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EastWind [94]
3 years ago
10

Simplify the following expression(x+y)²​

Mathematics
1 answer:
MrMuchimi3 years ago
8 0

Answer:

{x}^{2}  + 2xy +  {y}^{2}

Step-by-step explanation:

1) Use square sum: (a + b)² = a² + 2ab + b².

{x}^{2}  + 2xy + y^{2}

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u>²</u><u> </u><u>+</u><u> </u><u>2xy</u><u> </u><u>+</u><u> </u><u>y</u><u>²</u>.

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Find the minimum and maximum values for the function with the given domain interval.
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Step-by-step explanation:

e^(x+h) is always larger than e^x.

so the minimum function value in that interval is e⁴.

and the maximum function value in that interval is e⁶.

e⁴ = 54.59815003... ≈ 54.60

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Step-by-step explanation:

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3 years ago
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V125BC [204]

Answer:

\boxed {\boxed {\sf x=2}}

Step-by-step explanation:

The axis of symmetry can be calculated using the formula:

x=\frac{-b}{2a}

First we must determine a and b from the quadratic: -x^2+4x-8. This is in standard form, with the highest power first in descending order.

Standard form is also: ax^2+bx+c

If we compare this to the quadratic given, we can conclude that:

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Substitute the values for a and b into the formula.

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Multiply in the denominator.

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Divide.

x=2

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3 years ago
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Where did the 9 and 2 come from
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Extrapolation is the process by which a value is estimated by using a previously known set of numbers. Interpolation is where a value is estimated between two known values. In this case, if you wanted to predict the value of the y-variable when the x-variable is 15, you would be extrapolating beyond the known data-set. 
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