8) A bag contains 5 red marbles and

Five more than the product of x and 6is the same as 12

velikii [3]

Answer:

Step-by-step explanation:

5+6x =12

5 0

3 years ago

Express into partial fractions 3x³ - 5x² - 3x - 40/( x² + 4)(x - 3)

Fudgin [204]

First simplify the rational expression by dividing. The degree in the numerator has to be at least 1 less than the degree in the denominator before you can decompose into partial fractions.

(3x³ - 5x² - 3x - 40) / ((x² + 4) (x - 3)) = 3 + (4x² - 15x - 4) / ((x² + 4) (x - 3))

Now decompose the remainder term into partial fractions:

(4x² - 15x - 4) / ((x² + 4) (x - 3)) = (ax + b) / (x² + 4) + c / (x - 3)

Multiply both sides by the denominator on the left:

4x² - 15x - 4 = (ax + b) (x - 3) + c (x² + 4)

Expand the right side:

4x² - 15x - 4 = ax² + (b - 3a) x - 3b + cx² + 4c

4x² - 15x - 4 = (a + c) x² + (b - 3a) x - 3b + 4c

Then

a + c = 4

b - 3a = -15

-3b + 4c = -4

Solve this system to get

a = 5, b = 0, c = -1

We end up with

(4x² - 15x - 4) / ((x² + 4) (x - 3)) = 5x / (x² + 4) - 1 / (x - 3)

and so

(3x³ - 5x² - 3x - 40) / ((x² + 4) (x - 3))

= 3 + 5x / (x² + 4) - 1 / (x - 3)

8 0

3 years ago

At what ordered pair is "Parking Lot B" located at?

Arlecino [84]

The ordered pair of the parking lot is the coordinates of the lot in the coordinate plane

Parking lot B is located in the ordered pair (-3,4)

<h3>How to determine the ordered pair of lot B</h3>

From the figure, we have the following highlights

Parking lot B is located at x = -3 on the horizontal axis, and it is located at y = 4 on the vertical axis.

So, we have:

(x,y) = (-3,4)

Hence, parking lot B is located in the ordered pair (-3,4)

Read more about ordered pairs at:

brainly.com/question/16045635

8 0

2 years ago

(10 points) Suppose an advance in technology in Macroland leads to an improvement in labor

lidiya [134]

lol rofl

fghdagfkwheyin3unichfuwbvg

6 0

3 years ago

NEED TO SHOW ALL WORK) For each of the equations given below, use the triangle method to solve for the

Lelechka [254]

Answer:

1) $a=\dfrac{F}{m}$

2) $m=\dfrac{p}{v}$

Step-by-step explanation:

1) The given equation is

$F=ma$

We need to solve this for a.

In the given triangle place single variable i.e., F, on the top and variables in the product in the bottom (order of m and a does not matter) as shown in the below figure.

Using the triangle and the operations (× and ÷), we get

$F=ma$

$a=\dfrac{F}{m}$

$m=\dfrac{F}{a}$

Therefore, the required answer is $a=\dfrac{F}{m}$ .

2) The given equation is

$p=mv$

We need to solve this for m.

In the given triangle place single variable i.e., p, on the top and variables in the product in the bottom (order of m and v does not matter) as shown in the below figure.

Using the triangle and the operations (× and ÷), we get

$p=mv$

$m=\dfrac{p}{v}$

$v=\dfrac{p}{m}$

Therefore, the required answer is $m=\dfrac{p}{v}$ .

3 0

3 years ago