Answer:
a)never b)always c)never d)sometimes.
Step-by-step explanation:
I’ll try to explain by giving examples for each:
a) let’s take n=-1 => 2*1/10= 2/10 =0,2 = > the number won’t be negative => answer:never.
b)let’s take q=-2 => (-2)*100000=-200000 => answer:always.
c)let’s take m=-2 => 6*1/100 = 6/100 =0,06; and 60^-2 = 1/60^2=1/360=0.02... => answer:never.
d)let’s take 1) p=1000; => 1000/1000=1. 2) p= 2 => less than 1. => answer:sometimes.
Answer:
The value of h(x) = f(x)g(x) is 24x² + 16x – 14.
Step-by-step explanation:
Given:
A(3,0)
B(1,-2)
C(3,-5)
D(7,-1)
1) reflect across x=-4
essentially calculate the difference between the x=-4 line and Px and "add" it in the other direction to x=-4
A(-4-(3-(-4)),0)=A(-11,0)
B(-4-(1-(-4)),-2)=B(-9,-2)
C(-4-(3-(-4),-5))=C(11,-5)
D(-4-(7-(-4)),-1)=D(-15,-1)
2) translate (x,y)->(x-6,y+8)
A(-3,8)
B(-5,6)
C(-3,3)
D(1,7)
3) clockwise 90° rotation around (0,0), flip the x&y coordinates and then decide the signs they should have based on the quadrant they should be in
A(0,-3)
B(-2,-1)
C(-5,-3)
D(-1,-7)
D) Dilation at (0,0) with scale 2/3, essentially multiply all coordinates with the scale, the simple case of dilation, because the center point is at the origin (0,0)
A((2/3)*3,(2/3)*0)=A(2,0)
B((2/3)*1,(2/3)*-2)=B(2/3,-4/3)
C((2/3)*3,(2/3)*-5)=C(2,-10/3)
D((2/3)*7,(2/3)*-1)=D(14/3,-2/3)
Answer:
P(S or T)= 3/4
Step-by-step explanation:
Given:
S and T are mutually exclusive events
find P(S or T)
P(S or T)= P(S) + P(T)
= 1/3 +5/12
=4+5/12
=9/12
=3/4 !
Answer:
B
Step-by-step explanation:
Combine like terms then solve