Answer:
- The coordinates of the point p are:
Explanation:
1. Name the angle of inclination of the line joining p to the origin α.
2. Find the relation between the coordinates of the point (x,y)
When you draw a line from the origin to the parabola, the intersection point, p(x,y) will have coordinates (x,y).
As per the definition of the tangent trigonometric ratio you have:
From which you can clear y:
Which is the expression of the coordinates of p as a function of the angle of inclination of the line joining p to the origin.
By definition we have that the average rate of change of the function is given by:
Substituting values we have:
Rewriting we have:
Answer:
If x represents time, the average rate of change of the function f(x) in the first two seconds is 25.
Step-by-step explanation:
So the general formula for compound interest is 
where t is typically time in years, and n is how many times it's compounded per year. But in this case it's only compounded 1 time per year so the equation is just 
. in this case P is the principal amount, r is the interest, and A is the final amount. So the 5% interest rate becomes 0.05 by dividing by 100 to convert it into decimal form and the principle amount of 11,000. This gives you the formula 
. This is the answer to the first question where t is the time in years. When it says "Find interest earned" I'm a bit confused, is it giving you x amount of years where you have to calculate the interest earned or does it want a general equation? Because the general equation would be the final amount - the principle amount which calculates the difference. So the equation for interest earned would be 
. To calculate the amount of money after 5 years you simply plug in 5 as t. this gives you the equation 
Part A: The coefficients (numbers) are 75 and 25, while the variables (letters) are x and y.
Part B: There are two terms, meaning that this expression is a <em>binomial</em>. The two terms are <em>75x</em> & <em>25y</em>
Part C: The term in the expression that shows the total earned from pizzeria is 75x, which, when simplified, will give you the pizzeria term.
hope this helps
Answer:
Step-by-step explanation:
using distance formula:
distance between two points =
=whole root of (-2+5)^2+2^2
=whole root of 3^2+2^2
=whole root of 9+4
=
units =3.60555... #answerwithquality #BAL
