Let <em>s</em> be the plane's speed in still air and <em>w</em> the wind speed. Then
<em>s</em> - <em>w</em> = (6060 km)/(6 h) = 1010 km/h
<em>s</em> + <em>w</em> = (12,150 km)/(9 h) = 1350 km/h
Adding these equations together eliminates <em>w</em> and lets you solve for <em>s</em> :
(<em>s</em> - <em>w</em>) + (<em>s</em> + <em>w</em>) = 1010 km/h + 1350 km/h
2<em>s</em> = 2360 km/h
<em>s</em> = 1180 km/h
Answer:
f(x) x^3 - 2x^2 + 5x + 12
Step-by-step explanation:
Next time please share the goal. I'm guessing your intent was to multiply out the given function.
f(x) = (x^2 + x - 3x - 3)(x - 4), or
= (x^2 - 2x - 3)(x - 4)
Now apply the distributive property of multiplication:
f(x) = x^3 - 4x^2 - 2x^2 + 8x - 3x + 12, or
= x^3 - x^2(4 - 2) + x(5) + 12, or
f(x) x^3 - 2x^2 + 5x + 12
Answer:
Step-by-step explanation:
The line of best fit in scatter diagram, the variable have positive correlation.
Scatter Diagram is attached :
Answer:
a) independent = hours
dependent = wages
b ) W = 10 + 5h
c)27.50
Step-by-step explanation:
The independent variable is the one that you change which is the number of hours that it takes
The dependent variable is the variable that changes based on the independent variable. The wages depends on the hour worked so the wages are the independent variable
The wages equal the fixed cost plus the hourly rate times the number of hours where W is the wages and h is the number of hours
W = 10 + 5h
W = 10 + 5( 3.5)
= 10 + 17.5
= 27.5
Answer:
A= 254.34 m²
Step-by-step explanation:
to find area of a circle use this formula, A=
r²
now just plug it in
A=
9²
A=
81
A= 254.34 m²