Answer: -4.8, -4.08, -3.9, 0, 3, 3.1
Step-by-step explanation:
Think of these numbers on a number line. Starting at zero number to the right all positive numbers ex: 0,1,2,3,4
Then, starting at zero moving left number negative numbers ex: -4,-3,-2,-1,0
Step-by-step explanation:
the slope is the ratio of "y coordinate difference / x coordinate difference".
so, let's find 2 good points (I mean by that with integer coordinates). I see e.g.
(-1, -1) and (0, -7)
x changes by +1 (from -1 to 0).
y changes by -6 (from -1 to -7).
so, the slope is -6/1 = -6.
D is the right answer.
In this problem, volume is computed:
volume = ∫(flow rate)·dt
.. = ∫[0, t] (3/10)*sin(2πt/7)·dt
= (3 / 10)*(7 /(2 π))*(-cos (2 π t/7)+1)
= (-21 / (20 π))*(cos (2 π t /7) - 1)
Volume is equal to 21 sin^2 (pit/7) / 10pi is the inhaled air in the lungs at time t
This is the following way to solve this problem:
3x-10(x+2)=13-7x
3x-10x-20=13-7x (multiply 10 times what's in the parentheses)
-7x-20=13-7x ( subtract 3x from -10x)
-7x-20-13=-7x ( since the 13 is positive, when we move it to the other
side, we change it's sign, so now we subtract 13 from 20
-7x-7=-7x
-7=-7x+7x ( we do the same thing we did above, now with the -7x)
-7=x
x=-7
Answer: x = -7
--- --- --- --- --- --- ---
: )
-13/8
-1.264
-5/4
-1.015
-14/25
-0.480