Answer:
a) 13 m/s
b) (15 + h) m/s
c) 15 m/s
Step-by-step explanation:
if the location is
y=x²+3*x
then the average velocity from 3 to 7 is
Δy/Δx=[y(7)-y(3)]/(7-3)=[7²+3*7- (3²+3*3)]/4= 13 m/s
then the average velocity from x=6 to to x=6+h
Δy/Δx=[y(6+h)-y(6)]/(6+h-6)=[(6+h)²+3*(6+h)- (6²+3*6)]/h= (2*6*h+3*h+h²)/h=2*6+3= (15 + h) m/s
the instantaneous velocity can be found taking the limit of Δy/Δx when h→0. Then
when h→0 , limit Δy/Δx= (15 + h) m/s = 15 m/s
then v= 15 m/s
also can be found taking the derivative of y in x=6
v=dy/dx=2*x+3
for x=6
v=dy/dx=2*6+3 = 12+3=15 m/s
Answer:

Step-by-step explanation:
The question is incomplete, as the angles of rotation are not stated.
However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself
We have:


Divide 360 degrees by the number of sides in each angle, then find the multiples.
<u>Nonagon</u>

List the multiples of 40

<u>Hexagon</u>

List the multiples of 60

List out the common angles



This means that, only a rotation of
will lift both shapes onto themselves, when applied to both shapes.
The other angles will only work on one of the shapes, but not both at the same time.
The formula for the equation of y, the number of units sold as a function of x is y = 0.00625x + 250
<h3>How to illustrate the equation?</h3>
From the information given, when the company spends no money on advertising, it sells 250 units and for each additional $4000 spent, an additional 25 units are sold.
The formula for y will be:
y = (25/4000)x + 250
y = 0.00625x + 250
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
Answer:
47
Step-by-step explanation:
In the picture attached, the Venn diagram is shown.
We can see in the picture that the intersection between C and M (symbolized by C∩M) is made by two regions, one with 22 employees and another one with 25 employees, then 22+25 = 47 satisfy C∩M
Answer:

Step-by-step explanation:


Hope this helps