Geometric sequences are mostly found in Book IX of Elements by Euclid in 300 B.C. Euclid of Alexandria, a Greek mathematician also considered the "Father of Geometry" was the main contributor of this theory. Geometric sequences and series are one of the easiest examples of infinite series with finite sums. Geometric sequences and series have played an important role in the early development of calculus, and have continued to be a main case of study in convergence of series. Geometric sequences and series are used a lot in mathematics, and they are very important in physics, engineering, biology, economics, computer science, queuing theory, and finance.<span> It was included in Euclid's book </span>Elements<span> that was part of a composition of other math theories for people that became very popular because it was the first collection that showed alot of the main math theories together featured simply.</span>
The y-intercept of the quadratic equation is -47.
<h3>What is Quadratic Equation?</h3>
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
Here, given quadratic equation;
f(i) = i² + 10i - 22
or, y = i² + 10i - 22
y = i² + 2.5x - (47-25)
y = i² + 2.5x + 25 - 47
y = (i+5)² - 47
Thus, the y-intercept of the quadratic equation is -47.
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384 pages (0.75) = 288 pages
Add this to the original amount of pages.
384 + 288 = 672 total pages.
Answer:
Step-by-step explanation:
0.15
Step-by-step explanation:
1 - P winning - P losing = P drawing
1 - 0.3 - 0.55 = 0.15
Answer:
There are no extraneous solutions
Reasoning:
An extraneous solution is a solution that isn't valid, it might be imaginary like the square root of a negative number.
first we want to isolate z:
1+sqrt(z)=sqrt(z+5)
^2 all ^2 all
(1+sqrt(z))(1+sqrt(z))=z+5
expand
1+2sqrt(z)+z=z+5
-1 -z -z -1
2sqrt(z)=4
/2 /2
sqrt(z)=2
^2 all ^2 all
z=4
Since there is one solution and it is a real number, there are no extraneous solutions.
