Maggie just read that her computer, which costs $1,500 new, loses 20% of its value every

Mathematics

1 answer:

ira [324]3 years ago

4 0

Answer:

491.52

Step-by-step explanation:

1500×.80×.80×.80×.80×.80=491.52

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Prove that 2x^2+x+8>0 for all real values of x.

Alexus [3.1K]

$y = 2x^2 + x + 8$ is a polynomial of even degree, with a positive $x^2$ coefficient, meaning that
- it will have exactly one turning point
- that turning point will be a minimum

So, if the y-coordinate of the turning point is positive, then this polynomial will be positive for all real values of x.

At a turning point, the gradient of y will be equal to 0. The gradient of y is given by
$\frac{\mathrm{d}y}{\mathrm{d}x} = 4x + 1$ .

To find the turning point, set this equal to 0 and solve for x:
$4x + 1 = 0 \implies x = -\frac{1}{4}$ .

Substituting this value into the equation gives
$y = 2(-\frac{1}{4})^2 + (-\frac{1}{4}) + 8 = \frac{1}{4} - \frac{1}{4} + 8 = 8 \ \textgreater \ 0$ .

Since the minimum point of the equation is greater than 0, the equation will be greater than 0 for all real values of x.

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4 years ago

Urgent!! Does anyone know how to solve this?

luda_lava [24]

Answer:34/45

Step-by-step explanation:

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3 years ago

Which is bigger, three fourth of 28 or two fourth of 28?

ExtremeBDS [4]

Well they’re the same number, so three fourths of 28 is bigger than two fourths of 28

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3 years ago

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Please help!!!! question is/.........

Andrew [12]

Area of circle = 3.14 x 6^2 = 3.14 x 36 = 113.04

1/2 circle = 113.04 / 2 = 56.52

Area of rectangle = 8 x 6 = 48

Area of figure = 48 + 56.52 = 104.52

answer
104.52 ft^2

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4 years ago

The average of four different positive integers is 9. What is the greatest value for one of the integers?

nekit [7.7K]

Answer:

Step-by-step explanation:

<u>Sum of those 4 integers is:</u>

4*9 = 36

<u>If the smallest ones are 1, 2 and 3, then the greatest possible integer is:</u>

36 - (1 + 2 + 3) = 30

3 0

3 years ago