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2 years ago

Which of the following is the solution set to the equation: 2x(x-3)(4x+1)=0?

Mathematics

1 answer:

Troyanec [42]2 years ago

3 0

Answer:

(1) {-1/4, 0, 3}

Step-by-step explanation:

Step 1: Factor left side of equation.

2x(4x+1)(x−3)=0

Step 2: Set factors equal to 0.

2x=0 or 4x+1=0 or x−3=0

x=0 or x= −1/4 or x=3

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The length of a rectangle is 5 more than the width. The area is 126 square feet. Find the length and width of the rectangle.

solmaris [256]

The length of the rectangle is 14 feet and the width of the rectangle is 9 feet.

The length of a rectangle is 5 more than the width. The area is 126 square feet.

We need to find the length and width of the rectangle.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle is calculated by multiplying the rectangle's length by its width.

Let the width of the rectangle be x, then the length of the rectangle be x+5.

We know that the area of the rectangle = Length×Width

Now, the area of the rectangle = (x+5)×x=126 square feet.

⇒ $x^{2}+5x-126=0$

⇒ $x^{2}+14x-9x-126=0$

⇒ $x(x+14)-9(x+14)=0$

⇒ $x=-14, x=9$ .

Since length cannot be a negative integer.

So, Width=9 feet and Length=9+5=14 feet.

Hence, the length of the rectangle is 14 feet and the width of the rectangle is 9 feet.

To know more about the area of the rectangle visit:

brainly.com/question/20693059

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3 0

1 year ago

assuming that no questions are left unanswered, in how many ways can a six-question quiz with 4-choice multiple choice questions

AfilCa [17]

Given:

Total number of questions = 6

Choice for each question (in MCQ) = 4

Assuming that no questions are left unanswered.

To find:

The total number ways to answer the quiz, assuming that no questions are left unanswered.

Solution:

Here, Number of ways to answer each question = 4

To find the total number ways to answer 6 MCQ, we have to have to multiply number of ways to answer each question 6 times.

Total number of ways to answer six-question quiz with 4-choice multiple choice questions is

$4\times 4\times 4\times 4\times 4\times 4=4096$

Therefore, the required number of ways is 4096.

3 0

2 years ago

11.

Mrrafil [7]

Answer:

2 should be distributed as 2y + 16; y = 8

Step-by-step explanation:

We have to distribute 2, then:

Now we have to sum (-2y) in both sides of the equation:

Finally we have to divide both sides of the equation in 2:

Then the answer is 2 should be distributed as 2y + 16; y = 8

Hope this helps.

8 0

3 years ago

How can energy be transferred in a car?

kherson [118]

Answer: The internal combustion engine in the car converts the potential chemical energy in gasoline and oxygen into thermal energy which is transformed into the mechanical energy that accelerates the vehicle (increasing its kinetic energy) by causing the pressure and performing the work on the pistons.

Step-by-step explanation: hop this helps

5 0

3 years ago

Read 2 more answers

Anyone can solve this for me thx

guajiro [1.7K]

Answer:

Step-by-step explanation:

5 0

2 years ago