-16 + 3n = -(8 + 5n)
The - sign outside the parentheses acts as a -1, and so it is distributed to each term in the parentheses.
-16 + 3n = -8 - 5n
+16
3n = 8 - 5n
+5n
8n = 8
/8
n = 1
Answer:
translation
Step-by-step explanation:
a rotation would make it horizontal which it is not
reflection would flip it its not fliped.
There for its translation
hope this helps
7)$25.50×.06=$1.53
$25.50+$1.53=$27.03
8)$66.30×.07=$4.64(actually $4.641 but have to round since it's money)
$66.30+$4.64=$70.94
9)$23.06×.065=$1.50(actually $1.4989 but have to round since it's money)
$23.06+$1.50=$24.56
10)$34.99×.0525=$1.84(actually $1.836975 but have to round since it's money)
$34.99+$$1.84=$36.83
11)$199.99×.0625=$12.50(actually $12.499375 but have to round since it's money)
$199.99+$12.50=$112.49
12)$130.25×.08=$10.42
$130.25+$10.42=$140.37
Just keep doing what you did in 1. I'll show you how easy it is.
2.
a) g(9) = 9 - 5 / 2 = 4 / 2 = 2.
b) g(0) = 0 - 5 / 2 = 5 / 2 = 2 1 / 2.
c) g(3) = 3 - 5 / 2 = 2 / 2 = 1.
d) g(17) = 17 - 5 / 2 = 12 / 2 = 6.
3.
a) f(3) = 3^2 - 4 = 9 - 5 = 4.
b) f(-4) = -4^2 - 4 = 16 - 4 = 12.
c) f(0) = 0^2 - 4 = 0 - 4 = -4.
d) f(-2) = -2^2 - 4 = 4 - 4 = 0.
4.
a) f(10) = 10 / 2 - 6 = 5 - 6 = -1; -1 is the solution.
5.
a) I'll test one after another.
1. f(0) = 2(0) - 3 = 0 - 3 = -3 > g(0) = 3(0) / 2 + 1 = 0 + 1 = 1; this is incorrect.
2. f(2) = 2(2) - 3 = 4 - 3 = 1 = g(2) = 3(2) / 2 + 1 = 6 / 2 + 1 = 3 + 1 = 4; this is incorrect.
3. f(8) = 2(8) - 3 = 16 - 3 = 13 = g(8) = 3(8) / 2 + 1 = 24 / 2 + 1 = 12 + 1 = 13; this is correct.
4. g(4) = 3(4) / 2 + 1 = 12 / 2 + 1 = 6 + 1 = 7 < f(4) = 2(4) - 3 = 8 - 3 = 5; this is incorrect.
Hope this helps :)
