Hello!
To find the domain of the function h(x), we need to find the values of x where it is undefined.
We can begin by factoring the denominator of the rational function, h(x).
h(x) = 1/(3x² - 15x) (factor 3x from the binomial)
h(x) = 1/3x(x - 5)
After factoring the denominator, apply the zero product property.
3x = 0 (divide both sides by 3)
x = 0
x - 5 = 0 (add 5 to both sides)
x = 5
The values of 0 and 5 cause h(x) to be undefined. The function h(x) comes from negative infinity to zero, where there is an asymptote. Also, from zero to five, there is also an asymptote. Finally, the function h(x) also goes to infinity from five.
So therefore, the domain of the function h(x) is: (-∞, 0) ∪ (0, 5) ∪ (5, ∞).
Answer:
1348 light years.
Step-by-step explanation:
Please find the attachment.
Let x represent the distance between KA-7 and KA-11.
We have been given that the first system, KA-7, is 1200 light years away while the second system, KA-11, is 1700 light years away. Lucy sees an angle of 52 degrees between KA-7 and KA-11.
We can see from our attachment that Lucy, KA-7 and KA-11 forms a triangle and we will use law of cosines to solve for x.
Upon substituting our given values in above formula we will get,
Let us take square root of both sides of our equation.
Therefore, KA-7 and KA-11 are approximately 1348 light years apart.
Answer:
x ≅ 20.10 torr
Step-by-step explanation:
Given that the equation which models blood pH in the question is;
pH(x)=6.1+log(800/x)
where;
pH = 7.7
x = partial pressure of carbon dioxide in arterial blood, measured in torr.
we are asked to find (x)
In order to do that, we use the given equation:
pH(x)=6.1+log(800/x)
since pH = 7.7
7.7 = 6.1 + log (800/x)
7.7 - 6.1 = log (800/x)
1.6 = log (800/x)
x = 20.09509145
x ≅ 20.10 torr
The number 12,300 is written 1.23 x 10⁴ as a scientific notation. It's coefficient is 1.23; base is 10⁴ in exponent form.
Scientific notation is a method developed by scientists to shorten the number that expresses a very large number. The scientific notation is based on powers of the base number 10.
Scientific notation has two numbers: coefficient and base. The coefficient must be greater than or equal to 1 and less than 10. The base is always 10 written in exponent form.
12,300 as coefficient in standard form in scientific notation.
1) put decimal after the first digit and drop the zeros. from 12,300 to 1.23 this is the coefficient.
2) to find the exponent, count the number of places from decimal to the end of the number.
1.2300 ; there are 4 places
So the scientific notation is 1.23 x 10⁴
Means, for every 1 input, there is 1 coresponding output
normally x is input and y is output in form (x,y)
so just look for the option(s) that has/have every first number repeat with only 1 2nd number
A. -7 repeats with 5 and -3, not a function
B. no repeats of first number (6,-8) and (-5,-8) are fine because first numbers don't repeat, das is funciton
C. no repeats, function
D. no repeats, function
answer is B,C,D
