Answer:
Step-by-step explanation:
complimentary angles, when added = 90 degrees
69 + 5n + 1 = 90
5n + 70 = 90
5n = 90 - 70
5n = 20
n = 20/5
n = 4 <====
The Mean Value Theorem:
If a function is continuous on [ a, b ] and differentiable on ( a , b ) than there is a point c in ( a, b ) such that:
f ` ( c )= ( f ( b ) - f ( a ) ) / ( b - a )
f ` ( c ) = ( f ( 2 ) - f ( 0 ) ) / ( 2 - 0 )
f `( x ) = 10 x - 3
f ` ( c ) = 10 c - 3
2 f ` ( c ) = 16 - 2
f ` ( c ) = 7
7 = 10 c - 3
c = 1
Answer:
Yes, the function is continuous on [ 0, 2 ] and differentiable on ( 0, 2 ).
Answer: center (1;0), radius = 2
Step-by-step explanation:
x² – 2x + 5+ y² = 8
x² – 2x + 5+ y² = x² – 2x + 1 + 4 + y² = (х-1)² +4 + y²
(х-1)² +4 + y² = 8
(х-1)² + y² = 8 - 4 = 4
(х-1)² + y² = 2²
center (1;0), radius = 2
$ 5 is taken is off the regular price
<em><u>Solution:</u></em>
Given that, Regular price of the soccer ball is $ 25
During the sale, it is 20 percent off
Let "x" be the amount that is taken off the regular price
Regular price = $ 25
Discount = 20 percent off
Which means, 20 % of regular price is taken off
x = 20 % of regular price
x = 20 % of 25
Thus $ 5 is taken is off the regular price
Answer: 75%
Step-by-step explanation:
32 dollars times 75% = 24
32 - 24 = $8
