X represents the amount of weeks:
7+x for Germany and 3+2x for Tony they have to be equal for them to run the same distance:
3+2x=7+x
-3 from each side:
2x=4+x
-x from each side:
x=4
They run the same distance on the fourth week, that distance is 7+4=11
Hope this helps :)
Answer:
A
Step-by-step explanation:
Quizlet
so if you notice yours
now.. normally the function
has a D value of 0, or no vertical shift, and the amplitude and the period simply make the wave taller and thinner, but the midline is still the x-axis
now, with D = 6.1, that moves the midline up vertically that much
now.. the period, well, B = 5/3, normal period of cosine is
so, the new period will be
notice the picture below
the vertical shift by the D component, or 6.1, moved the midline to y = 6.1 :)
Let's test each alternative :
2 x - 9 y = 38 ( 7,5 ) :
( 2 * 7 ) - ( 9 * 5 ) = 38
14 - 45 = 38
-31 ≠ 38 ( wrong )
( 4 , - 1 ) :
( 2 * 4 ) - ( 9 * ( - 1 ) = 38
8 + 9 = 38
17 ≠ 38 ( wrong )
( 3 , - 3 ) :
2 * ( 3 ) - ( 9 * ( - 3 ) = 38
6 + 27 = 38
33 ≠ 38 ( wrong )
( 1 , - 4 ) :
2* ( 1 ) - 9 * ( - 4 ) = 38
2 + 36 = 38
38 = 38 ( Correct alternative )
( 1 , - 4 ) is correct alternative
<h3>
Answer: g(x) = 5x+9, second choice</h3>
Explanation:
When we reflect over the vertical y axis, every negative x value becomes positive and vice versa. So we effectively replace x with -x like so
f(x) = -5x+9
f(-x) = -5(-x)+9 ... replace every x with -x
f(-x) = 5x+9
g(x) = 5x+9
A point like (1,4) on f(x) will reflect over to (-1,4) on g(x). If we apply this to every point on f(x), then all of f(x) will reflect to g(x).
