If (x2 +3x +5)(x2 +3x - 5) = m2-n2, then find m ?

Answers

Answer 1
Answer: (x^2+3x+5)(x^2+3x-5)=m^2-n^2\n\n\ [(x^2+3x)+5][(x^2+3x)-5]=(m+n)(m-n)\n\nm=x^2+3x;\ n=5

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Frank buys p pounds of oranges for $2.29 perpound and the same number of pounds of applesfor $1.69 per pound.a. What do the coefficients represent?ہمb. What do the terms represent?
Find the value of the expression 4a to the fourth power - 2b squared +40 when a =2 and b=7
Please help me solve this question.
1. Which of the following is the factored form of the expression: 3x2 – 4x? A. x(3x - 4) B. x(3 – 4x) C. (3x -1) (x -1) D. (3x +1)(x -1) 2. Which is a completely factored form of the expression: x2 + 21x +20 ? A. (x + 5)(x + 4) B. (x + 10)(x + 2) C. (x + 20)(x + 1) D. (x + 21)(x - 1) 3. Which expression is factored form of 4x2 -9? A. 2(x - 3)2 B. (x - 3)2 C. 2(x + 3)(x - 3) D. (2x + 3)(2x - 3) 4. Below are factored forms of the expression: 12x3 – 36x2 . Which expression has the greatest common factor as the first term? A. 3x (4x2 – 12x) B. 4x2(3x -9 C. 12x2(x – 3) D. 12x(x2 - 3x) 5. Adele’s lawn has an area of (x2 -5x -6) square feet and a length of (x + 1) feet. What is the width of the lawn in feet? A. (x -6) B. (x +6) C. (x2 -4x -5) D. (x2 -6x -7) 6. The expression below represents the area, in square meters, of a rectangle: X2 + 5x -24 Which of the following pairs of expressions could represent the length and width, in meters, of the rectangle? A. (x – 3) and (x + 8) B. (x – 4) and (x + 6) C. (x – 6) and (x + 4) D. (x – 8) and (x + 3) 7. What is the complete factorization of 32 – 8z2? A. -8(2 + z)(2 –z) B. 8(2 + z)(2 – z) C. -8(2 + z)2 D. 8(2 – z)2 8. What is the greatest common factor of: 12x2 , 24x2y2 , and 46xy? A. 4x B. 3x C. 6x D. 2x 9. Which expression is equivalent to: 2x2 -3x -35? A. (2x + 7)(x - 5) B. (2x - 7) (x + 5) C. (2x - 5)(x + 7) D. (2x + 5)(x - 7) 10. What are the factors of 81x2 + 36x + 4? A. (9x + 2)(x +2) B. (9x +2)(9x +2) C. (9x -2)(9x -2) D. (9x +2)(9x -2) 11. The top of a rectangular table has an area of: 18x2+ 69x +60. The width of the table is 3x + 4. What is the length of the table? (Show proof by multiplying – show your work) 12. Simplify: (x2 +2x)(5x -3) A. 11x2 -3 B. 6x3 -6x C. 5x3 + 7x2 – 6x D. 5x3 – 13x2 -6x 13. Factor by grouping: 30g5 +24g3h – 35g2h2 - 28h3 Show your work! 14. Which is the correct way to factor the polynomial : x2 -16? A. (x -4)(x -4) B. (x -4)(x +4) C. (x +4)(x -2)(x +2) D. Not factorable 15. The area of a square painting is: 81p2 + 90p +25. What is the length of one side? Prove by multiplication – show your work.
!!!!!!!!!!!!!!!!!!!WHEN DO YOU FLIP SIGNS IN INEQUALITIES????????????

Cory remembers that his ATV had 4 gallons of gasoline in the tank on Monday. After driving a total of 40 miles duringthe week, he has 2 gallons of gas remaining. Find the slope of the graph representing this situation.

Answers

Answer:

-1/20

Step-by-step explanation:

For a graph like this you should make the gallons of gas on y-axis and the miles driven on the x-axis.

To find slope the formula is (y2-y1)/(x2-x1)

So in this case it is 2-4/40-0

-2/40

This reduces to -1/20

2/5 divided by 9/10A. 2/5
B. 4/5
C. 2/9
D. 4/9

actually 0.00444444444 as a fraction

Answers

it would be D because when you divide fractions, you multiply by the reciprocal of the fractions so 2/5 * 10/9. Then you simplify and get 4/9. Hope this helps!!!!!!!

What is domain and range

Answers

domain = x
range = y
so like in (4,1) The four is the domain and the range is 1

Domain is all the x coordinates, range is the y coordinates

What is the common ratio of the following sequence?
80, 20, 5,

Answers

The value of the common ratio of the sequence is,

⇒ 1 / 4

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The sequence is,

⇒ 80, 20, 5,...

Now, We can find as;

The value of the common ratio of the sequence is,

⇒ 20 / 80

⇒ 1 / 4

Thus, The value of the common ratio of the sequence is,

⇒ 1 / 4

Learn more about the geometric sequence visit:

brainly.com/question/25461416

#SPJ2

5 times 4 = 20, 20 times 4 = 80.  The ratio is declining by one fourth 1/4

What is the algebraic expression for the following word phrase: the quotient of 3 and z

Answers

3/z
Or at least im quite sure, being that quotient implies division
3 divided by z is the answer

a test has 25 questions and is worth a total of 100 points. it consists of multiple choice that are worth 8 points each and short answer that are worth 3 points each. how many multiple choice are there on the test?

Answers

Answer:

5

Step-by-step explanation:

8*5=40  and then 20 short answer that are 3 each. that makes up the rest of the 60 points

Answer:

There would be 5 multiple choice questions

Step-by-step explanation:

5x8=40

20x3=60

25 questions for total of 100 points