We have that
F(x) = x^3 and <span>G(x) = (4x)^3 − 5
so
</span>G(x) = F(4x) -5
the visual effect is
1) shrink horizontally by 1/4
2) shift down by 5
therefore
the answer is the option
<span>D.The graph of G(x) is the graph of F(x) compressed horizontally and shifted 5 units down.</span>
Answer:
r < -7 or r > 10
Step-by-step explanation:
-2|3 - 2r| < -34
|3 - 2r| > 17 (Note the inequality sign flips because we divide by negative)
Now we split it up into 2 inequalities :-
3 - 2r > 17
-2r > 14
r < -7 (answer)
and
3 - 2r < -17
-2r < -20
r > 10 (answer).
Answer:
p= -1
Step-by-step explanation:
gradient=<u>y</u><u>²</u><u>-</u><u>y</u><u>¹</u>
<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>x²-x¹
-1 =<u>p</u><u>-</u><u>2</u>
<u> </u><u> </u><u> </u><u> </u><u> </u>9-6
-1=<u>p</u><u>-</u><u>2</u>
<u> </u><u> </u><u> </u><u> </u><u> </u> 3
multiply both sides by 3 to remove the denominators
-1×3=p-2
-3=p-2
put the like terms together
-3+2=p
-1=p
Answer:
Option d. 4
Step-by-step explanation:
The correct expression is 
we know that
To find the value of the expression we will substitute the given value of x and y in the expression.
For x=32, y=2
substitute

Answer:
(a)
and 
(b) The sample variance is
and the sample standard deviation is 
Step-by-step explanation:
(a)
The sum of these 17 sample observations is

and the sum of their squares is

(b)
The sample variance, denoted by
, is given by

where 
Applying the above formula we get that


The sample standard deviation, denoted by <em>s</em>, is the (positive) square root of the variance:

Applying the above formula we get that
