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ANTONII [103]
3 years ago
11

What is the simplest form of

Mathematics
1 answer:
steposvetlana [31]3 years ago
4 0

Answer:

The simplest form of \sqrt[3]{27a^{3}b^{7}} is

3ab²(∛b)

Step-by-step explanation:

The given term is:

\sqrt[3]{27a^{3}b^{7}}

To convert it into its simplest form, we will apply simple mathematical rules to simplify the power of individual terms.

\sqrt[3]{27a^{3}b^{7}}\\= \sqrt[3]{3^{3} a^{3}b^{7}}\\= \sqrt[3]{3^{3}a^{3}b^{6}b}\\= 3^{3/3} a^{3/3}b^{6/3}b^{1/3}}\\= 3ab^{2}(\sqrt[3]{b})

While simplifying the term, we basically took the cube root of individual terms. The powers cancelled out cube root for some terms. In the end, we were left with the simplest form of the expression.

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Find the next three terms of the geometric sequence -8, 12, -18,27
Pie

Answer:

-40.5, 60.75, -91.125

Step-by-step explanation:

first you want to find the common difference. So just divide 12 by -8, which is -1.5 and then multiply 27 by -1.5, which is -40.5 and continue two more times.

3 0
4 years ago
Why did the Vietnam vets feel alienated when they came home from war
Marrrta [24]

Answer:

Because they were suffering form PTSD and questioning their identity.

6 0
4 years ago
Which statements about the graph of the function f(x) = –x2 – 4x + 2 are true? Check all that apply. The domain is {x|x ≤ –2}. T
Leto [7]
The graph of the function f(x) =-x^2-4x + 2 is parabola with branches going down in the negative direction of y-axis. 
The vertex of parabola has coordinates:

x_v=\dfrac{-(-4)}{2\cdot(-1)}=-2, \\ y_v=-(-2)^2-4\cdot (-2)+2=-4+8+2=6

Then you can conclude that all x are possible, that means that the dimain is x\in (-\infty,\infty) and the maximum value of y is at the vertex, then the range is (-\infty,6].The function is increasing for x<-2 and decreasing for x>-2 (since vertex is the maximum point).
When x=0, y=2. 
Hence,
<span>The domain is {x|x ≤ –2} - false.
</span>
<span>The range is {y|y ≤ 6} - true.
</span>
<span>The function is increasing over the interval (–∞ , –2) - true.
</span>
<span>The function is decreasing over the interval (−4, ∞) - false.
</span>
<span>The function has a positive y-intercept - true.</span>









8 0
3 years ago
Read 2 more answers
What is the difference between a centroid, orthocenter, and a circumcenter?
Lisa [10]

Answer:

Take an example in a triangle:

The orthocenter is the intersection point of 3 altitudes.

The centroid is the intersection point of 3 medians.

The circumcenter is the intersection point of 3 bisectors.

Centroid, orthocenter, and circumcenter are collinear.

Hope this helps!

:)

4 0
3 years ago
Don’t understand this need help asp!!
alisha [4.7K]

Answer:

so slope= rise over run so that would be 26/8 please mark me as brainliest

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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