<h3>
Answer: D) 0</h3>
Work Shown:
f(x) = 4x^(-2) + (1/4)x^2 + 4
f ' (x) = 4*(-2)x^(-3) + (1/4)*2x .... power rule
f ' (x) = -8x^(-3) + (1/2)x
f ' (2) = -8(2)^(-3) + (1/2)*(2)
f ' (2) = 0
Answer:
If the line RS has been rotated 90 degrees, then VU will be perpendicular to RS and the two slopes must be opposite and reciprocal, i.e. product of the two slopes will equal -1.
As a verification, we find the locations of V and U from rotations of R & S.
(actually, the triangle had been rotated -90°, 90 ° clockwise)
Step-by-step explanation:
Slope RS, m1:
Slope VU, m2
Hence m1*m2=1*-1=-1, meaning that m1 and m2 are opposite (in sign) and are reciprocal to each other, as expected
Answer:
$10.50
Step-by-step explanation:
First, find the cost of a pound of nuts.
Divide the price by the number of pounds:
60/4
= 15
Calculate the price with the 30% discount by multiplying this by 0.7:
15(0.7)
= 10.5
So, after the discount, a pound of nuts will cost $10.50
A
this is a geometric sequence since there exists a common ratio r between the terms
r = 
= 
= 
= 3
B
to obtain the next term in the sequence multiply the previous term by 3
= 3 
← recursive rule
C
the n th term of a geometric sequence is
= 
where is the first term in the sequence
= 7 × 
← explicit rule
The two numbers are <u>19 and 52.</u>
<h3>
EXPLANATION</h3>
19 x 3 = 57, 57 - 5 = 52, 52 - 19 = 33.
Hope this helps!
