Let <em>A</em> be your age, <em>B</em> be the age of your brother and <em>S</em> be the age of your sister.
Since your brother is 1/4 your age, then:
Since your sister is 8 years older than your brother, then:
Since your sister is 12 years old, then:
Use the second equation to find your brother's age by plugging in <em>S=12</em>:
Plug in <em>B=4</em> in the first equation to find your age:
Therefore, you are 16 years old.
Answer:
B) h(x) = -1/4(x - 6)(x + 3)
Step-by-step explanation:
Zeros of a function:
Given a polynomial f(x), this polynomial has roots such that it can be written as:
, in which a is the leading coefficient.
In this question:
Concave down, so , which excludes options c and d.
Roots at x = 6 and x = -3. So
So option B.
A geometric sequence such that ...
We can use the ratio of the given terms to find the common ratio of the sequence, then use that to find the desired term from one of the given terms. We don't actually need the common ratio (-2). All we need is its cube (-8).
Answer:
The graph in the attached figure
see the explanation
Step-by-step explanation:
Let
x----> the time in hours
y ----> liters of water remaining in the fish pond
we have
This is the equation of a line in slope intercept form
where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem we have
The slope or unit rate is equal to
----> is negative because is a decreasing function
The y-intercept or initial value is
The graph in the attached figure
Remember that
The y-intercept is the value of y when the value of x is equal to zero
The y-intercept is the point (0,480)
That means----> The initial amount of liters of water in the fish pond was 480 liters before drainage began (for x=0 hours).
The x-intercept is the value of x when the value of y is equal to zero
The x-intercept is the point (8,0)
That means----> The time required to empty the fish pond is 8 hours (for y=0 liters)
