The resulting equation has a leading degree of 2, hence the system of equation will have 2 solutions
<h3>Quadratic equations</h3>
Quadratic equations are equations that has a leading degree of 2. Given the following system of equations
y=2x
y=x^2+2
Equate to have:
2x = x^2+ 2
Equate to zero
x^2 - 2x +2 = 0
Since the resulting equation has a leading degree of 2, hence the system of equation will have 2 solutions
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Answer:
Answer for the question:
The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 69 and standard deviation 2.7.
a. If a specimen is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosen specimen has an acceptable hardness?
b. If the acceptable range of hardness is (69-C, 69+C), for what value of C would 95% of all specimens have acceptable hardness?
c. If the acceptable range is as in part (a) and the hardness of each of ten randomly selected specimens is independently determined, what is the expected number of acceptable specimens among the ten?
d. What is the probability that at most eight of ten independently selected specimens have a hardness of less than 72.84(HINT Y=number among the ten specimens with hardness less than72.84 is a binomial variable; what is p?)
is given in the attachment.
Step-by-step explanation:
Answer:
y = 
(x - 5)² - 2
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (5, - 2), thus
y = a(x - 5)² - 2
To find a substitute (7, 0) into the equation
0 = a(7 - 5)² - 2
0 = 4a - 2 ( add 2 to both sides )
2 = 4a ( divide both sides by 4 )
a = 
=
y = (x - 5)² - 2 ← in vertex form
The concept of historical cost in accounting involves valuing business resources at their purchase price. This is further explained below.
<h3>What is the historical cost?</h3>
Generally, historical cost is a value of measure used in accounting that records the value of an asset on the balance sheet at its original cost when purchased by the firm.
In conclusion, valuing business resources at their purchase price is what historical cost is about.
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Answer:
1 / 8², B
Step-by-step explanation:
8 / 8³
8³ = 8*8*8
So, the equation can also be written as:
8 / 8*8*8
divide the numerator and denominator by 8.
1 / 8*8
This is equal to:
1 / 8²
The answer is B.
