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avanturin [10]
2 years ago
7

Write the algebraic expression to represent "Eight more than a number".

Mathematics
1 answer:
fenix001 [56]2 years ago
6 0

Answer:

8<x

Step-by-step explanation:

Allagater eats the bigger number

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If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2<br> Express answer as a common fraction.<br> Thanks!!
timama [110]

x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0

By the quadratic formula,

x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2

Then

(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2

\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}

Multiply numerator and denominator by the denominator's conjugate:

\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15

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3 years ago
A bag contains 5 green marbles and 8 blue marbles. A dice is rolled, then a marble is chosen at random from the bag .
kolezko [41]
What is the question?
3 0
3 years ago
What is an equivalent expression for 7times plus 56.
krok68 [10]
<em>t would be 8 if you are multiplying .</em>
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HURRY PLZZ !! Which of the following best forms the figure shown
UkoKoshka [18]

Answer:

2 line segments that meet an endpoint, mate

Step-by-step explanation:

5 0
3 years ago
Which points are on a graph where y varies directly with x and y = 3 when x = -3
kondor19780726 [428]

A coordinate system is a method of determining the position of points or other geometric components on a manifold. The points which vary are on a graph where y varies directly with x are (-1, 1), (0, 0), and (-5, 5).

<h3>What are coordinates?</h3>

A coordinate system is a method of determining the position of points or other geometric components on a manifold, such as Euclidean space, by using one or more integers, or coordinates.

Given that y varies directly with x, therefore, we can write,

y∝x

y = kx

Also, y=3 and x=-3, therefore, the value of k can be written as,

3=k(-3)

k=-1

Now, the points which vary are on a graph where y varies directly with x are (-1, 1), (0, 0), and (-5, 5).

Learn more about Coordinates:

brainly.com/question/23450276

#SPJ1

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2 years ago
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