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Greeley [361]
2 years ago
6

Simplify, assume the variable represents a positive real number

Mathematics
1 answer:
kotykmax [81]2 years ago
5 0

The simplification of the given expression \sqrt{18y^{21} will be equal to 3\sqrt{2} (y)^{\dfrac{21}{2}}

<h3>What is simplification?</h3>

The process of reducing the complex mathematical expressions into the simplest form is called as the simplification.

The simplification of the given expression will be:

=\sqrt{18y^{21}}\\\\\\=(18)^{\frac{1}{2} } \times (y)^{\frac{21}{2}}\\\\\\=3\sqrt{2}\times y^{\frac{21}{2}}

hence  the simplification of the given expression \sqrt{18y^{21} will be equal to 3\sqrt{2} (y)^{\dfrac{21}{2}}

To know more about Simplification follow

brainly.com/question/723406

#SPJ1

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Select the ordered pairs that represent solutions to the system of inequalities.Select all that applyAnswer choices:(-6, 3)(-3,
Nadya [2.5K]

We can verify this with the graph

(-6, 3) NO

(-3, 3) NO

(-5, 0) NO

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(0,0) NO

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(-4.0) YES

the area where the solutions are in the yellow area

5 0
1 year ago
Which is a true statement?
Murljashka [212]
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HOPE THIS HELPS:)

7 0
3 years ago
Let f(x)=x^3-x-1
alexira [117]
f(x) = x^3 - x - 1

To find the gradient of the tangent, we must first differentiate the function.

f'(x) = \frac{d}{dx}(x^3 - x - 1) = 3x^2 - 1

The gradient at x = 0 is given by evaluating f'(0).

f'(0) = 3(0)^2 - 1 = -1

The derivative of the function at this point is negative, which tells us <em>the function is decreasing at that point</em>.

The tangent to the line is a straight line, so we will have a linear equation of the form y = mx + c. We know the gradient, m, is equal to -1, so

y = -x + c

Now we need to substitute a point on the tangent into this equation to find c. We know a point when x = 0 lies on here. To find the y-coordinate of this point we need to evaluate f(0).

f(0) = (0)^3 - (0) - 1 = -1

So the point (0, -1) lies on the tangent. Substituting into the tangent equation:

y = -x + c \\\\ -1 = -(0) + c \\\\ -1 = c \\\\ \text{Equation of tangent is } \boxed{y = -x - 1}
6 0
3 years ago
What is the equation of the line in slope intercept form form
Tamiku [17]
Those points you can see on the graph.
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When the line intercepts one of the axis, means the other coordinate is = 0.
3 is y intercept, it means the x value of that point is 0. The same happens to the x intercept - 5. It means the y value of that point is 0.

A ( -5 | 0 )
B ( 0 | 3 )

m = Delta y / Delta x.
Delta y is the variation over the x-axis. Delta x, the x axis.


Be safe!

5 0
3 years ago
Who knows how to do area? plz help
lesya [120]
The answer is D) 15 square units for the formula of a parallelogram is length times height, the way I solved it was I graphed to get a visual and understand , I see that the height is 3 and the length is 5 so 3•5 is 15
( feel free to ask follow up questions)
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