Answer:
f - 1 (x) = - x6 - 76
Step-by-step explanation:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=−x6−76 f - 1 ( x ) = - x 6 - 7 6 is the inverse of f(x)=−6x−7 f ( x ) = - 6 x - 7 .
321 / 100 = 3.21 as you are dividing by 10, and then 10 again
<u>Answer:</u>
The height of the ladder is 14.491 feet
<u>Explanation</u>:
Given the height is 11 feet
Base = 7 + 2 = 9 feet
Consider the ladder to be the hypotenuse
Applying Pythagoras Theorem,
Substituting the values in the above formula,
= 112 + 92
= 121 + 81
= 210
H = sqrt(210)
H = 14.491
Therefore, the height of the ladder is 14.491 feet
Answer: the increase each year is 423 tv sets
Step-by-step explanation:
The formula for determining the sum of n terms of an arithmetic sequence is expressed as
Sn = n/2[2a + (n - 1)d]
Where
n represents the number of terms in the arithmetic sequence.
d represents the common difference of the terms in the arithmetic sequence.
a represents the first term of the arithmetic sequence.
From the information given,
n = 10 years
a = 1000
S10 = 29035
We want to determine d which is the amount by which the production increased each year. Therefore, the sum of the first 10 years would be
29035 = 10/2[2 × 1000 + (10 - 1)d]
29035 = 5[2000 + 9d]
29035/5 = [2000 + 9d]
9d = 5807 - 2000 = 3807
d = 3807/9 = 423
Answer:
x = -5.25 or 21/4
Step-by-step explanation:
When break the bracket out, if there is a minus sign in front of the bracket, when we break it out, the sign inside the bracket would become positive:
67 = 18 - (8x - 7)
67 = 18 - 8x - (-7)
67 = 18 - 8x + 7
67 = 18 + 7 - 8x
67 = 25 - 8x or rewrite for easier look: 25 - 8x = 67
25 - 8x = 67
8x = 25 - 67
8x = -42
Divide both side by 8, we got:
x = -42 / 8
x = -5.25 or 21/4
Hope this helped :3
