.

We can also say there are 76 square as the boundary which are to be bordered with toy designs.

Each square can hold 1 design of toy and there are 6 different designs of toys.

Thus number of times each design is used \frac{76}{6} = 12 \frac{4}{6}.

Thus there are two designs used 12 times each and other four designs are used for 13 times each.

3 0
3 years ago
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