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
astra-53 [7]
3 years ago
15

Factor the polynomial. 7x2 + 68xy - 20y2 A) (7x - 2y)(x + 10y) B) (7x - 10y)(x - 2y) C) (7x + 10y)(x + 2y) D) (7x + 2y)(x - 10y)

Mathematics
1 answer:
Otrada [13]3 years ago
5 0
For this case we have the following polynomial:
 7x2 + 68xy - 20y2
 Factoring we have:
 (7x-2y) (x + 10y)
 We verify the factorization:
 7x2 + 70xy - 2xy - 20y2
 Rewriting we have:
 7x2 + 68xy - 20y2
 Therefore, the factorization is correct.
 Answer:
 
A) (7x - 2y) (x + 10y)
You might be interested in
For his mobile phone service, John pays a monthly fee of $40 plus $15 for each 1 GB of data (rounded up) over his 8 GB of data t
kolbaska11 [484]

Answer:

John can use no more than 2 GB of additional data

Step-by-step explanation:

Monthly fee = $40

Additional fee = $15 for each 1 GB of data (rounded up) over his 8 GB.

Let x be the number of additional data in GB over his 8 GB of data that comes with his plan.

Total monthly charge is

C(x)=40+15x

It is given that monthly charge before taxes to be at most $70.

C(x)\leq 70

40+15x\leq 70

15x\leq 70-40

15x\leq 30

Divide both sides by 2.

x\leq 2

Therefore, John can use no more than 2 GB of additional data.

3 0
3 years ago
Write the equation of a line that is parallel to y = 2x and goes through point (2, 5).
Allisa [31]

Answer:

Id love to help but I do not under stand this kind of math

Step-by-step explanation:

Sorry

7 0
3 years ago
Find the volume of the figure. Round to the
Elodia [21]

Answer:

1,286.1 units is the answer

Step-by-step explanation:

your answer may vary depending on what you use for pie, using a calculator with pie on it gave me approx. 1286.79635

volume formula: V=πr^2h

so π*6.4^2*h

π*40.96*10

3.14*409.6

1,286.144

round

1,286.1

4 0
3 years ago
Use Gaussian elimination to write each system in triangular form
Feliz [49]

Answer:

To see the steps to the diagonal form see the step-by-step explanation. The solution to the system is x =  -\frac{1}{9}, y= -\frac{1}{9}, z= \frac{4}{9} and w = \frac{7}{9}

Step-by-step explanation:

Gauss elimination method consists in reducing the matrix to a upper triangular one by using three different types of row operations (this is why the method is also called row reduction method). The three elementary row operations are:

  1. Swapping two rows
  2. Multiplying a row by a nonzero number
  3. Adding a multiple of one row to another row

To solve the system using the Gauss elimination method we need to write the augmented matrix of the system. For the given system, this matrix is:

\left[\begin{array}{cccc|c}1 & 1 & 1 & 1 & 1 \\1 & 1 & 0 & -1 & -1 \\-1 & 1 & 1 & 2 & 2 \\1 & 2 & -1 & 1 & 0\end{array}\right]

For this matrix we need to perform the following row operations:

  • R_2 - 1 R_1 \rightarrow R_2 (multiply 1 row by 1 and subtract it from 2 row)
  • R_3 + 1 R_1 \rightarrow R_3 (multiply 1 row by 1 and add it to 3 row)
  • R_4 - 1 R_1 \rightarrow R_4 (multiply 1 row by 1 and subtract it from 4 row)
  • R_2 \leftrightarrow R_3 (interchange the 2 and 3 rows)
  • R_2 / 2 \rightarrow R_2 (divide the 2 row by 2)
  • R_1 - 1 R_2 \rightarrow R_1 (multiply 2 row by 1 and subtract it from 1 row)
  • R_4 - 1 R_2 \rightarrow R_4 (multiply 2 row by 1 and subtract it from 4 row)
  • R_3 \cdot ( -1) \rightarrow R_3 (multiply the 3 row by -1)
  • R_2 - 1 R_3 \rightarrow R_2 (multiply 3 row by 1 and subtract it from 2 row)
  • R_4 + 3 R_3 \rightarrow R_4 (multiply 3 row by 3 and add it to 4 row)
  • R_4 / 4.5 \rightarrow R_4 (divide the 4 row by 4.5)

After this step, the system has an upper triangular form

The triangular matrix looks like:

\left[\begin{array}{cccc|c}1 & 0 & 0 & -0.5 & -0.5  \\0 & 1 & 0 & -0.5 & -0.5\\0 & 0 & 1 & 2 &  2 \\0 & 0 & 0 & 1 &  \frac{7}{9}\end{array}\right]

If you later perform the following operations you can find the solution to the system.

  • R_1 + 0.5 R_4 \rightarrow R_1 (multiply 4 row by 0.5 and add it to 1 row)
  • R_2 + 0.5 R_4 \rightarrow R_2 (multiply 4 row by 0.5 and add it to 2 row)
  • R_3 - 2 R_4 \rightarrow R_3(multiply 4 row by 2 and subtract it from 3 row)

After this operations, the matrix should look like:

\left[\begin{array}{cccc|c}1 & 0 & 0 & 0 & -\frac{1}{9}  \\0 & 1 & 0 & 0 &   -\frac{1}{9}\\0 & 0 & 1 & 0 &  \frac{4}{9} \\0 & 0 & 0 & 1 &  \frac{7}{9}\end{array}\right]

Thus, the solution is:

x =  -\frac{1}{9}, y= -\frac{1}{9}, z= \frac{4}{9} and w = \frac{7}{9}

7 0
3 years ago
Idk if this is correct or not !!!!!!!! WILL MARK BRIANLIEST !!!!!!!! PLEASE HELP !!!!!!!!!!!!!!!
andrew-mc [135]

Answer:

yes i took this test thats correct ! brainliest please :)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • HELP ON GEOMETRY!!! PHOTO ATTACHED
    15·1 answer
  • 5x squared + 30x=0<br> How does that equal zero?
    11·2 answers
  • student receives the following​ grades, with an A worth 4​ points, a B worth 3​ points, a C worth 2​ points, and a D worth 1 poi
    9·1 answer
  • How do I label this on the number line?
    9·1 answer
  • What is 0.093 in scientific notation
    7·1 answer
  • HELPPPP PLSSSS 15 points and brainlist
    9·2 answers
  • WHICH ONE?! AND PLS EXPLAIN WHYYY fast pls :( <br><br> A, B, C or F
    6·1 answer
  • Which number rounds to 700 when rounded to the nearest hundred?​
    14·1 answer
  • Solve for r<br> literal equation<img src="https://tex.z-dn.net/?f=S%20%3D%20%5Cfrac%7Ba%7D%7Ba-r%7D" id="TexFormula1" title="S =
    5·1 answer
  • I WILL MARK BRAINLIEST!!!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!