The graph adequately represents the following case
"The number of employees at a store increased at a constant rate for 5 years. There was a decrease in the number of employees for 2 years. Then the number of employees increased at a greater constant rate for the next few years."
Step-by-step explanation:
To solve the above-mentioned problems we need to filter the results through analysing the options given-
We have to keep in mind that-
- For an increase in value/quantity- the graph would be on an upswing
- For decrease in value/quantity- The graph would be in declining mode
- For constant value- horizontal graph line parallel to the x-axis
Now going through the options-
option 1:-
David drove at a constant speed initially- throughout the graph no horizontal line is present, hence this condition does not represent the graph.
option 2:-
test scores increased and then decline- In this condition only two phases are mentioned, whereas in the graph three different phases are present. Hence this condition too does not represent the graph.
option 3:-
After the period of slow.- The graph starts with an upswing. hence this condition too does not represent the graph.
option 4:-
Employees increased and then declined and then again increased. All the above condition corroborates to the above-mentioned graph. hence this condition is represented in the graph
Answer:
solution: x = -8
Step by step:
1) 5x-5+5 = -45+5 : Add 5 to both sides
2) 5x= -40 : Simplify
3) 5x/5 = -40/5 : Divide both sides
Hope that helps
Answer:
Rule: replace x by x - a where a is the number of units that you want to move right. a must be greater than 0. x - - a would move left.
Step-by-step explanation:
You want f(x) to move 3 units to the right.
That would mean that x would be replaced by x - 3. Just to be sure let's try it.
- Suppose you have f(x) = x^2 + 6x + 5 It is graphed as the red line
- Now suppose you want to move 3 units right.
- It would replaced like f(x - 3) = (x - 3)^2 + 6(x - 3) + 5 which is the blue line
- Notice nothing else is changed. The blue line looks exactly like the red line except that it is shifted 3 units to the right.
Answer:
the monthly payment is $134.72
Step-by-step explanation:
This is if the mortgage is annual also.
add all 3 which would equal 1,616.6.
But "why?" you ask is it so expensive.
it is still annual so divide it by 12 and you have 134.72
Answer:
C, f(x) = 2x + 6
Step-by-step explanation:
First, we need to plug in the values of the x coordinates and see if it matches with the y coordinate to determine if it is on the same line. Startin with 2x + 8, we have the point (1, 8) on the graph. Plugging in 1 gets you 10 for the y. This is wrong since 8 is the y coordinate. Moving on, we have 6.4(1.25)^x for the same point. Plugging in 1, we have 6.4 * 1.25 = 8, which is true. Moving on to the second point, (2, 10), we have 1.25 squared times 6.4. This is thus wrong. So, moving on to 2x + 6, we have the point (1, 8), and plugging in 1 for x, we have 8 as y. Since this satisfies the equation we move on to the next point, (2,10). Plugging in x, we have 2 * 2 + 6 = 10, which is also true. Moving on to our third point (3 , 12), we plug in 3 for x. We then get 3 * 2 + 6 = 12, which is correct. This, is our answer then.
