The graph g(x) is the graph of f(x) translated (5,2,3) units (down,up,left,right) , and g(x) =(f(x-3),f(x)-5,f(x)+3,f(x-2),f(x)+
marusya05 [52]
Answer:
The graph g(x) is the graph of f(x) translated <u>2</u> units <u>right</u>, and g(x) = <u>f(x-2)</u>
Step-by-step explanation:
g(x) passes through points (0, -5) and (1, -2), then the slope of g(x) is the same as the slope of f(x), which is 3.
f(x) passes through (0, 1) and g(x) passes through (2, 1). Therefore, the graph g(x) is the graph of f(x) translated 2 units right.
f(x - c) translates f(x) c units to the right, therefore g(x) = f(x-2)
In order to check this result, we make:
f(x) = 3x + 1
f(x-2) = 3(x-2) + 1
f(x-2) = 3x - 6 + 1
f(x-2) = 3x - 5 = g(x)
Answer:
Step-by-step explanation:
Answer: Firstly in this question, we need to solve for
α
which is the part of the distribution of which we not looking for.
we can do this with the sum:
α
=
1
−
0.76
=
0.24
as
0.76
=
76
%
we also know that our Standard Normal Distribution is symmetric, so we must divide that
α
to be split on either side of our distribution. so we solve for:
α
2
=
0.24
2
=
0.12
then we find a correlating
z
-score for the value
0.12
and we get that
−
z
=
−
1.175
and
z
=
1.175
This becomes easier to understand when visualized, so observe how we do this sum.
Step-by-step explanation:
Answer: x = 2 ; -11 .
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Explanation:
_____________________________________________
Given the equation:
_____________________________________________
x² + 9x −<span> 22 = 0 ; Solve for: "x" ;
_____________________________________________
Let us factor the "left-hand side" of the equation:
_____________________________________________
"x</span>² + 9x −<span> 22" ;
_____________________________________________
What are the factors of "-22"" that add up to "positive 9" ?
_____________________________________________
Let us list the factors of "-22" :
____________________________________________
-2, 11; </span>→ -2 + 11 = 9 ;<span>
-11, 2; </span>→ -11 + 2 = -9 ;<span>
____________________________________________
So we have: "-2" and "11" ;
____________________________________________
So; </span> "x² + 9x − 22" ; factors into " (x−2)(x + 11)" ;
____________________________________________
We have: (x−2)(x + 11) = 0 ;
So: x − 2 = 0 ;
Add "2" to each side of the equation;
x − 2 + 2 = 0 + 2 ;
x = 2 ;
___________________________________
x + 11 = 0 ;
Subtract "11" from each side of the equation;
x + 11 − 11 = 0 − 11 ;
x = -11 ;
___________________________________
Answer: x = 2 ; -11 .
___________________________________
