MATHEMATICS COLLEGE

I need help solving this equatioion.
(2xy)(3y)

Answers

Answer 1
Answer:

Step-by-step explanation:

So first we will multiply

(2xy)(3y)

=

6x {y}^(2)

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-1/2+c=31/4 solve for c I will give branliest
Need Help Fast!!!!!!!!!!!!!!!!!!
A television set is 36 inches wide and has a diagonal length of 42 inches. To the nearest inch, how tall is the set?

1. Suppose f(x) = x^4-2x^3+ax^2+x+3. If f(3) = 2, then what is a? 2. Let f, g, and h be polynomials such that h(x) = f(x) * g(x). If the constant term of f(x) is -4 and the constant term of h(x) is 3, what is g(0)? 3. Suppose the polynomials f and g are both monic polynomials. If the sum f(x) + g(x) is also monic, what can we deduce about the degrees of f and g? 4. If f(x) is a polynomial, is f(x^2) also a polynomial 5. Consider the polynomial function g(x) = x^4-3x^2+9 a. What must be true of a polynomial function f(x) if f(x) and f(-x) are the same polynomial b.What must be true of a polynomial function f(x) if f(x) and -f(-x) are the same polynomial

Answers

Answer:

1. a = -31/9

2. -3/4

3. Different degree polynomials

4. Yes, of a degree 2n

5. a. Even-degree variables

b. Odd- degree variables

Step-by-step explanation:

1. Suppose f(x) = x^4-2x^3+ax^2+x+3. If f(3) = 2, then what is a?

Plugging in 3 for x:

f(3)= 3^4 - 2*3^3 + a*3^2 + 3 + 3= 81 - 54 + 6 + 9a = 33 + 9a and f(3)= 2

  • 9a+33= 2
  • 9a= -31
  • a = -31/9

------------

2. Let f, g, and h be polynomials such that h(x) = f(x) * g(x). If the constant term of f(x) is -4 and the constant term of h(x) is 3, what is g(0)?

  • f(0)= -4, h(0)= 3, g(0) = ?
  • h(x)= f(x)*g(x)
  • g(x)= h(x)/f(x)
  • g(0) = h(0)/f(0) = 3/-4= -3/4
  • g(0)= -3/4

------------

3. Suppose the polynomials f and g are both monic polynomials. If the sum f(x) + g(x) is also monic, what can we deduce about the degrees of f and g?

  • A monic polynomial is a single-variable polynomial in which the leading coefficient is equal to 1.

If the sum of monic polynomials f(x) + g(x) is also monic, then f(x) and g(x) are of different degree and their sum only change the one with the lower degree, leaving the higher degree variable unchanged.

------------

4. If f(x) is a polynomial, is f(x^2) also a polynomial?

  • If f(x) is a polynomial of degree n, then f(x^2) is a polynomial of degree 2n

------------

5. Consider the polynomial function g(x) = x^4-3x^2+9

a. What must be true of a polynomial function f(x) if f(x) and f(-x) are the same polynomial?

  • If f(x) and f(-x) are same polynomials, then they have even-degree variables.

b.What must be true of a polynomial function f(x) if f(x) and -f(-x) are the same polynomial?

  • If f(x) and -f(-x) are the same polynomials, then they have odd-degree variables.

1/3 x− 1/8 y=3
7y+9x=−2
please solve the system
45 points for who does

Answers

Answer:

x=6\ny=-8

Step-by-step explanation:

(1)/(3)x-(1)/(8)y=3\n 7y+9x=-2

One method could be rewriting the second equation as x in terms of y and solving by replacing in the first equation.

7y+9x=-2\n9x=-2-7y\nx=(-7y-2)/(9)

Replace...

(1)/(3)x-(1)/(8)y=3

(1)/(3)((-7y-2)/(9))-(1)/(8)y=3

(-7y-2)/(27)-(1)/(8)y=3

-(7)/(27)y-(2)/(27)-(1)/(8)y=3

add (2)/(27) on both sides.

-(7)/(27)y-(1)/(8)y=3+(2)/(27)

Combine like terms

((-7)(8)-(1)(27))/((27)(8)) y=((3)(27)+2)/(27)

(-56-27)/(216) y=(81+2)/(27)

(-83)/(216)y =(83)/(27)

Now, to get rid of the fraction and isolate y, multiply by the reciprocal or the inverted fraction.

((216)/(-83)) (-83)/(216)y =(83)/(27)((216)/(-83))

y=(216)/(-27)

Simplify

y=-8

Now replace the value of y in either equation to find x.

7y+9x=-2\n7(-8)+9x=-2\n-56+9x=-2

add 56

56-56+9x=-2+56\n9x=54\n

Divide by 9

(9x)/(9)=(54)/(9)\n x=6

To check whether these values are accurate, replace in either equation both values and you should have an equality. In this case I'll do it in both equations.

(1)/(3)x-(1)/(8)y=3

(1)/(3)(6)-(1)/(8)(-8)=3

2-(-1)=3\n2+1=3\n3=3

-----------------------------------------------------------------

7y+9x=-2\n7(-8)+9(6)=-2\n-56+54=-2\n-2=-2

Look at the system of equations below.y = {x + 10
y = {x – 10
Which of these statements is correct?
A. The system has no solution.
B. The solution of the system is (-3,8).
C. The solution of the system is (6,-6).
D. The system has an infinite number of
tiang

Answers

Answer:

Step-by-step explanation:

A
The relationship between a relationship between his life is a stronger understanding and relationship with the revolution and his relationship between his relationship with the union of his life relationship and his life and his father relationship is a stronger understanding and understanding that his life relationship with the union and relationship is stronger understanding of understanding

Solve for the unknown.a) sin (x – 5°) = cos (35°)


b) sin (2x – 17°) = cos (x – 4°)


c) sin (x)= cos (x)


Show steps

Answers

Step-by-step explanation:

Use shifts to write sine and cosine in terms of each other.

a) sin (x – 5°) = cos (35°)

sin (x – 5°) = sin (90° – 35°)

sin (x – 5°) = sin (55°)

x – 5° = 55°

x = 60°

b) sin (2x – 17°) = cos (x – 4°)

sin (2x – 17°) = sin (90° – (x – 4°))

sin (2x – 17°) = sin (90° – x + 4°)

sin (2x – 17°) = sin (94° – x)

2x – 17° = 94° – x

3x = 111°

x = 37°

c) sin (x) = cos (x)

sin (x) = sin (90° – x)

x = 90° – x

2x = 90°

x = 45°

I need help setting up this problem

Answers

R represents regular and F will represent recycled fibers. 
R + F = 27
46.99R + 61.99F = 1433.73 
This is how you would set the problem up to begin. Let me know if you need help from here!

Solve this system of linear equations. Separatthe x- and y-values with a comma.
9x - 10y = -34
3x - 4y = -16

Answers

Answer:

9x - 10y = - 34 - - - (a) \n 3x - 4y = - 16 - - - (b) \n (a) - 3 * (b) : \n 0x + 2y = 14 \n y = 7 \n 3x - (4 * 7) = - 16 \n 3x = 12 \n x = 4

answer:( 4, 7 )

Hi there!  

»»————-　★　————-««

I believe your answer is:  

(4,7)

»»————-　★　————-««  

Here’s why:  

  • I have graphed the system on a program.
  • The two lines intercept at the point (4,7). This means that it is the solution to the system.
  • See the graph attached.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  
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