(w-2)^2 = 63
FOIL left hand side:
(w-2)^2 = w^2 - 4w + 4
So,
w^2 - 4w + 4 = 63
w^2 - 4w - 59 = 0
Then use quadratic equation to get values of w = 2 + 3*root(7) and w = 2 - 3*root(7).
±
3
√
7
Answer:
The expression that comes after solving the two linear equation is independent of variables So , The system of equations has <u>no solutions </u>
Step-by-step explanation:
Given two linear equations as :
2 y - 4 x = 6 .......1
y - 2 x = 7
Or, y = 2 x + 7 .......2
Now, Solving these two equations
Put the value of y from eq 2 into eq1
So, 2 y - 4 x = 6
∴ 2 × (2 x + 7) - 4 x = 6
Or, 4 x + 14 - 4 x = 6
or, (4 x - 4 x) = 6 - 14
i.e 0 = - 8
∵ The expression that comes after solving the two linear equation is independent of variables So , The system of equations has no solutions Answer
According to the question, to express the rational function for the vertical asymptote whose equation is
and horizontal asymptote whose equation is at 
As per the question, the function 'f(x)' is vertical at
. Therefore, the denominator be 

The function 'g(x)' should have same degree as the denominator function has and it is defined as
The rational function can be written as:
Rational function = 
What is rational function?
Rational function is a function whose numerator and denominator terms are in polynomials. Basically, it is a ratio of polynomials. The important condition for these type of function is that denominator should be of degree one.
To learn more about rational function from the given link:
<u>brainly.com/question/19044037</u>
#SPJ4
Answer:
the angle abc is 180 degrees
Answer:
Mean = 0, Standard deviation = 1
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 77.5 beats per minute
Standard Deviation, σ = 11.6 beats per minute
We are given that the distribution of pulse rates of women is a bell shaped distribution that is a normal distribution.
Formula:

Putting the values, we get,

After, the standardization, that is conversion of all pulse rates of women to z scores, the mean of the distribution is 0 and standard deviation is 1.
Mean = 0, Standard deviation = 1