Answer: √20
Step-by-step explanation:
4.47213595 (the 5 repeats)
F(x)=3x2-11
f(5)=6-11
5f=-5
5f/5=-5/5
f=-1
From the two right triangles, you can write the following equations using the Pythagorean theorem. Let's call that shared leg in the middle "y"
y^2 + b^2 = a^2
y^2 + c^2 = x^2
y^2 + b^2 = a^2
re-write this to get "y" alone for substitution.
y^2 = a^2 - b^2
substitute (a^2 - b^2) for y^2 in the other equation. y^2 + c^2 = x^2
a^2 - b^2 + c^2 = x^2
Now put in the values given for a,b,c to solve for x
(7.1)^2 - (5.6)^2 + (5.7)^2 = x^2
51.54 = x^2
square root
7.2 = x
Using exponents x * x is written as 
<h3>What is exponents?</h3>
Exponents in mathematics is a term that refers to the powers in which a number is raised. Usually the number representing the exponents is usually written upwards in lower font to the left-hand side of the main number or value.
<h3>solving the problem</h3>
x . x is same as x multiplied by x
therefore x . x = x * x
since the x is two the product is written as
. where the two shows how many times x appeared.
Read more on exponents here: brainly.com/question/11975096
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We have that
f(x) = (x – 5)³(x + 2)²
we know that
<span>the roots can touch or cross the x axis
</span>The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.
(x - 5)³ has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.
(x + 2)² has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.
therefore
the answer is<span>
the graph of f(x) touch the x axis for the root x=-2
</span>
see the attached figure