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2 years ago

Solve this quadratic inequalitie with detailed full explanation

Mathematics

2 answers:

ANTONII [103]2 years ago

7 0

$x^2\leq16\\x\leq 4 \wedge x\geq -4\\x\in\langle-4,4\rangle$

different approach:

$x^2\leq16\\x^2-16\leq0\\(x-4)(x+4)\leq0$

see attachment

$x\in\langle-4,4\rangle$

Blizzard [7]2 years ago

5 0

$~~~~~~x^2 \leq 16\\\\\implies -\sqrt{16} \leq x\leq \sqrt{16}\\\\\implies -4\leq x \leq 4\\\\\text{Interval notation:}~ [-4,4]$

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I think it is 3.5

Step-by-step explanation:

8.5:250*100 =

(8.5*100):250 =

850:250 = 3.4

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2 years ago

The cost of printing a catalog of the products that your company distributes is a flat rate of $52 plus $0.20 per copy. Let C re

yanalaym [24]

Given:
Cost of printing a catalog: flat rate of $52 and $0.20 per copy.

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C is the total cost of printing x number of copies.

x = 500
C = 52 + 0.20(500) = 52 + 100 = 152

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3 years ago

Read 2 more answers

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icang [17]

Answer:

0.75 And 75%

Step-by-step explanation:

If 3/4 came then 25, 50, 75, 100 what is the 3rd number of of those 4

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2 years ago

The gravitational potential energy of an object is

Alchen [17]

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7 0

2 years ago

Please help

user100 [1]

Answer:

Length of garden will be 30 metres.

Step-by-step explanation:

Let the Width of garden be x metres.

then,

Length of garden will be (x+6) metres.

Area = Length × Breadth

720 = x X (c+6)

720 = x²+6x

0 = x²+6x-720

As we can see above equation is a quadratic equation in the form of ax²+bx+C.

so,

$= \frac{ - b ± \sqrt{{b}^{2} - 4ac} }{2a} \\ = \frac{ - 6 ± \sqrt{{6}^{2} - 4 \times 1 \times - 720} }{2} \\ = \frac{ - 6 ± \sqrt{36 + 2880} }{2} \\ = \frac{ - 6 ± \sqrt{2916} }{2} \\ = \frac{ - 6 ± 54}{2}\\= \frac{-6+54}{2} ... \frac{ - 6 - 54}{2} \\ = \frac{48}{2} ... \frac{ - 60}{2} \\ = 24... - 30$

One of the Roots of the Quadratic equation is 24 and other is -30.

And as we know width of any garden cannot be negative so the width of garden will be 24 metres.

As we got the width,

adding 6 to it will give us the Length,

So,

24 metres + 6 = 30 metres.

Length of the garden is 30 metres.

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8 0

3 years ago