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cricket20 [7]
2 years ago
11

Factored form of 2x^2+x-3 must show work

Mathematics
1 answer:
frozen [14]2 years ago
4 0

Answer:

(2x+3)(x - 1)

Step-by-step explanation:

Since there is no common number to factor by we must approach this problem differently:

Step 1:

Multiply leading coefficient (2) by the constant term (-3)

2 x -3 = -6

Step two:

Find two numbers that multiply to -6 but add to the middle coefficient (1).

You should find these numbers to be 3 and -2

Step 3:

Replace 1x in the equation with your found numbers

2x^2 - 2x + 3x - 3

Step 4:

Take out the greatest common factor from the first two numbers, and the last two numbers.

For 2x^2 - 2x the greatest common factor would be 2x

For 3x - 3 the greatest common factor would be 3.

Step 5:

Factor out the found common factors

2x(x-1) + 3(x-1)

The values inside the bracket should be the same.

Step 6:

Factor out (x-1)

(x - 1)(2x + 3)

Therefore the factored form is (2x + 3)(x - 1)

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Lady bird [3.3K]

Answer:

The answer is 90 winners.

Step-by-step explanation:

Well, we are given three days. The first day has a rate of 13% winning. The second day has a rate of 13% as well. And the third day has a rate of 11%. You can find this simply by dividing the amount of winners by amount of participants. Now, we must find the mean, or average, of these statistics. We will get 12% as the average rate of winners. How did we get this? By simply adding all three (13+13+11) then dividing by three (37/3), which gives us 12% if we round to a whole number. Now, we can take this number and get 12% of 750. How do we do this? Well, 12% is equal to 0.12. So we will multiply 0.12 by 750. This will give us 90. And there you have your answer.

<em>Alternatively</em>, you could add up the total amount of contestants from the three days. You should end up with 1000. Then add up the total amount of winners from the three days. You should get 120. Divide both of these by 4. The winners will now be 40, and the total contestants will be 250. Now multiply both by 3. The amount of contestants will be 750, and the amount of winners will be 90. This way is a bit easier, but does not always work. <u>Do what is best for you!</u>

Hope this helped!

7 0
3 years ago
Can someone please help me find the side length area, and please draw the shape on how it would look if it were finished
Mumz [18]

The side length is 5 units, and the area is 25 square units

<h3>What are areas?</h3>

The area of a shape is the amount of space it occupies

<h3>What is the area of a square</h3>

The area of a square is the product of its dimensions

From the graph, the coordinates of the square can be assumed to be:

A = (0,0)

B = (4,3)

The side length of the square is then calculated using the following distance formula

d = \sqrt{(x_2- x_1)^2 + (y_2 -y_1)^2}

So, we have:

AB = \sqrt{(0 - 4)^2 + (0-3)^2}

AB = \sqrt{25}

AB = 5

The area of the square is the calculated as:

Area = AB^2

This gives

Area = 5^2

Area = 25

Hence, the side length is 5 units, and the area is 25 square units

See attachment for the diagram of the shape

Read more about areas at:

brainly.com/question/24487155

6 0
3 years ago
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aivan3 [116]
7 miles is what Steve ran 
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3 years ago
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What number completes the sequence below? Enter your answer in the input
Dmitrij [34]

Answer:

The answer is 5

Step-by-step explanation:

if you see, the start of table starts at 35 and then goes goes to 7

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3 years ago
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<span>2² + 4² ÷ 2<span>²

4 + 16 </span></span>÷ 4

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