The slope of the graph shows the rate of change, or, in this case, the rate of depreciation, which you are told is $100 per year. So, depending upon the units used in your graph, the slope will be 100/1, and since it is a decrease as the years increase, it will have a negative slope, i.e. -100/1.
Or, if you had drawn your graph with units of $100 dollars on the y-axis, then you might say that the slope was -1 / 1.
The corresponding formula would of course be
y = 600 - 100t
where y = value after t years, and (if you are into calculus) differentiating would give you
slope = dy/dt = -100
<span>as noted above.</span>
We want to replace x with 2x in the original equation
g(2x) = 3(2x) -5
We can multiply 3 and 2x to simplify this, which will give us 6x
g(2x) = 6x - 5
Answer:
Eccentricity = 5/6
Type of conic section; Ellipse
Directrix; x = -11/5
Step-by-step explanation:
The first step would be to write the polar equation of the conic section in standard form by multiplying the numerator and denominator by 1/6;
The polar equation of the conic section is now in standard form;
The eccentricity is given by the coefficient of cos theta in which case this would be the value 5/6. Therefore, the eccentricity of this conic section is 5/6.
The eccentricity is clearly between 0 and 1, implying that the conic section is an Ellipse.
Since the conic section is in standard form, the numerator is the product of eccentricity and the value of the directrix, that is;
e*d = 11/6
5/6*d = 11/6
d = 11/5
Since the denominator has a minus sign then the ellipse opens towards the right and thus the equation of its directrix is;
x = -11/5
Answer: There are 1000 different passwords.
Step-by-step explanation:
Given: A password contains three digits.
Number of digits from 0 to 9 = 10
Using fundamental principle of counting,
The number of different passwords = (Number of choices for digits) x (Number of choices for digits) x (Number of choices for digits)
= (10) x (10)x (10)
=1000
Hence, there are 1000 different passwords.
