Answer:
1
Step-by-step explanation:
The given equation of the function is y = -a·(x - h)² + 1
The positive constants of the equation = <em>a</em>, and <em>h</em>
The points the function crosses the x-axis = 2, and 4
Where the function crosses the x-axis, y = 0, and x = 2, and 4, therefore, when x = 2, we have;
y = 0 = -a·(2 - h)² + 1
When x = 4, we have;
0 = -a·(4 - h)² + 1
-a·(2 - h)² + 1 = -a·(4 - h)² + 1
-a·(2 - h)² = -a·(4 - h)²
(2 - h)² = (4 - h)²
±(2 - h) = +#±(4 - h)
When
(2 - h) is negative, and (4 - h) is positive, but the same magnitude, we have';
-(2 - h) = +(4 - h)
2·h = 4 + 2 = 6
h = 3
0 = -a·(4 - h)² + 1 = -a·(4 - 3)² + 1 = -a + 1
Therefore, a = 1
For a year, 1750 students were able to donate to the school.
<h3>What is meant by percentage?</h3>
A % in mathematics is a quantity or ratio that is stated as a fraction of 100 (from the Latin per centum, "by a hundred"). Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent sign, "%," is frequently used to indicate it by % lacks dimensions and has no associated unit of measurement.
The Latin word per centum, which means "hundred" or "by the hundred," is where the word "percent" originates. The % calculator computes a variety of percentage-based numbers, such as the percentage difference between two provided values.
Given,
The annual salary of a football player is 210000
1 student ----------$120
x ------------$210000$
x=(210000/120)
x=1750 students
1750 students could send their donation to the school for 1 year.
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Answer: 68,719,476,736 different ways to answer the quiz.
Step-by-step explanation:
We have 20 questions.
4 of them, have two options (true and false)
and 16 of them have 4 options (a, b, c and d.)
The total number of different ways of answering this quiz is equal to the product of the number of options for each case, then we have:
Combinations = (2^4)*(4^16) = 68,719,476,736 different ways to answer the quiz.
<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
Since this is a logarithmic function, the domain is . But what is the domain of a function? The domain of a function is the set of inputs. This is so, because for any logarithmic function
, x must be greater than 0. So this function is continuous and has an x-intercept at 
, and y increases as x increases. Finally, its graph is shown below.
