120+4w
4 new songs each week so that would be 4 multiplied by the number of weeks but we don’t have a number we just have a variable so that would be 4w
And there was already 120 songs so we want to add that in with the amount of songs added each week
120 + 4w
<span>f(x)=1/(x+1)
h(x ) = 2x + 3
</span><span>I proceed to make the table, placing different values of X until we get
f (x) = g (x)
(</span>
see the attached table)
<span>
The solutions to this problem are (-0.5, 2) and (-2,-1)</span>
Lets suppose his initial weight was 60 kilograms
A gain of 20% would make his new eight 60 + 20*60/100
= 60 + 12
= 72 kg
he lost 25% of this:-
= 72 - 25 * 72/100 = 54 kg
This = (54/60) * 100 = 90% of his beginning weight Answer
Answer:
ü=2i+2j+0k
Step-by-step explanation:
The given plane 2x + 2y + 2 = 3 can also be written as:
2x+2y=3-2
2x+2y=1
The general equation for a plane is Ax+By+Cz=D and by definition the normal vector of that plane is n=Ai+Bj+Ck
Where i,j,k are the unit vectors
In order to demostrate that the vector n is normal to the plane, let R1=(a1,b1,c1) and R2=(a2,b2,c2) be two vectors that are in the plane.
If R1 ∈ Ax+By+Cz=D then Aa1+Bb1+Cc1=D
If R2 ∈ Ax+By+Cz=D then Aa2+Bb2+Cc2=D
Therefore, the vector R1R2=R2-R1=(a2-a1)i+(b2-b1)j+(c2-c1)k
You can apply the dot product. <em>If the dot product of the two vectors is zero then the vectors are normal.</em>
So, the vector which components are A,B,C is normal to the plane becase it is normal to any vector contained in the plane.
In this case:
A=2, B=2, C=0
ü=2i+2j+0k
Answer:
Step-by-step explanation: