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3 years ago

What is the simplest form of 2v3 V6 ? v2 v3

1 answer:

3 0

$2\sqrt{3}\cdot \sqrt{6}\implies 2\sqrt{3\cdot 6}\implies 2\sqrt{18}\implies 2\sqrt{3^2\cdot 2}\implies 2\cdot 3\sqrt{2}\implies 6\sqrt{2}$

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The domain and range of 5x squared plus 10x what is the domain and range of f of x equals 5x squared plus 10x

liberstina [14]

Answer:

Domain: set of all real numbers

Range: $y \geq -5$

Step-by-step explanation:

We have to find the domain and range of the function:

$f(x) =5x^2+10x$

This is a quadratic function, shape of a "U", that's called a parabola.

The domain is the set of x values for which the function is defined.

The range is the set of y values for which the function is defined.

Normally, any parabola in the form $ax^2+bx+c$ has domain as "all real numbers". This is the case for this problem as well, thus,

Domain = set of all real numbers

Now, for the range, we have to look at the minimum value of the function. So, the range would be y values greater than or equal to the minimum number. Lets find the minimum value of this function.

We have to find the value of x for which the minimum occurs by using the formula:

$x=\frac{-b}{2a} =\frac{-10}{2(5)} =-1$

<em><u>Note: value of a is "5" and b is "10"</u></em>

Now, we plug this into the function to find the minimum value:

$f(x)=5x^2+10x\\f(-1)=5(-1)^2 +10(-1)\\f(-1)=-5$

So, the range is set of all real numbers greater than or equal to -5.

8 0

3 years ago

Which product is greater than 63

igor_vitrenko [27]

3/2 x 63 is greater

4 0

3 years ago

A cone has A height of 10.3 inches in the diameter of 6 inches what is the volume of the cone

ahrayia [7]

Answer:

V=97.08

Step-by-step explanation:

The formula for the volume of a cone is V= 1/3 pi (r)^2 (h)

To find the radius divide the diameter by 2. 6/2=3

Plugin: V=1/3 pi(3)^2(10.3)=97.08

3 0

3 years ago

A scuba diver is exploring at an elevation of -12.2 meters. As the diver rises to the surface, she plans to stop and rest briefl

svlad2 [7]

Answer:

7.65 meters.

Step-by-step explanation:

Let x represent the distance that diver will travel.

We have been given that a scuba diver is exploring at an elevation of -12.2 meters. As the diver rises to the surface, she plans to stop and rest briefly at a reef that has an elevation of -4.55 meters. We are asked to find the distance that diver will travel.

The initial elevation plus x will be equal to -4.55 meters. We can represent our given information in an equation as:

$-12.2+x=-4.55$