Each statement describes a transformation of the graph of y = ln x. Which statement correctly describes the graph of y = ln(x - 7) + 3? A.
It is the graph of y = ln x translated 3 units up and 7 units to the left.
B.
It is the graph of y = ln x translated 7 units down and 3 units to the right.
C.
It is the graph of y = ln x translated 7 units up and 3 units to the right.
D.
It is the graph of y = ln x translated 3 units up and 7 units to the right.
Reset If f(x) = |x| and g(x) = |x| − 4, which translation is applied to f(x) to get g(x)?

A.
a vertical translation of f(x) four units upward

B.
a horizontal translation of f(x) four units to the left

C.
a horizontal translation of f(x) four units to the right

D.
a vertical translation of f(x) four units downward

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this

-3.5 degrees per hour

step-by-step explanation:

find the unit rate:

-12   1/4 degrees           12.25 degrees

= - = -3.5 degrees per hour

      3   1/2 hours               3.5 hours

secant-secant formula:

(whole secant) x (external part) =           (whole secant) x (external part)

(8+y-2) *8=                                           (y+4+6) *6

(y+6)*8 = (y+10) *6

distribute

8y+48 = 6y +60

subtract 6y from each side

2y +48 = 60

subtract 48 from each side

2y = 12

divide by 2

y = 6

sv =     (y+4+6)

sv   = 6+4+6

sv = 16