A certain population has 1,000 people in it. Which of the following numbers would be an appropriate number for a random sample?
1 answer:
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The functions will be defined as y = x² if 0 ≤ x < 3, y = -x + 10 if 3 < x ≤ 6, and y = x + 2 if 6 ≤ x ≤ 10.
<h3>What is a function?</h3>A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The graph is given below.
The function can be defined as
The parabolic equation will be
f(x) = x²
The equation of the absolute function will be
f(x) = |x - 6| + 4
Then we have
More about the function link is given below.
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Answer:
4x + 9y = - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
9x - 4y = - 5 ( subtract 9x from both sides )
- 4y = - 9x - 5 ( divide terms by - 4 )
y = x +
← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
, then
y = - x + c ← is the partial equation
To find c substitute (- 9, 3 ) into the partial equation
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = - x - 1 ( multiply through by 9 to clear the fraction )
9y = - 4x - 9 ( add 4x to both sides )
4x + 9y = - 9 ← equation in standard form