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Harlamova29_29 [7]
3 years ago
12

Subtract - 7x + 6 from – 2x2 + 9x -2

Mathematics
2 answers:
gregori [183]3 years ago
8 0

Answer:

it might be −2⋅(x+1)⋅(x−2)

Step-by-step explanation:

(1): "x2"   was replaced by   "x^2".

(6 - 7x) -  2x2) +  9x) -  2

Pull out like factors :

-2x2 + 2x + 4  =   -2 • (x2 - x - 2)

Factoring  x2 - x - 2

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -2

Step-1 : Multiply the coefficient of the first term by the constant   1 • -2 = -2

Step-2 : Find two factors of  -2  whose sum equals the coefficient of the middle term, which is   -1 .

     -2    +    1    =    -1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  1

                    x2 - 2x + 1x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-2)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-2)

Step-5 : Add up the four terms of step 4 :

                   (x+1)  •  (x-2)

            Which is the desired factorization

Anit [1.1K]3 years ago
5 0

Answer:

2x+8

Step-by-step explanation:

I actually did the math

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<u><em>NOTE: When solving absolute value inequalities, > or ≥ means OR, and < and ≤ means AND.</em></u>

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|2x - 3| > 7

Since the absolute value is isolated, we can now solve.

First, remove absolute value signs, then solve for x.

2x - 3 > 7

2x > 10

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Now, we have to solve again, but this time we flip the inequality sign and switch positive 7 to a negative 7, like so:

2x - 3 < -7

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Now, as stated above, since it's a greater than symbol it means OR.

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<u><em>For more information on solving absolute value inequalities:</em></u>

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What’s the absolute value of 8
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Step-by-step explanation:

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Carly solved a quadratic equation by completing the square, but her work has errors. Identify the first error in Carly's work.
Savatey [412]

Answer:

Her first error was adding the wrong number to both sides. Instead of 4², it should be 2²

Step-by-step explanation:

When completing the square, the number that needs to be added to both sides is (b/2)²

In this problem, b is 4. So, Carly should have added 2² to both sides, but she added 4² instead.

So, her first error was adding 4² to both sides instead of 2²

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What is the area of a triangle whose side is 17 meters long​
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Answer:

125.141

Step-by-step explanation:

Assuming that this is an equilateral triangle, I am going to divide this triangle in half to get a right triangle.

17 is our hypotenuse

17/2 = 8.5, this is one of our legs

The other leg is our height, which we will find.

We use Pythagoras Theorem to find the height/leg: a^{2} +b^{2} =c^{2}

17^{2} -8.5^{2} = 216.75

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