12x8=96
This should be the correct answer
Answer:
None of the expression are equivalent to 
Step-by-step explanation:
Given

Required
Find its equivalents
We start by expanding the given expression

Expand 49


Using laws of indices: 


This implies that; each of the following options A,B and C must be equivalent to
or alternatively, 
A. 
Using law of indices which states;

Applying this law to the numerator; we have

Expand expression in bracket


Also; Using law of indices which states;

becomes

This is not equivalent to 
B. 
Expand numerator


Using law of indices which states;

Applying this law to the numerator; we have


Also; Using law of indices which states;

= 
This is also not equivalent to 
C. 



Using law of indices which states;


This is also not equivalent to 
<u>Step-by-step explanation:</u>
transform the parent graph of f(x) = ln x into f(x) = - ln (x - 4) by shifting the parent graph 4 units to the right and reflecting over the x-axis
(???, 0): 0 = - ln (x - 4)

0 = ln (x - 4)

1 = x - 4
<u> +4 </u> <u> +4 </u>
5 = x
(5, 0)
(???, 1): 1 = - ln (x - 4)

1 = ln (x - 4)

e = x - 4
<u> +4 </u> <u> +4 </u>
e + 4 = x
6.72 = x
(6.72, 1)
Domain: x - 4 > 0
<u> +4 </u> <u>+4 </u>
x > 4
(4, ∞)
Vertical asymptotes: there are no vertical asymptotes for the parent function and the transformation did not alter that
No vertical asymptotes
*************************************************************************
transform the parent graph of f(x) = 3ˣ into f(x) = - 3ˣ⁺⁵ by shifting the parent graph 5 units to the left and reflecting over the x-axis
Domain: there is no restriction on x so domain is all real number
(-∞, ∞)
Range: there is a horizontal asymptote for the parent graph of y = 0 with range of y > 0. the transformation is a reflection over the x-axis so the horizontal asymptote is the same (y = 0) but the range changed to y < 0.
(-∞, 0)
Y-intercept is when x = 0:
f(x) = - 3ˣ⁺⁵
= - 3⁰⁺⁵
= - 3⁵
= -243
Horizontal Asymptote: y = 0 <em>(explanation above)</em>
Answer: $42.56
Step-by-step explanation:
Percent discount in department store = 38%
The regular price of suit = $112.
Price taken off the regular price of the suit =
38% of $112
So, 38% of $112
= (38/100) x $112
= 0.38 x $112
= $42.56
(i.e the customer will pay $112 - $42.56 = $69.44 only for the suit)
Thus, the price taken off the regular price of the suit is $42.56
Since the point satisfies the equation
y = x +3
you have
b = (-3/5) +3 = 12/5 . . . . . . . matches A. 12/5