Answer:
30
Step-by-step explanation:
5=5,10,15,20,25,(30),35
6=6,12,18,24,(30),36
30 is the first number that can be used to divide both numbers
Answer:
y= -1/2x + 3
Step-by-step explanation:
A line perpendicular will have the reciprocal slope.
First you need to find the slope of the line given.
m= rise/ run
m= -2
Now flip for the reciprocal.
The perpendicular line will have a slope of -1/2
Answer:
g(x) = x+1
Step-by-step explanation:
Informally, you can see that the function h(x) takes the root of a value that is 1 more than the value under the same radical in f(x). This suggests that adding 1 to x in f(x) will give you h(x). That is, ...
h(x) = f(x+1) = f(g(x))
so
g(x) = x+1
_____
More formally, you can apply the inverse of the function f(x) to the equation ...
h(x) = f(g(x))
f^-1(h(x)) = f^-1(f(g(x))) . . . inverse function applied
f^-1(h(x)) = g(x) . . . . . . . . . simplified
Now f^-1(x) can be found by solving for y in ...
x = f(y)
x = ∛(y+2) . . . . . . . . . definition of f(y)
x^3 = y+2 . . . . . . . . . cube both sides
x^3 -2 = y = f^-1(x) . . . subtract 2 from both sides
So, f^-1(h(x)) is ...
f^-1(h(x)) = g(x) = (∛(x+3))^3 -2 = x+3 -2
g(x) = x+1
Answer:
7
Step-by-step explanation:
We know that x^a / x^b = x^ (a-b)
b^4 / b^ -3 = b^(4 - -3) = b^ (4+3) = b^7
The exponent for b is 7
