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:
The change in the area of the rectangle is 0 square feet
Step-by-step explanation:
To solve this problem we have to calculate the area of the two rectangles that give us
first we have to know the formula to calculate the area of a rectangle
a = area
l = length = 12ft
w = width = 5ft
a = l * w
we replace the known walues
a = 12ft * 5ft
a = 60ft²
we do the same with the other rectangle, but first we have to calculate its sides
w = 5ft - (5ft * 20/100)
w = 5ft - 1ft
w = 4ft
l = 12ft + (12ft * 25/100)
l = 12ft + 3ft
l = 15ft
a2 = 15ft * 4ft
a2 = 60ft²
to calculate the change in the area we subtract (a - a2)
a - a2 =
60ft² - 60ft² = 0ft²
Answer: the system of equations are
3x + y = 14
y = 4x
Step-by-step explanation:
Let x represent the number of three point shots that Hailey made.
Let y represent the number of free throws(worth one point each) that Hailey made.
Hailey made some three point shots and some free throws and
scored a total of 14 points. This would be expressed as
3x + y = 14
Hailey made 4 times as many free throws as three point shots. This would be expressed as
y = 4x
Here, equation of a line, y + 2 = 1/3 (x -5)
slope = 1/3
Slope of the line which is perpendicular would be -3 [ reciprocal & opposite ]
Now, y - y1 = m(x-x1)
y - 3 = -3(x - (-4))
y - 3 = -3x - 12
y = -3x - 9
In short, Your Answer would be y = -3x - 9
Hope this helps!
