Answer:
D
Step-by-step explanation:
Using the rule of exponents
×
⇔
, then
3² × 3³
= ![3^{(2+3)}](https://tex.z-dn.net/?f=3%5E%7B%282%2B3%29%7D)
= ![3^{5}](https://tex.z-dn.net/?f=3%5E%7B5%7D)
= 3 × 3 × 3 × 3 × 3
= 9 × 9 × 3
= 81 × 3
= 243 → D
X = Harry's Age
Nick's age is 7x
In 6 years Harry is 7x+6, and Nick is 5(x+6)
7x+6=5x+30
2x+6=30
2x = 24
x = 12
Harry = 12 years old and in 6 years Harry will be 18.
Answer:
a. (15, 15)
Step-by-step explanation:
We start with those two equations:
1) a - 1.2b = -3
2) 0.2b + 0.6a = 12
We'll begin by modifying equation #1 to isolate a:
a = -3 + 1.2b
Then we'll use this value for a in the second equation:
0.2b + 0.6 (-3 + 1.2b) = 12
0.2b - 1.8 + 0.72b = 12
0.92b = 13.8
b = 15
Then we'll place that value of b in the first equation to find a:
a - 1.2 (15) = -3
a - 18 = -3
a = 15
Answer:
C
Step-by-step explanation:
trial and error
Answer:
(g o f)(5) = 47
Step-by-step explanation:
We are given a composite function:
g(x) = 4x + 3
f(x) = 3x - 4
We are supposed to find (g o f)(5), which really means g( f(x) ). So, we put the function of f(x) for every x in g(x), like this:
g(x) = 4x + 3
g( f(x) ) = 4(3x - 4) + 3
g( f(x) ) = 12x - 16 + 3
g( f(x) ) = 12x - 13
Now, we also need to evaluate for x = 5, like this:
g( f(5) ) = 12(5) - 13
g( f(5) ) = 47