Answer:
A. y = 80x
B. g(x) = 80x
C. To graph the equation, plot a point at (0,0) and a point at (1,80). Connect the points. Continue adding points by moving up $80 and over 1 day.
Step-by-step explanation:
Part A:
To write an equation, use y= mx where m is the slope, x is the number of days, and y is the rent cost.
x and y remain the same in the equation.
To find m, use the slope formula with (5,465) and (7, 625).
It costs $80 a day.
The equation is y = 80x.
Part B:
Function notation replaces Y as g(x). So the equation is g(x) = 80x.
Part C:
To graph the equation, plot a point at (0,0) and a point at (1,80). Connect the points. Continue adding points by moving up $80 and over 1 day.
For
y = (x^2 -4)/((x +2)(x^2 -49))
the numerator factors to (x -2)(x +2), so the factor of (x +2) will cancel with that in the denominator, leaving
y = (x -2)/(x^2 -49)
There are points of discontinuity at the hole, x=-2, and at each of the vertical asymptotes, at x=-7, +7.
The horizontal asymptote is y=0.
Answer:
me and my teacher say yes
We have that
y = 2(0.45)^x
in this problem
2-----------> is the Coefficient
0.45-------> is the Base
<span>x-----------> is the Exponent
we know that
</span><span>If
the base is less than 1 (but always greater than 0), the function will be
exponential decay
</span>It is decay because as x values
increase, y values decrease.
<span>0.45 < 1 and 0.45 > 0
therefore
the equation
</span>y = 2(0.45)^x
represents <span>exponential
decay
</span>
the answer is
exponential decay<span>
</span>
It is given in the question that
Ms. Velez will use both x gray bricks and y red bricks to build a wall around her garden. Gray bricks cost $0.45 each and red bricks cost $0.58 each. She can spend up to $200 on her project, and wants the number of red bricks to be less than half the number of gray bricks.
Maximum she can spend is $200. That is
And
And that's the required inequalities .