Answer:
0.25feet
Step-by-step explanation:
The equation is not well written. Let the equation of the height be modelled as;
h = -16d²+8d+4
The velocity of the ball is zero at its maximum height.
Velocity = change in displacement/time
v = dh/dd
Differentiate
v = -32d+8
Since dh/dd = v = 0
0 = -32d+8
Add 32d to both sides
0+32d = 8
32d = 8
Divide both sides by 32
32d/32 = 8/32
d = 1/4
d = 0.25feet
Hence the maximum height of the tennis ball is 0.25feet
Note that the modeled equation was assumed. You can apply the same calculation to any equation given
Answer:
Domain: x ≥ 0
Range: All real numbers
Step-by-step explanation:
This is an absolute value function which creates a V for its graph. Since the absolute value is on y, the function is rotated to the right or sideways.
This means only the x values of 0 and greater are used in the function. Since the domain is the set of all x values then it is x≥0.
This also means that all y values are used on the y-axis. There is no restriction on the y values. Since the range is the set of all y values then it is all real numbers.
Since the price is increasing by percentage, rather than a constant rate, we will be using the exponential equation format, which is y=ab^x (a = initial value, b = growth/decay)
Since the value was $590 in the year 2000, 590 will be our a variable.
Since the value is *increasing* by 35%, add 1 and 0.35 (35% in decimal form) together to get 1.35. 1.35 is going to be your b variable.
Putting our equation together, our equation is f(x) = 590(1.35)^x
Answer:
Step-by-step explanation:
first multiply 1 with 2+5i then multiply 2i with 2+5i and you will get
2+5i+4i+10i^2
then in the next step add 4i and 5i you will get 9i
in the next step put i^2=-1 and you will get -10
in the last step just substract 2-10 you will get -8 and 9i
and your answer will be -8+9i
