Solve for b and c

2x^3-8x^2-24x=2x(ax+b)(cx+d)

a=1 and d=-6

Answers

Answer 1
Answer:

Answer:

b = 2, c = 1

Step-by-step explanation:

2x³ - 8x² - 24x == 2x(ax + b)(cx + d)

2x³ - 8x² - 24x = 2x(x² - 4x - 12)

= 2x(x + 2)(x - 6)

Answer 2
Answer:

Answer:

Step-by-step explanation:

b=2, c=1


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The measure of each interior angle of a _______ quadrilateral is _________than ________

Answers

the measure of each interior angle of a convex quadrilateral is less than 180 degrees

100 points with work

Answers

Answer:

jacky 12 809 n-t

Step-by-step explanation:

Answer:

he said it not me

the bill came to $136.40 The patrons decided to leave a 15% tip what was the total bill including the tip

Answers

Answer:

  • $156.86

Step-by-step explanation:

Total = bill + tip

  • 136.40 + 0.15*136.40 =
  • 136.40 + 20.46 =
  • 156.86

Solve this system of equations using any method. 2x – y = 5 4x + y =7

Answers

Substitute on equation 2, y = -4x + 7. so equation 1 becomes 2x - (-4x + 7) = 6x - 7 = 5. 6x = 12, so x = 2. from above, y = -4x+7 = -4(2) + 7 = -1

Marcia performs an experiment in which she pulls a marble from a bag. In herexperiment, she finds that she is twice as likely to pull a red marble as a blue
marble. If Marcia pulls 10 red marbles, how many blue marbles does she pull?

Answers

Answer:

She pulls 5 blue marbles

Step-by-step explanation:

Let x be the number of blue marbles

We are given that In her  experiment, she finds that she is twice as likely to pull a red marble as a blue  marble.

So, Number of red marbles = 2x

We are given that Marcia pulls 10 red marbles

So, 2x = 10

x =(10)/(2)

x=5

Hence She pulls 5 blue marbles

The length of a rectangle is twice the width. The area of the rectangle is 80 square units. Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each​ square? Estimate the length and width of the rectangle.

Answers

Answer:

Width of the rectangle = 6.325 units

Length of the rectangle = 12.65 units

Side length of the square the 6.325 units.

Step-by-step explanation:

The length of a rectangle is twice the width. The area of the rectangle is 80 square units.

The area of the rectangle = Length × Width

Length = 2W

80 square units = 2W × W

80 = 2W²

W² = 80/2

W² = 40

W = √40

Width of the rectangle = 6.3245553203 units

Approximately = 6.325 units

Length = 2 × Width

= 2 × 6.325

= 12.65 units

• Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each​ square?

We you divide a rectangle into 2 squares,

The length is divided into two.

Hence, the length of the rectangle = 12.65 units

12.65 units ÷ 2 = 6.325 units.

Hence, the side length of the square the 6.325 units.

Final answer:

To estimate the side length of each square, find the square root of the area of the rectangle. The square root of 80 is approximately 8.94. The length is twice the width, so the width of the rectangle is approximately 6.32 units and the length is approximately 12.64 units.

Explanation:

To estimate the side length of each square, we can find the square root of the area of the rectangle. The square root of 80 is approximately 8.94. Since the rectangle can be divided into two squares with equal area, each side of the square would be approximately 8.94 units long.

Now, let's find the length and width of the rectangle. It is given that the length is twice the width. Let's represent the width as 'x'. In that case, the length would be '2x'. We know that the area of the rectangle is 80, so we can set up the equation:

width x length = area ------> x  x2x = 80 ------> 2x² = 80

Dividing both sides of the equation by 2, we get: x² = 40. Taking the square root of both sides, we find that x is approximately 6.32. Therefore, the width of the rectangle is approximately 6.32 units and the length is approximately twice that, or 12.64 units.

Learn more about Area of the Rectangle here:

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