problem 5. if n1 = 2 , n2 = 4 , and ( ) 5 ( ) 3 v t e u t t in − = , find the output voltage v (t) out for t ≥ 0.

Answer:

(x - 2)(x + 1)(2x -1)

Step-by-step explanation:

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                  4       2     -2

    -------------------------------

          2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                   -2    1

     ---------------------

             2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

here, we have,

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                 4       2     -2

   -------------------------------

         2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                  -2    1

    ---------------------

            2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

Hence, The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

Know more about Polynomials here:

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Answer:

The distance A’C’ is 4.47 units

Step-by-step explanation:

Before we go on, we need to get the appropriate transformation

Mathematically, we have a 90 degrees clockwise rotation yielding the following;

(x,y) to (-y,x)

A is (-4,1)

C is (-2,5)

By transforming, we have

A’( -1,-4)

C’ (-5,-2)

To get the magnitude of the line segment, we are going to use the distance formula between points

We have this as;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-5-(-1))^2 + (-2-(-4))^2

D = √(-4)^2 + (2)^2

D = √(16 + 4)

D = √20

D = 4.47 units

Answer:  14,533.79 don´t take my word for it

Step-by-step explanation:

Future Value of Annuity Due

P = 2,000

r = 5.5% (0.055)

n = 6

1.055 * (2,000 * [(1 + 0.055)^6 - 1)/(0.055)])

= 14,533.79

Answer: q=4

Step-by-step explanation:

Step-by-step explanation:

above guy is right. i donot about this.sorry and thanks.

Answer:

The answer is the first one: y=3x+1

Step-by-step explanation:

For this question, you have to substitute different values of x and y in the table into the equation shown below the table.

y = 3x + 1

Sub x=4 and y=13

13 = 3(4) + 1

13 = 12 + 1

13 = 13

Sub x=2 and y=7

7 = 3(2) + 1

7 = 6 + 1

7 = 7

Sub x=0 and y=1

1 = 3(0) + 1

1 = 0 + 1

1 = 1

Sub x=-2 and y=-5

-5 = 3(-2) + 1

-5 = -6 + 1

-5 = -5

Hope it helps :)

Step-by-step explanation:

3b-3=3(b-1)

3.5+4=7,5

Answer:

yes

Step-by-step explanation:

Answer:

Not very many due to the fact that new york is more then just a busy place.

Step-by-step explanation:

Hope this helps Sorry if not

Answer:

Y=MX+C is the equations of a straight line where C is the constant (y intercept)

Looking at a and b and the two graphs c and d

The function c represents the lowest value of the y intercept which is at -3

Answer:1

Step-by-step explanation:

Because 9 is a rich numbers uwill borrow one to the other side so it will become 1.0000

Answer:

1 is round off of 0.9271to the nearest whole number.

Answer:

First option) √13 m

Step-by-step explanation:

Using the Pythagorean theorem. 2^2+3^2=c^2

4+9=c^2

13=c^2

c=3.61

3.61 meters

Answer:

D

Step-by-step explanation:

To keep it short, refer to triangle exterior angle theorem.

Edit: If you want the full explanation,

A isn't the answer. The triangle exterior angle states that the measure of the 2 triangle interior add up to the the exterior angle of the other interior angle within the triangle.

Meaning that

measure of angle 1 equal the measure of 3 and 4 combined.

B. is wrong they are equal to each other because angle 2 is equal to angle 2

angle 1 is equal to angle 3 and 4

So they are equal

C.Wrong unless it a 30 60 90 triangle or 45 45 90 triangle, C is wrong

D. is right since measure of angle 4 and angle 3 add up to angle 1, angle 4 would be lesser than angle 1.

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes, she does

Answer:

Yes, she does

Step-by-step explanation:

Answer:

8a2-8b2+7ab

Step-by-step explanation:

Putting together all of the a2 gets you to 8a2

Putting together all of the b2 gets you to -8b2

Putting together all of the ab gets you to 7ab

Answer:

g(-4) = 1  g(5) = -3

Step-by-step explanation:

Step 1: Recognize this is in function notation

In funcion notation what is in the brackets are the x coordinates of the point

Step 2: Solve

We see the first one is g(-4) so we head to the left side of the x-axis and look for a point on the line that has the x value of -4.  We see that at x = -4 y is equal to 1 so g(-4) is equal to 1

Next we take a look at g(5) so we look at the right side of the x-axis and see that the line crosses x=5 at y=-3 so the value of g(5) is -3

its either a or d but positive its a

Answer:

Horizontal

Step-by-step explanation:

Answer:

Y=7 is a horizontal line :)

Step-by-step explanation:

(The equation can be written as y=0x+7 ). Thus, y will always be 7 , creating a horizontal line.

Answer:

The answer of the question is 6(5x+4)=3(10x+7)

Answer:

x = 135

Step-by-step explanation:

The angles at the bottom are right angles (90°)

The sum of interior angles in this rectangle is equal to 720°

Find the sum of interior angles

4x + 180 = 720 subtract 180 from both sides

4x = 540 divide both sides by 4

x = 135 this is also giving us the measure of missing angles.

Answer:

Digital electronics.

Analogue electronics.

Microelectronics.

Circuit design.

Step-by-step explanation:

Answer:

photomath, assistant in mathematics, will decompose everything and give the correct answer.

Answer:A

scalene triangle is a triangle that has three unequal sides

Step-by-step explanation:

Answer:

the first one is D, the second is B, hope this helps

Step-by-step explanation:

Answer: B. 70

Step-by-step explanation:

i actually can't tell but i think this is right

Answer:

0 1.4 is the answer

Step-by-step explanation:

well if you round thats why

Answer:

71.4

Step-by-step explanation:

Looked it up