(a) since we are given that f(8) = 9, the inverse of 9 is simply 8. Therefore, f^-1(9) = 8.
(b) Again, f is the inverse of f^-1, therefore, you simply switch numbers, and you get that f(-3) = -7.
Answer:
(5,-2)
Step-by-step explanation:
6+4=10
10/2=5
-6+2=-4
-4/2=-2
A parallelogram is a flat shape with opposite sides parallel and equal in length. The diagonals of a parallelogram bisect<span> each other. In simpler words, they intersect halfway point. We calculate as follows:
</span>d2 = √<span>2a^2 + 2b^2 - d1^<span>2
</span></span>d2 = √2(7)^2 + 2(9)^2 - 14^2
d2 = 8 inches
Answer:
Step-by-step explanation:
Last year
Ratio of the number of middle school students to number of high school students = 1 : 8
Total ratio = 9
Middle school = 1
High school = 8
Total students in the band = x
Middle school = 1/9x
High school = 8/9x
Total = 1/9x + 8/9x
This year
Ratio of the number of middle school students to number of high school students = 2 : 7
Total ratio = 9
Middle school = 2
High school = 7
Total students = x
Middle school = 2/9x
High school = 7/9x
Total = 2/9x + 7/9x
If there are 18 middle school students in the band this year
2/9x = 18
x = 18÷2/9
= 18 × 9/2
= 81
x = 81
Last year:
1/9x + 8/9x
= 1/9 * 81 + 8/9 * 81
= 9 + 72
= 81
This year
2/9x + 7/9x
2/9*81 + 7/9*81
= 18 + 63
=81
Change in middle school =this year - last year
= 18 - 9
= 9 (increase)
Change in high school = this year - last year
= 63 - 72
= -9 (decrease)
Answer:
y = 3
Step-by-step explanation:
(Assuming that 2x - 11 = y)
