You are given the information that he takes six lessons per week. First we will calculate the total lessons he could potentially take per year.
6 • 52 = 312
He could potentially take 312 lessons in one year.
Now that you know this information, you simply subtract the days he missed from that total.
312 - 5 = 307
Your final answer: Peter took 307 lessons during the year.
The answer is 122 for the final angle
Answer:
i) Equation can have exactly 2 zeroes.
ii) Both the zeroes will be real and distinctive.
Step-by-step explanation:
is the given equation.
It is of the form of quadratic equation and highest degree of the polynomial is 2.
Now, FUNDAMENTAL THEOREM OF ALGEBRA
If P(x) is a polynomial of degree n ≥ 1, then P(x) = 0 has exactly n roots, including multiple and complex roots.
So, the equation can have exact 2 zeroes (roots).
Also, find discriminant D =
⇒ D = 37
Here, since D > 0, So both the roots will be real and distinctive.
Using the asymptote concept, it is found that:
- The vertical asymptote is of x = 25.
- The horizontal asymptote is of y = 5.
- Considering the horizontal asymptote, it is found that the end behavior of the function is that it tends to y = 5 to the left and to the right of the graph.
<h3>What are the asymptotes of a function f(x)?</h3>
- The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
- The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.
In this problem, the function is:
Considering the denominator, the vertical asymptote is:
x - 25 = 0 -> x = 25.
The horizontal asymptote is found as follows:
Hence the end behavior of the function is that it tends to y = 5 to the left and to the right of the graph.
More can be learned about asymptotes and end behavior at brainly.com/question/28037814
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Answer:
d = 22 - x / 25
Step-by-step explanation:
The first thing is to calculate the tank capacity, we know that per gallon 25 miles are traveled and at 500 miles there were still two gallons, therefore:
500 miles / 25 miles / gallon = 20
and how there were still 2
20 + 2 = 22
the tank has a 22 gallon capacity
Therefore the equation would be:
d = 22 - x / 25
where x is the number of miles traveled.
for example, if they have traveled 500 miles it would be:
d = 22 - 500/25 = 22 - 20
d = 2 gallons
we can verify that it is correct because it is what the statement says