Please use * to denote mult. here, not "x." "x" is your variable and cannnot also be a symbol for mult.
f(x)g(x) = 3x^3 - 5x^2.
Now let x = 3:
(f*g)(3) = 3(3)^3 - 5(3)^2 = 81-45 = 36 (answer)
<h3>Answer: Choice D</h3>
4x - 3y = 15
====================================================
Explanation:
The two points (-1,-1) and (2,3) are marked on the line
Let's find the slope of the line through those two points.
The slope is 4/3 meaning we go up 4 and to the right 3.
-------------
Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.
Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.
Equation A has a slope of -3/4 and not 4/3 like we want.
Therefore, this answer choice is crossed off the list.
Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.
- slope of equation B is 3/4
- slope of equation C is -4/3
- slope of equation D is 4/3
We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.
You can use graphing tools like Desmos or GeoGebra to confirm the answer.
Answers
1.Slope-intercept form
2.Point-Slope form
3.Standard Form
4.Vertical Line
5.Horizonal Line
Given: The time taken to do each activity from Colin's house to his hotel in given.
- he drove to the airport for 45 minutes
- he waited at the airport for the flight to depart for 90 minutes
- his fight duration was 70 minutes
- upon landing, he gathered his luggage for 20 minutes
- he drove to the hotel for 35 minutes
To Find: what is true of any expression that represents the total time Collin spent traveling from his house to the hotel
Solution: Any expression will involve the sum of all the durations of his various activities i.e., 260 minutes or 4 hours and 20 minutes.
Explanation:
As each of the activities described is an independent activity that does not overlap, we can easily sum up the durations of each to find the total time Collin took from his house to the hotel.
We add it as follows :
he drove to the airport for 45 minutes + he waited at the airport for the flight to depart for 90 minutes + his fight duration was 70 minutes + upon landing, he gathered his luggage for 20 minutes + he drove to the hotel for 35 minutes.
So, 45+90+70+20+35 = 260 minutes
which means it took a total of 260 minutes or 4 hours and 20 minutes from Collin's house to his hotel.
