The transformation occurs from function g is a vertical translation 6 units down.
<h3>What is Transformation?</h3>
A function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f : X → X.
Given:
g(x) = 4x + 6
g(x) = 0
4x + 6=0
x= -6/4
Now,
f(-6/4) = 2 - 1
=-1
By seeing g(x), we can say that function g is a vertical translation 6 units down.
Learn more about transformation here:
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The answer would be 17 because 59 - 30 = 29 and 29 - 12 =17
Answer:
0.430
Step-by-step explanation:
Product has four parts :
For proper functioning, each part must function :
Let the 4 parts be:
A, B, C and D
Proper functioning probability :
A and B = 0.79
C and D = 0.83
For proper functioning :
P(A) * P(B) * P(C) * P(D)
0.79 * 0.79 * 0.83 * 0.83
= 0.42994249
= 0.430
Use the geometric mean for right triangles here. Like this
. Cross multiply to get
, and
. That simplifies down to
. Pull out the 9 as a perfect square of 3 and you're left with
, first choice above.
The maximum number of roots to a polynomial of order n is n roots. Take the example of a quadratic (order 2) which can intersect the x-axis a maximum of 2 times, and similarly a cubic (order 3) 3 times maximum.
Hence for 8 intersections, minimum order = 8
