so when we add to the function outside of the parentheses of (x)^3, we are moving the graph in the up down direction so it would look like x^3 but shifted up 2 units. the way to easily know which one it is, plug in zero for x in the original and 0^3 is zero so we know the original fuction will go through the origin so the function who's center is is only shifted up (because it's positive 2) two units so graph 1
note: the reason i know that what looks like a center point is actually at the origin is because f(x)= x^3 is a very famous graph that you should know the shape of :)
Solution :
Given
= weight of the first side
= 6 kg = 6000 g
= distance of the first weight from the triangle.
= 3 m = 300 cm
= distance of the first weight from the triangle.
= 600 cm
Let,
= weight of the second side
So,
x
=
x ![$D_2$](https://tex.z-dn.net/?f=%24D_2%24)
or ![$W_2=\frac{W_1 \times D_1}{D_2}$](https://tex.z-dn.net/?f=%24W_2%3D%5Cfrac%7BW_1%20%5Ctimes%20D_1%7D%7BD_2%7D%24)
![$W_2=\frac{6000\times 300}{600}$](https://tex.z-dn.net/?f=%24W_2%3D%5Cfrac%7B6000%5Ctimes%20300%7D%7B600%7D%24)
= 3000 g
Therefore, the quantity that is used to replace the question mark in order to make the scale balance is 3000 g.
Answer:
10 5/7.
Step-by-step explanation:
In words we say this is ' 5 divided by 7/15'.
5 / 7/15
= 5 * 15/7
= 75/7
= 10 5/7
6/10 + 7/12 = 142/120 = 71/60 = 1.18 (One whole number, and 11/60)
Answer:
<h2>lateral surface area= 109.97 in^2</h2>
Step-by-step explanation:
The lateral surface area of a cone is given by the expression
![LSA= \pi rl](https://tex.z-dn.net/?f=LSA%3D%20%5Cpi%20rl)
Given
diameter= 7 inches
radius= 7/2= 3.5 inches
slant height l= 10 inches
substituting the data into the formula we have
![LSA= 3.142*3.5*10= 109.97 in^2](https://tex.z-dn.net/?f=LSA%3D%203.142%2A3.5%2A10%3D%20109.97%20in%5E2)