Answer:
v = 72 km/h
Step-by-step explanation:
Given that,
The distance covered by the Patrick, d = 288 km
Time taken, t = 4 hours
We need to find the average speed of Patrick. We know that the average speed of an object is equal to the total distance covered divided by total time taken. Let it is v. So,

So, his average speed is equal to 72 km/h.
First question, answer is A, the starting point in the graph shows it’s (0,150) while the slope is 30, look at the labeled axis.
second question, i have to do work for it, i can answer it later. remind me. but in order to find the slope, the formula is delta y over delta x. then to find the y intercept, do what’s called “collect the evidence”. this is when you fill out all needed info, it will look like this- y= x= m= b= ??
idk ab the third question, they would all make the function fine?? idk i’m confused, it doesn’t make sense
fourth question, the answer would be B
We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is
. The graph of the function does not show a phase shift. We are asked to write the equation of our function.
We know that general form a cosine function is
, where,
A = Amplitude,
= Period,
c = Horizontal shift,
d = Vertical shift.
The equation of parent cosine function is
. Since function is reflected about x-axis, so our function will be
.
Let us find the value of b.




Upon substituting our given values in general cosine function, we will get:

Therefore, our required function would be
.
Answer: 167
Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.

Since we want to determine the 76th term, we are going
to substitute 76 in for <em>n</em> in our explicit formula.
Then,
will be our first term in our sequence which is 17.
Lastly, <em>d</em> is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.
So we have
.
Now we have all the information we need. Just simplify from here.
Make sure to apply order of operations because this is where many
students make mistakes. Inside the parentheses first!
(76 - 1) is going to be 75.
So we have
.
Then, we have to make sure we multiply before we add.
So (75)(2) is going to give us 150.
So we have
.
Now just add to find that
.
So the 76th term is 167.