Answer:
He is being paid $180 on Monday.
Step-by-step explanation:
Since it asks for function notation, I'll relate the variables accordingly. So, x, the independent variable, is the one that is being adjusted. That would be the amount of miles that he is assigned so x = miles assigned. Next, the dependent variable, f(x), is the amount of cash he is paid, so f(x) = total amount paid.
Here is the function that can be used to represent the situation:
f(x) = 3.50x + 75
Now, plug in 30 to find out how much he earns after completing a 30 mile route:
f(30) = 3.50(30) + 75
f(30) = 105 + 75
f(30) = 180
Also, the $75 is a fixed amount. No variable association.
Answer:
There are 495 different ways to choose 4 pizza toppings from 12.
Step-by-step explanation:
12!/8!4! = 12*11*10*9/(4*3*2) = 11*9*5 = 495
Answer:
False.
Step-by-step explanation:
Because we have to isolate y and subtracting 2 will not put y alone on one side.
We have to subtract 2x in order to solve for y.
We have to use the rule of cosx° to solve this problem. Attached is a diagram of the navigator's course for the plane. It is similar to the shape of a triangle. We know the plane is 300 miles from its destination, so that will be one of the sides. On the current course, it is 325 miles from its destination, so that will be another one of the sides. The last side is 125 because that is the distance between the destination and the anticipated arrival. Cosx° is what we are looking for.
To find how many degrees off course the plane is, we must use the rules of Cosx°, which is shown in the attached image.
The plane is approximately 23° off course.
Answer:
A) 29
Step-by-step explanation:
DG = GJ
GJ = DG = 4x + 17
DJ = DG + GJ
11x + 25 = 4x + 17 + 4x + 17
11x + 25 = 4x + 4x + 17 + 17 {Combine like terms}
11x + 25 = 8x + 34
Subtract 25 from both sides
11x = 8x + 34 - 25
11x = 8x + 9
Subtract 8x from both sides
11x - 8x = 9
3x = 9
Divide both sides by 3
x = 9/3
x = 3
DG = 4x + 17
= 4*3 + 17
= 12 + 17
DG = 29