G (x) = |x + 10| (if you mean horizontal translation to the left)
or g (x) = | x | + 10 (vertical translation 10 units up)
<h3>
Answer: Choice A) x < 7</h3>
Reason:
The domain is the set of allowed x inputs.
The graph shows an open hole at x = 7, meaning that 7 itself isn't part of the domain. But any value smaller than this will be part of the domain. So that's why we go for x < 7.
The value x = -1 is allowed since we have a closed endpoint for one of the pieces here.
The arrow pointing to the left indicates that piece goes on forever in that direction.
Answer:
x=5,y=2,z=-1
Step-by-step explanation:
x+y+z=6 ........1
2x-y+3z=5 ..........2
3x+2z=13 ⇒3x=13+2z ⇒ x=(13-2z)/3
substitute for x in equation 1 and 2
13-2z/3+y+z=6 ⇒13/3 -2z/3+y+z=6 ⇒z/3+y=6-13/3
<h2>z/3+y=5/3 first equation</h2>
2(13-2z)/3-y+3z=5
26/3-4z/3-y+3z=5⇒5z/3-y=5-26/3⇒
<h2>5z/3-y=-11/3 second equation</h2><h2>z/3+y=5/3 first equation</h2><h2>eliminate y </h2>
5z/3-y+z/3+y=-11/3+5/3
6z/3=-6/3
<h2>z=-1</h2><h2>x=(13-2z)/3 ( find x, bu substitute z=-1)</h2>
x=(13+2)/3
<h2>x=15/3 ⇒ x=5</h2><h2>x+y+z=6</h2>
5+y-1=6
y=6+1-5
<h2>y=2</h2><h2 /><h2 /><h2 />
Answer:
P(n) = 0.5
Step-by-step explanation:
For two events which are independent, we use the multiplication rule which states P (A and B) = P(A) * P(B). Substitute P(m) = 0.4 and P(m and n) = 0.2 into this formula.
P (m and n) = P(m) * P(n)
0.2 = 0.4*P(n)
Divide by 0.4 on both sides.
0.2 / 0.4 = P(n)
0.5 = P(n)