Those are all lines...
So the x interval is from -2 to 3, because of x=-2 and x=3
The upper line is y(u)=4x and the lower line is y(l)=x-5
So the area between the two lines is:
A=⌠y(u)-y(l) dx
A=⌠4x-x+5 dx
A=⌠3x+5 dx
A=[3x^2/2+5x]
A=[(3x^2+10x)/2], x=[-2,3]
A=(1/2)(27+30-(12-20))
A=(1/2)(57+8)
A=(1/2)(65)
A=32.5 u^2
Answer:
See below
Step-by-step explanation:
<u>Given functions</u>
As we see g(x) = f(x + 5) + 1, which means <u>horizontal translation 5 units left</u> and <u>vertical translation 1 unit up</u>.
Answer options are all incorrect
8/3 cups or 2 2/3
2/3 × 4/1 = 8/3
if u divide 3 into 8 it gives u 2 times with 2 places left
the 2 places equal 2/3
2 whole OR 6/3 + 2/3 = 8/3 OR 2 and 2/3
Answer:
yz + z = -22
Step-by-step explanation:
Ok so you are already the number that y = 10 and z = -2. You will plug these number in the equation in order to find the answer. :-
y = 10 and z = -2
yz + z
<u>10(-2)</u> - 2
<u>-20 - 2</u>
-22
Hope this helps, thank you :) !!
Both trains travel for 7 time units.
Train A travels 385 distance units, so its speed is

Train B travels 577.5 distance units, so its speed is

Note that the units are not specified, but considering that we're talking about trains, the graph is likely to be showing distance in km (or miles) and time in hours.
Also, the distance traveled by train B is not perfectly aligned with the grid, so I assumed that it was the average between the two ticks of 550 and 605.