Answer:
Need the graph for final answer. Use the values of the graph to substitute into the slope formula and simplify.
Step-by-step explanation:
The average rate of change is the amount over an interval the outputs change in a ratio to the input change. In a linear function, this is constant and called slope. In all other function, it is called the average rate of change because the rate of change varies over the interval. We use the same formula for the average rate of change as we do slope. First we need both the input and output values of the function over the interval.
Slope:
Substitute the values for your function into the slope formula and simplify.
Answer:
a=9
Step-by-step explanation:
a^3 = 729
Taking the cube root of each side
a^3 ^(1/3) = 729^ (1/3)
a = 9
Answer:
3a^4
Step-by-step explanation:
The cube root can be written as ^ 1/3
( 27 a ^12) ^ 1/3
We can write ( ab) ^c as a^c * b^c
27 ^ 1/3 a ^12 ^1/3
Rewriting 27 as 3^3
3^3 ^ 1/3 a ^12 ^1/3
We also know that a^b^c = a^(b*c)
3 ^(3* 1/3) a ^(12 *1/3)
3^1 a^4
3a^4
Answer:
5
5Step-by-step explanation:
If you use the distance formula you can solve it pretty easily. The distance formula is:
d = 
The two points you want are A and D. A is (-1, -4) and D is (3, -1). Plug that into the formula...
d = 
d = 
d = 
d = 
5
I can solve it in a different way if you want me to.
The number is 63, so the quotient is 2.
Two digit numbers divisible by 21:
21, 42, 63, 84
21: 2-1 = 1 * 3.5 = 3.5
3.5*2*1 = 7 but 7 does not equal 21
42: 4-2 = 2 * 3.5 = 7
3.5*4*2 = 28 does not equal 42
63: 6-3 = 3*3.5 = 13.5
3.5*6*3 = 63 :)
Check:
21(6-3)=21(3)= 63 :)
3.5(6)(3) = 21(3) = 63 :)
63: 6/3 = 2
