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3 years ago

- A square rug has an area of 49x^2-56x+16.

Mathematics

1 answer:

CaHeK987 [17]3 years ago

8 0

(49x^2 - 56x + 16) - (16x^2 + 24x + 9)

49x^2 - 56x + 16 - 16x^2 - 24x - 9

33x^2 - 80x + 7

You could simply subtract the numbers as is, which I've shown above. Or, you may be able to factor first, then subtract.

Hope this helps!! :)

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Solve This Using The Quadratic Formula: 3x^2+9x-6=0

aivan3 [116]

<h3>Therefore either $x = \frac{-3+\sqrt{17}}{2}$ or, $x = \frac{-3-\sqrt{17}}{2}$ </h3>

Step-by-step explanation:

$3x^2 +9x -6=0$ $x = \frac{-b\pm\sqrt{b^2- 4ac} }{2a}$

$\Leftrightarrow x = \frac{-9\pm\sqrt{9^2- 4.3(-6)} }{2.3}$ here a = 3 ,b = 9 and c= -6

$\Leftrightarrow x = \frac{-9\pm\sqrt{153} }{6}$

$\Leftrightarrow x = \frac{3(-3\pm\sqrt{17}) }{6}$

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Therefore either $x = \frac{-3+\sqrt{17}}{2}$ or, $x = \frac{-3-\sqrt{17}}{2}$

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3 years ago

Mrs. Benson has graded 46 math assignments but has 80% of the assignments left to grade. Mrs. Benson has how many math assignmen

timofeeve [1]

Mrs. Benson has 184 math assignments left to grade.

<u>Step-by-step explanation:</u>

Here we have , Mrs. Benson has graded 46 math assignments but has 80% of the assignments left to grade.We need to find Mrs. Benson has how many math assignments left to grade. Let's find out:

Let total Number of math assignments be x , So According to question 46 math assignments are graded & 80% are left i.e.

⇒ $x = 46+\frac{80x}{100}$

⇒ $x -\frac{80x}{100}= 46$

⇒ $\frac{100x-80x}{100}= 46$

⇒ $\frac{20x}{100}= 46$

⇒ $\frac{x}{5}= 46$

⇒ $x=230$

Now , Assignments left to grade is :

⇒ $230-46$

⇒ $184$

Therefore , Mrs. Benson has 184 math assignments left to grade.

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3 years ago